Date: Thu, 31 Jan 13 01:08:59 GMT Subject: math-ph daily 4 new + 7 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 29 Jan 13 21:00:00 GMT to Wed 30 Jan 13 21:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1301.7082 Date: Tue, 29 Jan 2013 21:43:23 GMT (206kb,D) Title: Spectral curves in gauge/string dualities: integrability, singular sectors and regularization Authors: Boris Konopelchenko, Luis Mart\'inez Alonso, Elena Medina Categories: math-ph math.MP nlin.SI Comments: 29 pages, 4 figures MSC-class: 02.30.Ik, 11.15.-q, 02.10.Yn \\ We study the moduli space of the spectral curves $y^2=W'(z)^2+f(z)$ which characterize the vacua of $\mathcal{N}=1$ $U(n)$ supersymmetric gauge theories with an adjoint Higgs field and a polynomial tree level potential $W(z)$. It is shown that there is a direct way to associate a spectral density and a prepotential functional to these spectral curves. The integrable structure of the Whitham equations is used to determine the spectral curves from their moduli. An alternative characterization of the spectral curves in terms of critical points of a family of polynomial solutions $\mathbb{W}$ to Euler-Poisson-Darboux equations is provided. The equations for these critical points are a generalization of the planar limit equations for one-cut random matrix models. Moreover, singular spectral curves with higher order branch points turn out to be described by degenerate critical points of $\mathbb{W}$. As a consequence we propose a multiple scaling limit method of regularization and show that, in the simplest cases, it leads to the Painlev\`{e}-I equation and its multi-component generalizations. \\ ( http://arxiv.org/abs/1301.7082 , 206kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7139 Date: Wed, 30 Jan 2013 04:30:33 GMT (30kb,D) Title: Solution to the one-dimensional telegrapher's equation subject to a backreaction boundary condition Authors: Thorsten Pr\"ustel and Martin Meier-Schellersheim Categories: math-ph math.MP q-bio.QM Comments: 13 pages, 1 figure \\ We discuss solutions of the one-dimensional telegrapher's equation in the presence of boundary conditions. We revisit the case of a radiation boundary condition and obtain an alternative expression for the already known Green's function. Furthermore, we formulate a backreaction boundary condition, which has been widely used in the context of diffusion-controlled reversible reactions, for a one-dimensional telegrapher's equation and derive the corresponding Green's function. \\ ( http://arxiv.org/abs/1301.7139 , 30kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7216 Date: Wed, 30 Jan 2013 13:28:10 GMT (349kb) Title: On critical behavior in nonlinear evolutionary PDEs with small viscosity Authors: Boris Dubrovin and Maria Elaeva Categories: math-ph math.MP Comments: 16 pages, 7 figures; a reference added MSC-class: 35Q Journal-ref: Russian Journal of Mathematical Physics, vol. 19, (2012) p. 13-22 \\ We address the problem of general dissipative regularization of the quasilinear transport equation. We argue that the local behavior of solutions to the regularized equation near the point of gradient catastrophe for the transport equation is described by the logarithmic derivative of the Pearcey function, a statement generalizing the result of A.M.Il'in. We provide some analytic arguments supporting such conjecture and test it numerically. \\ ( http://arxiv.org/abs/1301.7216 , 349kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7328 Date: Wed, 30 Jan 2013 19:12:10 GMT (20kb) Title: On the Problem of Electromagnetic-Field Quantization Authors: Christian Krattenthaler, Sergey I. Kryuchkov, Alex Mahalov, and Sergei K. Suslov Categories: math-ph math.MP physics.optics Comments: 15 pages, no figures \\ We consider the radiation field operators in a cavity with varying dielectric medium in terms of solutions of Heisenberg's equations of motion for the most general one-dimensional quadratic Hamiltonian. Explicit solutions of these equations