Date: Thu, 27 Feb 20 01:25:04 GMT Subject: math-ph daily 2 new + 11 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 25 Feb 20 19:00:00 GMT to Wed 26 Feb 20 19:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:2002.11585 Date: Wed, 26 Feb 2020 16:09:55 GMT (14kb) Title: Lie symmetry analysis and one-dimensional optimal system for the generalized 2+1 Kadomtsev-Petviashvili equation Authors: Andronikos Paliathanasis Categories: math-ph math.AP math.MP Comments: 15 pages, 8 tables, no figures \\ We classify the Lie point symmetries for the 2+1 nonlinear generalized Kadomtsev-Petviashvili equation by determine all the possible f(u) functional forms where the latter depends. For each case the one-dimensional optimal system is derived; a necessary analysis to find all the possible similarity transformations which simplify the equation. We demonstrate our results by constructing static and travel-wave similarity solutions. In particular the latter solutions satisfy a second-order nonlinear ordinary differential equation which can be solved by quadratures. \\ ( https://arxiv.org/abs/2002.11585 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11700 Date: Wed, 26 Feb 2020 18:44:30 GMT (21kb) Title: Actions for twisted spectral triple and the transition from the Euclidean to the Lorentzian Authors: Agostino Devastato, Manuele Filaci, Pierre Martinetti, Devashish Singh Categories: math-ph gr-qc hep-th math.MP Comments: Proceedings of the INFN meeting "Current problem in theoretical physics", Vietri April 2019 \\ This is a review of recent results regarding the application of Connes' noncommutative geometry to the Standard Model, and beyond. By twisting (in the sense of Connes-Moscovici) the spectral triple of the Standard Model, one does not only get an extra scalar field which stabilises the electroweak vacuum, but also an unexpected 1-form field. By computing the fermionic action, we show how this field induces a transition from the Euclidean to the Lorentzian signature. Hints on a twisted version of the spectral action are also briefly mentioned. \\ ( https://arxiv.org/abs/2002.11700 , 21kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:2002.09933 (*cross-listing*) Date: Sun, 23 Feb 2020 16:22:01 GMT (17kb) Title: Real analyticity of accessory parameters Authors: Pietro Menotti Categories: hep-th math-ph math.MP Comments: 24 pages LaTex Report-no: IFUP-TH/2020 \\ We consider the problem of the real analytic dependence of the accessory parameters of Liouville theory on the moduli of the problem, for general elliptic singularities. We give a simplified proof of the almost everywhere real analyticity in the case of a single accessory parameter as it occurs e.g. in the sphere topology with four sources or for the torus topology with a single source by using only the general analyticity properties of the solution of the auxiliary equation. We deal then the case of two accessory parameters. We use the obtained result for a single accessory parameter to derive rigorous properties of the projection of the problem on lower dimensional planes. We derive the real analyticity result for two accessory parameters under an assumption of irreducibility. \\ ( https://arxiv.org/abs/2002.09933 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:2002.09981 (*cross-listing*) Date: Sun, 23 Feb 2020 20:22:00 GMT (1153kb,D) Title: Explicit kinks in higher-order field theories Authors: Vakhid A. Gani, Aliakbar Moradi Marjaneh, Petr A. Blinov Categories: hep-th math-ph math.MP nlin.PS Comments: 17 pages, 7 figures \\ We study an example of higher-order field-theoretic model with an eighth-degree polynomial potential -- the $\varphi^8$ model. We show that for some certain ratios of constants of the potential, the problem of finding kink-type solutions in $(1+1)$-dimensional space-time reduces to solving algebraic equations. For two different ratios of the constants, which determine positions of the vacua, we obtained explicit formulae for kinks in all topological sectors. The properties of the obtained kinks are also studied -- their