scholarly journals Free energy of hot gauge theories with fermions throughg5

1995 ◽  
Vol 52 (12) ◽  
pp. 7232-7246 ◽  
Author(s):  
Chengxing Zhai ◽  
Boris Kastening
Keyword(s):  
Free Energy ◽  
Gauge Theories

scholarly journals Free energy of hot gauge theories

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
Rajesh R. Parwani
Keyword(s):  
Free Energy ◽  
Gauge Theories

DECONFINEMENT TEMPERATURES FOR SMOOTH STRINGS

1989 ◽  
Vol 04 (01) ◽  
pp. 99-106 ◽  
Author(s):  
XIAOAN ZHOU ◽  
K. S. VISWANATHAN
Keyword(s):  
Free Energy ◽  
Riemann Surfaces ◽  
Reasonable Agreement ◽  
Gauge Theories ◽  
Path Integrals ◽  
String Tension ◽  
Monte Carlo Data ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Genus One

Deconfinement temperatures for smooth strings are obtained by analyzing the free energy of a collection of smooth string excitations. This corresponds to evaluating path integrals on genus one Riemann surfaces. We find that [Formula: see text], where σ is the string tension, for closed smooth strings and [Formula: see text] for open smooth strings, in reasonable agreement with Monte Carlo data for SU(3) lattice gauge theories.

scholarly journals VECTOR INDUCED LATTICE GAUGE THEORIES

1993 ◽  
Vol 08 (29) ◽  
pp. 2793-2801 ◽  
Author(s):  
IGOR PESANDO
Keyword(s):  
Free Energy ◽  
Gauge Theories ◽  
Negative Temperature ◽  
Critical Dimension ◽  
Branched Polymers ◽  
Positive Temperature ◽  
Upper Critical Dimension ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Definition Of

We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We show that the fermionic models have D c = 6 as upper critical dimension for N ≠ ∞ while the N = ∞ model has no upper critical dimension. We also show that the bosonic models without potential are not critical in the range of stability of the integral definition of the partition function but they behave as the fermionic models when we analytically continue the free energy.

scholarly journals Subleading corrections to the S3 free energy of necklace quiver theories dual to massive IIA

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Junho Hong ◽  
James T. Liu
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Gauge Theories ◽  
Fermi Gas ◽  
Tree Level ◽  
Saddle Point Approximation ◽  
Higher Derivative ◽  
The Matrix ◽  
Hooft Limit ◽  
Chern Simons

Abstract We investigate the S3 free energy of $$ \mathcal{N} $$ N = 3 Chern-Simons-matter quiver gauge theories with gauge group U(N)r (r ≥ 2) where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-N limit. We take two different approaches to explore the sub-leading structures of the free energy. First we evaluate the matrix integral for the partition function in the ’t Hooft limit using a saddle point approximation. Second we use an ideal Fermi-gas model to compute the same partition function, but in the limit of fixed Chern-Simons levels. The resulting expressions for the free energy F = − log Z are then compared in the overlapping parameter regime. The Fermi-gas approach also hints at a universal $$ \frac{1}{6} $$ 1 6 log N correction to the free energy. Since the quiver gauge theories we consider are dual to massive Type IIA theory, we expect the sub-leading correction of the planar free energy in the large ’t Hooft parameter limit to match higher-derivative corrections to the tree-level holographic dual free energy, which have not yet been fully investigated.

scholarly journals Free energy and θ dependence of SU(N) gauge theories

2003 ◽  
Vol 119 ◽  
pp. 661-663 ◽  
Author(s):  
L. Del Debbio ◽  
H. Panagopoulos ◽  
E. Vicari
Keyword(s):  
Free Energy ◽  
Gauge Theories

scholarly journals Wilson Loops in Antisymmetric Representations from Localization in Supersymmetric Gauge Theories

2018 ◽  
Vol 30 (07) ◽  
pp. 1840014
Author(s):  
Jorge G. Russo ◽  
Konstantin Zarembo
Keyword(s):  
Free Energy ◽  
Phase Transitions ◽  
Effective Mass ◽  
Wilson Loop ◽  
Gauge Theories ◽  
Wilson Loops ◽  
Two Phase ◽  
Fermi Distribution ◽  
Second Derivatives ◽  
Supersymmetric Gauge

Large-[Formula: see text] phase transitions occurring in massive [Formula: see text] theories can be probed by Wilson loops in large antisymmetric representations. The logarithm of the Wilson loop is effectively described by the free energy of a Fermi distribution and exhibits second-order phase transitions (discontinuities in the second derivatives) as the size of representation varies. We illustrate the general features of antisymmetric Wilson loops on a number of examples where the phase transitions are known to occur: [Formula: see text] SQCD with various mass arrangements and [Formula: see text] theory. As a byproduct, we solve planar [Formula: see text] SQCD with three independent mass parameters. This model has two effective mass scales and undergoes two phase transitions. In memory of Ludvig Dmitrievich Faddeev

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