are obtained and applications to the radiation field quantization, including randomly varying media, are briefly discussed. \\ ( http://arxiv.org/abs/1301.7328 , 20kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1211.2618 (*cross-listing*) Date: Mon, 12 Nov 2012 13:57:17 GMT (411kb,D) Date (revised v2): Tue, 29 Jan 2013 08:51:44 GMT (590kb,D) Title: Just Renormalizable TGFT's on U(1)^d with Gauge Invariance Authors: Dine Ousmane Samary and Fabien Vignes-Tourneret Categories: hep-th gr-qc math-ph math.MP Comments: 33 pages, 22 figures. One added paragraph on the different notions of connectedness, preciser formulation of the proof of the power counting theorem, more general statements about traciality of tensor graphs Report-no: CIPMA-MPA/032/2012 \\ We study the polynomial Abelian or U(1)^d Tensorial Group Field Theories equipped with a gauge invariance condition in any dimension d. From our analysis, we prove the just renormalizability at all orders of perturbation of the phi^4_6 and phi^6_5 random tensor models. We also deduce that the phi^4_5 tensor model is super-renormalizable. \\ ( http://arxiv.org/abs/1211.2618 , 590kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7211 (*cross-listing*) Date: Wed, 30 Jan 2013 12:56:17 GMT (59kb) Title: On an isomonodromy deformation equation without the Painlev\'e property Authors: Boris Dubrovin and Andrei Kapaev Categories: math.CA math-ph math.MP Comments: 34 pages, 8 figures MSC-class: 34M55, 34M56 \\ We show that the fourth order nonlinear ODE which controls the pole dynamics in the general solution of equation $P_I^2$ compatible with the KdV equation exhibits two remarkable properties: 1)~it governs the isomonodromy deformations of a $2\times2$ matrix linear ODE with polynomial coefficients, and 2)~it does not possesses the Painlev\'e property. We also study the properties of the Riemann--Hilbert problem associated to this ODE and find its large $t$ asymptotic solution for the physically interesting initial data. \\ ( http://arxiv.org/abs/1301.7211 , 59kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7240 (*cross-listing*) Date: Wed, 30 Jan 2013 14:26:39 GMT (88kb) Title: Upper bound and shareability of quantum discord based on the uncertainty principle Authors: Ming-Liang Hu, Heng Fan Categories: quant-ph math-ph math.MP Comments: 5 pages, 1 figure \\ By using the quantum-memory-assisted entropic uncertainty relation (EUR), we derive a computable tight upper bound for quantum discord, which applies to arbitrary bipartite state. Detailed examples show that this upper bound is tighter than other known bounds in a wide regime. Furthermore, we show that for any tripartite pure state and a class of tripartite mixed states, the quantum-memory-assisted EUR imposes a constraint on the shareability of quantum correlations among the constituent parties. This conclusion amends the well accepted result that quantum discord is not monogamous. \\ ( http://arxiv.org/abs/1301.7240 , 88kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7241 (*cross-listing*) Date: Wed, 30 Jan 2013 14:27:50 GMT (17kb) Title: Generalized Calabi's correspondence and complete spacelike surfaces Authors: Hojoo Lee, Jos\'e M. Manzano Categories: math.DG math-ph math.AP math.MP Comments: 18 pages MSC-class: Primary 49Q05, 53A10, Secondary 53C50, 35B08 \\ Extending Calabi's correspondence between minimal graphs in the Euclidean space $\mathbb{R}^3$ and maximal graphs in the Lorentz-Minkowski spacetime $\mathbb{L}^3$ to a wide class of 3-manifolds carrying a unit Killing vector field, we construct a twin correspondence between graphs with prescribed mean curvature $H$ in the Riemannian Generalized Bianchi-Cartan-Vranceanu (GBCV) space $\mathbb{E}^3(M,\tau)$ and spacelike graphs with prescribed mean curvature $\tau$ in the GBCV spacetime $\mathbb{L}^{3}(M, H)$. For instance, the prescribed mean curvature equation in $\mathbb{L}^3$ can be transformed into the minimal surface equation in the generalized