masses are calculated, and the excitation spectra which could be responsible for the appearance of resonance phenomena in kink-antikink scattering are found. \\ ( https://arxiv.org/abs/2002.09981 , 1153kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11127 (*cross-listing*) Date: Tue, 25 Feb 2020 19:00:02 GMT (2813kb,D) Title: Quantum correlations in $\mathcal{PT}$-symmetric systems Authors: Federico Roccati, Salvatore Lorenzo, G. Massimo Palma, Gabriel T. Landi, Matteo Brunelli and Francesco Ciccarello Categories: quant-ph cond-mat.mes-hall math-ph math.MP Comments: Submitted. Supersedes previous (unsubmitted) preliminary report arXiv:1907.00975 with a radical revision and several major new results \\ We study the dynamics of correlations in a paradigmatic setup to observe $\mathcal{PT}$-symmetric physics: a pair of coupled oscillators, one subject to a gain one to a loss. Starting from a coherent state, quantum correlations (QCs) are created, despite the system being driven only incoherently, and can survive indefinitely. $\mathcal{PT}$ symmetry breaking is accompanied by non-zero stationary QCs. We link $\mathcal{PT}$ symmetry breaking to the long-time behavior of both total and QCs, which display different scalings in the $\mathcal{PT}$-broken/unbroken phase and at the exceptional point (EP). This is analytically shown and quantitatively explained in terms of entropy balance. The EP in particular stands out as the most classical configuration. \\ ( https://arxiv.org/abs/2002.11127 , 2813kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11168 (*cross-listing*) Date: Tue, 25 Feb 2020 20:47:56 GMT (98kb) Title: Perturbative Quantum Field Theory and Homotopy Algebras Authors: Branislav Jurco, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf Categories: hep-th math-ph math.MP Comments: 25 pages, contribution to the proceedings of the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" Report-no: DMUS-MP-20/01, EMPG-20-06 \\ We review the homotopy algebraic perspective on perturbative quantum field theory: classical field theories correspond to homotopy algebras such as $A_\infty$- and $L_\infty$-algebras. Furthermore, their scattering amplitudes are encoded in minimal models of these homotopy algebras at tree level and their quantum relatives at loop level. The translation between Lagrangian field theories and homotopy algebras is provided by the Batalin--Vilkovisky formalism. The minimal models are computed recursively using the homological perturbation lemma, which induces useful recursion relations for the computation of scattering amplitudes. After explaining how the homological perturbation lemma produces the usual Feynman diagram expansion, we use our techniques to verify an identity for the Berends--Giele currents which implies the Kleiss--Kuijf relations. \\ ( https://arxiv.org/abs/2002.11168 , 98kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11345 (*cross-listing*) Date: Wed, 26 Feb 2020 08:12:31 GMT (318kb,D) Title: Jordan-Wigner Dualities for Translation-Invariant Hamiltonians in Any Dimension: Emergent Fractons that are Fermions Authors: Nathanan Tantivasadakarn Categories: cond-mat.str-el cond-mat.stat-mech hep-th math-ph math.MP quant-ph Comments: 27 pages, 4 figures, 7 tables \\ Inspired by recent developments generalizing Jordan-Wigner dualities to higher dimensions, we develop a framework for such dualities for translation-invariant Hamiltonians using the algebraic formalism proposed by Haah. We prove that given a translation-invariant fermionic system with generic $q$-body interactions, where $q$ is even, a local mapping preserving global fermion parity to a dual Pauli spin model exists and is unique up to a choice of basis. Furthermore, the dual spin model is constructive, and we present various examples of these dualities. As an application, we bosonize fermionic systems where fermion parity is conserved on submanifolds such as higher-form, line, planar or fractal symmetry. For some cases in 3+1D, bosonizing such system can give rise to fracton models where the emergent