Date: Fri, 24 Apr 20 00:23:36 GMT
Subject: hep-lat daily 2 new +  crosses received   by eprepget 

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arXiv:2004.10800
Date: Wed, 22 Apr 2020 19:10:42 GMT   (68kb)

Title: New approach to lattice QCD at finite density; results for the critical
  end point on coarse lattices
Authors: Matteo Giordano, Kornel Kapas, Sandor D. Katz, Daniel Nogradi, Attila
  Pasztor
Categories: hep-lat
Comments: 13 pages, 17 figures
\\
  All approaches currently used to study finite baryon density lattice QCD
suffer from uncontrolled systematic uncertainties in addition to the well-known
sign problem. We formulate and test an algorithm, sign reweighting, that works
directly at finite $\mu = \mu_B/3$ and is yet free from any such uncontrolled
systematics. With this algorithm the {\em only} problem is the sign problem
itself. This approach involves the generation of configurations with the
positive fermionic weight $|{\rm Re\; det} D(\mu)|$ where $D(\mu)$ is the Dirac
matrix and the signs ${\rm sign} \; ( {\rm Re\; det} D(\mu) ) = \pm 1$ are
handled by a discrete reweighting. Hence there are only two sectors, $+1$ and
$-1$ and as long as the average $\langle\pm 1\rangle \neq 0$ (with respect to
the positive weight) this discrete reweighting by the signs carries no overlap
problem and the results are reliable. The approach is tested on $N_t = 4$
lattices with $2+1$ flavors and physical quark masses using the unimproved
staggered discretization. By measuring the Fisher (sometimes also called
Lee-Yang) zeros in the bare coupling on spatial lattices $L/a = 8, 10, 12$ we
conclude that the cross-over present at $\mu = 0$ becomes stronger at $\mu > 0$
and is consistent with a true phase transition at around $\mu_B/T \sim 2.4$.
\\ ( https://arxiv.org/abs/2004.10800 ,  68kb)
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arXiv:2004.11063
Date: Thu, 23 Apr 2020 10:46:25 GMT   (277kb,D)

Title: On the colour dependence of tensor and scalar glueball masses in
  Yang-Mills theories
Authors: Ed Bennett, Jack Holligan, Deog Ki Hong, Jong-Wan Lee, C.-J. David
  Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino
Categories: hep-lat hep-ph hep-th
Comments: 6 pages, 1 figure
Report-no: PNUTP-20/A02
\\
  We report the masses of the lightest spin-0 and spin-2 glueballs obtained in
an extensive lattice study of the continuum and infinite volume limits of
$Sp(N_c)$ gauge theories for $N_c=2,4,6,8$. We also extrapolate the combined
results towards the large-$N_c$ limit. We compute the ratio of scalar and
tensor masses, and observe evidence that this ratio is independent of $N_{c}$.
Other lattice studies of Yang-Mills theories at the same space-time dimension
provide a compatible ratio. We further compare these results to various
analytical ones and discuss them in view of symmetry-based arguments related to
the breaking of scale invariance in the underlying dynamics, showing that a
constant ratio might emerge in a scenario in which the $0^{++}$ glueball is
interpreted as a dilaton state.
\\ ( https://arxiv.org/abs/2004.11063 ,  277kb)
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