Heisenberg space with prescribed bundle curvature. We present several applications of the twin correspondence and study the moduli space of complete spacelike surfaces in the GBCV spacetimes. \\ ( http://arxiv.org/abs/1301.7241 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7278 (*cross-listing*) Date: Wed, 30 Jan 2013 16:32:43 GMT (15kb) Title: Toward a definition of the Quantum Ergodic Hierarchy: Kolmogorov and Bernoulli systems Authors: Mario Castagnino and Ignacio Gomez Categories: quant-ph math-ph math.MP \\ In this paper we translate the two higher levels of the Ergodic Hierarchy, the Kolmogorov level and the Bernoulli level, to quantum language. This paper can be considered as the second part of the paper [M. Castagnino, O. Lombardi, Physica A, 388, 247-267, 2009] to complete the quantum language translation of all levels of the Hierarchy Ergodic. As in paper [M. Castagnino, O. Lombardi, Physica A, 388, 247-267, 2009], we consider the formalism where the states are positive functionals on the algebra of observables and we use the properties of the Wigner transform [M. Hillery, M. O'Connell, R. Scully, E. Wigner, Phys. Rep. 106, 121-167, 1984]. Further conclusions are analyzed on the validity of this approach as a formal treatment of quantum chaos. \\ ( http://arxiv.org/abs/1301.7278 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7288 (*cross-listing*) Date: Wed, 30 Jan 2013 17:04:24 GMT (12kb) Title: The exotic heat-trace asymptotics of a regular-singular operator revisited Authors: Boris Vertman Categories: math.SP math-ph math.MP \\ We discuss the exotic properties of the heat-trace asymptotics for a regular-singular operator with general boundary conditions at the singular end, as observed by Falomir, Muschietti, Pisani and Seeley as well as by Kirsten, Loya and Park. We explain how their results alternatively follow from the general heat kernel construction by Mooers, a natural question that has not been addressed yet, as the latter work did not elaborate explicitly on the singular structure of the heat trace expansion beyond the statement of non-polyhomogeneity of the heat kernel. \\ ( http://arxiv.org/abs/1301.7288 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1301.7351 (*cross-listing*) Date: Wed, 30 Jan 2013 20:35:57 GMT (91kb,D) Title: Why quantum computing is hard - and quantum cryptography is not provably secure Authors: Ross Anderson, Robert Brady Categories: quant-ph cs.CR math-ph math.MP Comments: 8 pages \\ Despite high hopes for quantum computation in the 1990s, progress in the past decade has been slow; we still cannot perform computation with more than about three qubits and are no closer to solving problems of real interest than a decade ago. Separately, recent experiments in fluid mechanics have demonstrated the emergence of a full range of quantum phenomena from completely classical motion. We present two specific hypotheses. First, Kuramoto theory may give a basis for geometrical thinking about entanglement. Second, we consider a recent soliton model of the electron, in which the quantum-mechanical wave function is a phase modulation of a carrier wave. Both models are consistent with one another and with observation. Both models suggest how entanglement and decoherence may be related to device geometry. Both models predict that it will be difficult to maintain phase coherence of more than three qubits in the plane, or four qubits in a three-dimensional structure. The soliton model also shows that the experimental work which appeared to demonstrate a violation of Bell's inequalities might not actually do so; regardless of whether it is a correct description of the world, it exposes a flaw in the logic of the Bell tests. Thus the case for the security of EPR-based quantum cryptography has just not been made. We propose experiments in quantum computation to test this. Finally, we examine two possible interpretations of such soliton models: one is consistent with the transactional interpretation