particles are immobile, but yet can be behave in certain ways like fermions. These models may be examples of new non-relativistic 't Hooft anomalies. Furthermore, fermionic subsystem symmetries are also present in various Majorana stabilizer codes, such as the color code or the checkerboard model, and we give examples where their duals are cluster states or new fracton models distinct from their doubled CSS codes. \\ ( https://arxiv.org/abs/2002.11345 , 318kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11358 (*cross-listing*) Date: Wed, 26 Feb 2020 08:53:16 GMT (191kb) Title: Perihelion librations in the secular three--body problem Authors: Gabriella Pinzari Categories: math.DS math-ph math.MP Comments: 3 Figures, 30 pages \\ A normal form theory for non--quasi--periodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in [15] to prove, in the averaged, planar three--body problem, the existence of a plenty of motions where, periodically, the perihelion of the inner body affords librations about one equilibrium position and its ellipse squeezes to a segment before reversing its direction and again decreasing its eccentricity (perihelion librations). \\ ( https://arxiv.org/abs/2002.11358 , 191kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11380 (*cross-listing*) Date: Wed, 26 Feb 2020 09:47:37 GMT (884kb,D) Title: The Vlasov-Amp\`ere system and the Bernstein-Landau paradox Authors: Fr\'ed\'erique Charles, Bruno Despr\'es, Alexandre Rege, Ricardo Weder Categories: physics.plasm-ph math-ph math.MP math.SP MSC-class: 35P10, 35P15, 35Q83 \\ We study the Bernstein-Landau paradox in the collisionless motion of an electrostatic plasma in the presence of a constant external magnetic field. The Bernstein-Landau paradox consists in that in the presence of the magnetic field, the electric field and the charge density fluctuation have an oscillatory behavior in time. This is radically different from Landau damping, in the case without magnetic field, where the electric field tends to zero for large times. We consider this problem from a new point of view. Instead of analyzing the linear Vlasov-Poisson system, as it is usually done, we study the linear Vlasov-Amp\`ere system. We formulate the Vlasov-Amp\`ere system as a Schr\"odinger equation with a selfadjoint Vlasov-Amp\`ere operator in the Hilbert space of states with finite energy. The Vlasov-Amp\`ere operator has a complete set of orthonormal eigenfunctions, that include the Bernstein modes. The expansion of the solution of the Vlasov-Amp\`ere system in the eigenfunctions shows the oscillatory behavior in time. We prove the convergence of the expansion under optimal conditions, assuming only that the initial state has finite energy. This solves a problem that was recently posed in the literature. The Bernstein modes are not complete. To have a complete system it is necessary to add eigenfunctions that are associated with eigenvalues at all the integer multiples of the cyclotron frequency. These special plasma oscillations actually exist on their own, without the excitation of the other modes. In the limit when the magnetic fields goes to zero the spectrum of the Vlasov-Amp\`ere operator changes drastically from pure point to absolutely continuous in the orthogonal complement to its kernel , due to a sharp change on its domain. This explains the Bernstein-Landau paradox. Furthermore, we present numerical simulations that illustrate the Bernstein-Landau paradox. \\ ( https://arxiv.org/abs/2002.11380 , 884kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11478 (*cross-listing*) Date: Sat, 15 Feb 2020 11:19:15 GMT (567kb,D) Title: Braided Commutative Geometry and Drinfel'd Twist Deformations Authors: Thomas Weber Categories: math.QA math-ph math.MP Comments: PhD Thesis, 152 pages \\ In this thesis we give obstructions for Drinfel'd twist deformation quantization on several classes of symplectic manifolds. Motivated from this quantization procedure, we further construct a noncommutative Cartan calculus on any braided commutative algebra, as well as an equivariant