of quantum mechanics, while the other is an entirely classical model in which we do not have to abandon the idea of a single world where action is local and causal. \\ ( http://arxiv.org/abs/1301.7351 , 91kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0802.1959 replaced with revised version Wed, 30 Jan 2013 06:25:05 GMT (15kb) Title: Tropical geometric interpretation of ultradiscrete singularity confinement Authors: Christopher M. Ormerod Categories: math-ph math.DS math.MP Comments: 15 Pages, rewritten to also consider P{\Delta}Es \\ ( http://arxiv.org/abs/0802.1959 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1201.3258 (*cross-listing*) replaced with revised version Wed, 30 Jan 2013 14:31:59 GMT (50kb) Title: Nonscattering solutions and blowup at infinity for the critical wave equation Authors: Roland Donninger and Joachim Krieger Categories: math.AP math-ph math.MP Comments: 53 pages, final version, some additional typos have been fixed MSC-class: 35L05, 35L71 \\ ( http://arxiv.org/abs/1201.3258 , 50kb) ------------------------------------------------------------------------------ \\ arXiv:1202.4928 (*cross-listing*) replaced with revised version Wed, 30 Jan 2013 16:05:49 GMT (451kb,D) Title: A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides Authors: Sonia Fliss Categories: math.SP math-ph math.MP \\ ( http://arxiv.org/abs/1202.4928 , 451kb) ------------------------------------------------------------------------------ \\ arXiv:1203.1364 replaced with revised version Wed, 30 Jan 2013 02:04:47 GMT (55kb) Title: Properties and construction of extreme bipartite states having positive partial transpose Authors: Lin Chen and Dragomir Z. Djokovic Categories: math-ph math.MP quant-ph Comments: Updated version. 32 pages \\ ( http://arxiv.org/abs/1203.1364 , 55kb) ------------------------------------------------------------------------------ \\ arXiv:1204.5054 replaced with revised version Wed, 30 Jan 2013 11:55:08 GMT (0kb,I) Title: Phase structure and critical processes of spectral curves in large N dualities Authors: Gabriel \'Alvarez, Luis Mart\'inez Alonso and Elena Medina Categories: math-ph math.MP Comments: Superseded by new submission, arXiv:1301.5982 MSC-class: 82B7, 81T3, 81T30, 15B52, 14K20 \\ ( http://arxiv.org/abs/1204.5054 , 0kb) ------------------------------------------------------------------------------ \\ arXiv:1205.4958 (*cross-listing*) replaced with revised version Wed, 30 Jan 2013 06:15:34 GMT (14kb) Title: Degrees of entanglement for multipartite systems Authors: A. I. Solomon, C.-L. Ho, G. H. E. Duchamp Categories: quant-ph math-ph math.MP math.RA Comments: 12 pages, no figures Journal-ref: J. Phys. A: Math. Theor. 46 (2013) 075302 \\ ( http://arxiv.org/abs/1205.4958 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1209.3068 replaced with revised version Wed, 30 Jan 2013 06:46:51 GMT (1337kb,D) Title: A Unified Method for Inference of Tokamak Equilibria and Validation of Force-Balance Models Based on Bayesian Analysis Authors: G. T. von Nessi, M. J. Hole Categories: math-ph math.MP physics.data-an Comments: 39 pages, 8 figures, 3 tables \\ ( http://arxiv.org/abs/1209.3068 , 1337kb) ------------------------------------------------------------------------------ \\ arXiv:1301.5212 replaced with revised version Wed, 30 Jan 2013 13:14:26 GMT (206kb) Title: Skeletons and superscars Authors: Stefan Giller and Jaros{\l}aw Janiak Categories: math-ph math.MP nlin.CD quant-ph Comments: 52 pages, 20 figures. arXiv admin note: substantial text overlap with arXiv:1108.2527 MSC-class: 81Q20, 81Q50 \\ ( http://arxiv.org/abs/1301.5212 , 206kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- 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/ For a list of archive mirror sites, see http://arXiv.org/servers.html ----------------------------------------------------------------------------- Third-party submissions cause excessive problems. 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