Levi-Civita covariant derivative for any non-degenerate equivariant metric. This generalizes and unifies the Cartan calculus on a smooth manifold and the Cartan calculus on twist star product algebras. We prove that the Drinfel'd functor leads to equivalence classes in braided commutative geometry and commutes with submanifold algebra projection. \\ ( https://arxiv.org/abs/2002.11478 , 567kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11487 (*cross-listing*) Date: Wed, 26 Feb 2020 13:52:12 GMT (46kb,D) Title: On clusters of Brownian loops in d dimensions Authors: Wendelin Werner Categories: math.PR math-ph math.MP \\ We discuss random geometric structures obtained by percolation of Brownian loops, in relation to the Gaussian Free Field, and how their existence and properties depend on the dimension of the ambient space. We formulate a number of conjectures for the cases d=3,4,5 and prove some results when d > 6. \\ ( https://arxiv.org/abs/2002.11487 , 46kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11580 (*cross-listing*) Date: Wed, 26 Feb 2020 16:00:43 GMT (192kb) Title: Anderson-Bernoulli localization with large disorder on the 2D lattice Authors: Linjun Li Categories: math.AP math-ph math.MP math.PR math.SP Comments: 34 pages, 1 figure \\ We consider Anderson-Bernoulli model on $\mathbb{Z}^2$ with large disorder. Given $\bar{V}$ a large real number, define the random potential function $V:\mathbb{Z}^2 \rightarrow \{0,\bar{V}\}$ such that $\{V(a):a\in \mathbb{Z}^2\}$ is a family of i.i.d. random variables with $\mathbb{P}\left[V(a)=0\right]=\frac{1}{2}$ and $\mathbb{P}\left[V(a)=\bar{V}\right]=\frac{1}{2}$. We prove the Anderson localization of operator $H=-\Delta+V$ outside a neighborhood of finitely many energies which has small Lebesgue measure. \\ ( https://arxiv.org/abs/2002.11580 , 192kb) ------------------------------------------------------------------------------ \\ arXiv:2002.11632 (*cross-listing*) Date: Tue, 25 Feb 2020 15:03:22 GMT (20kb) Title: Lower semi-frames and metric operators Authors: J-P. Antoine, R. Corso and C. Trapani Categories: math.FA math-ph math.MP Comments: 17 pages, 0 figures MSC-class: 46Bxx, 47Bxx, 46Exx \\ This paper deals with the possibility of transforming a weakly measurable function in a Hilbert space into a continuous frame by a metric operator, i.e., a strictly positive self-adjoint operator. A necessary condition is that the domain of the analysis operator associated to the function be dense. The study is done also with the help of the generalized frame operator associated to a weakly measurable function, which has better properties than the usual frame operator. A special attention is given to lower semi-frames: indeed if the domain of the analysis operator is dense, then a lower semi-frame can be transformed into a Parseval frame with a (special) metric operator. \\ ( https://arxiv.org/abs/2002.11632 , 20kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1904.09168 replaced with revised version Wed, 26 Feb 2020 17:32:33 GMT (156kb) Title: Magnetization in the zig-zag layered Ising model and orthogonal polynomials Authors: Dmitry Chelkak, Cl\'ement Hongler, and R\'emy Mahfouf Categories: math-ph math.MP math.PR math.SP Comments: 35 pages, 6 figures; minor updates (incl. references) MSC-class: 82B20, 47B36, 33C47 \\ ( https://arxiv.org/abs/1904.09168 , 156kb) ------------------------------------------------------------------------------ \\ arXiv:1906.03257 (*cross-listing*) replaced with revised version Wed, 26 Feb 2020 06:58:20 GMT (14kb,D) Title: Bounds and Gaps of Positive Eigenvalues of Magnetic Schr\"{o}dinger Operators with No or Robin Boundary Conditions Authors: Norihiro Someyama Categories: math.SP math-ph math.MP \\ ( https://arxiv.org/abs/1906.03257 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1908.06721 (*cross-listing*) replaced with revised version Wed, 26 Feb 2020 13:48:57 GMT (1446kb,D) Title: Computing Spectral Measures and Spectral Types Authors: Matthew John Colbrook Categories: math.SP cs.NA math-ph math.FA math.MP math.NA \\ ( https://arxiv.org/abs/1908.06721 , 1446kb) ------------------------------------------------------------------------------ \\ arXiv:1910.02878 (*cross-listing*) replaced with revised version Wed, 26 Feb 2020 15:56:25 GMT (766kb) Title: Topological Origin of Non-Hermitian Skin Effects Authors: Nobuyuki Okuma, Kohei Kawabata, Ken Shiozaki, and Masatoshi Sato Categories: cond-mat.mes-hall cond-mat.str-el math-ph math.MP physics.optics quant-ph Comments: 7+21 pages, 2+3 figures Journal-ref: Phys. Rev. Lett.124, 086801 (2020) DOI: 10.1103/PhysRevLett.124.086801 \\ ( https://arxiv.org/abs/1910.02878 , 766kb) ------------------------------------------------------------------------------ \\ arXiv:1911.03348 replaced with revised version Wed, 26 Feb 2020 11:19:35 GMT (26kb,D) Title: On the transfer matrix of the supersymmetric eight-vertex model. II. Open boundary conditions Authors: Christian Hagendorf, Jean Li\'enardy Categories: math-ph cond-mat.stat-mech math.MP nlin.SI Comments: Revised version, 28 pages \\ ( https://arxiv.org/abs/1911.03348 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1911.05359 replaced with revised version Wed, 26 Feb 2020 09:52:24 GMT (34kb) Title: Stress-Energy in Liouville Conformal Field Theory Authors: Antti Kupiainen, Joona Oikarinen Categories: math-ph math.MP math.PR Comments: Revised version, 30 pages \\ ( https://arxiv.org/abs/1911.05359 , 34kb) ------------------------------------------------------------------------------ \\ arXiv:1911.05875 replaced with revised version Tue, 25 Feb 2020 20:03:35 GMT (2209kb,D) Title: Free energy and entropy for finite temperature quantum field theory under the influence of periodic backgrounds Authors: M. Bordag and J. M. Mu\~noz-Casta\~neda and L. Santamar\'ia-Sanz Categories: math-ph cond-mat.stat-mech hep-th math.MP quant-ph Comments: some typos have been corrected and some comments have been added to clarify certain parts of the paper Accepted for publication in Eur. Phys J. C \\ ( https://arxiv.org/abs/1911.05875 , 2209kb) ------------------------------------------------------------------------------ \\ arXiv:1912.00861 (*cross-listing*) replaced with revised version Wed, 26 Feb 2020 01:25:00 GMT (258kb,D) Title: Dynamics of black holes in Jackiw-Teitelboim gravity Authors: S. Josephine Suh Categories: hep-th cond-mat.str-el gr-qc math-ph math.MP Comments: 16 pages plus appendices, 9 figures. v.2: extended appendices, minor changes. v.3: added references, minor changes \\ ( https://arxiv.org/abs/1912.00861 , 258kb) ------------------------------------------------------------------------------ \\ arXiv:1912.04987 replaced with revised version Tue, 25 Feb 2020 19:11:11 GMT (98kb,D) Title: Analysis of a simple equation for the ground state energy of the Bose gas Authors: Eric Carlen, Ian Jauslin, Elliott H. Lieb Categories: math-ph cond-mat.quant-gas math.AP math.MP Comments: v3: Minor fix. v2: We have solved one of the open problems in v1, specifically, the positivity of the solution to the equation \\ ( https://arxiv.org/abs/1912.04987 , 98kb) ------------------------------------------------------------------------------ \\ arXiv:2002.02438 (*cross-listing*) replaced with revised version Wed, 26 Feb 2020 18:57:33 GMT (193kb) Title: Fluctuation around the circular law for random matrices with real entries Authors: Giorgio Cipolloni, L\'aszl\'o Erd\H{o}s, Dominik Schr\"oder Categories: math.PR math-ph math.MP Comments: 49 pages. Statement on the asymptotic independence of singular values added MSC-class: 60B20, 15B52 \\ ( https://arxiv.org/abs/2002.02438 , 193kb) ------------------------------------------------------------------------------ \\ arXiv:2002.10929 (*cross-listing*) replaced with revised version Wed, 26 Feb 2020 14:58:51 GMT (10kb) Title: Duality Between Quantization and Measurement Authors: Yosuke Morimoto Categories: quant-ph math-ph math.MP Comments: 6 pages \\ ( https://arxiv.org/abs/2002.10929 , 10kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arxiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arxiv.org/help/