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We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

The partition function of general N = 2 supersymmetric SU(2) Yang-Mills theories on a four-sphere localizes to a matrix integral. We show that in the decompactification limit, and in a certain regime, the integral is dominated by a saddle…

High Energy Physics - Theory · Physics 2015-06-23 Jorge G. Russo

Itinerant ferromagnetism in dilute Fermi gases is predicted to emerge at values of the gas parameter where second-order perturbation theory is not accurate enough to properly describe the system. We have revisited perturbation theory for…

Quantum Gases · Physics 2024-08-07 Jordi Pera , Joaquim Casulleras , Jordi Boronat

The statistical mechanics of a mixed gas of adjoint and fundamental representation charges interacting via 1+1-dimensional U(N) gauge fields is investigated. In the limit of large N we show that there is a first order deconfining phase…

High Energy Physics - Theory · Physics 2007-05-23 C. R. Gattringer , L. D. Paniak , G. W. Semenoff

The temperature phase transition in the N-component scalar field theory with spontaneous symmetry breaking is investigated in the perturbative approach. The second Legendre transform is used together with the consideration of the gap…

High Energy Physics - Theory · Physics 2009-09-25 M. Bordag , V. Skalozub

In this paper, we study the statistical mechanics within the polymer quantization framework in the semiclassical regime. We apply a non-canonical transformation to the phase space variables. Then, we use this non-canonical transformation to…

General Relativity and Quantum Cosmology · Physics 2025-11-24 Kourosh Nozari , Hamed Ramezani

We consider the U(n)xU(m) symmetric Phi^4 Lagrangian to describe the finite-temperature phase transition in QCD in the limit of vanishing quark masses with n=m=N_f flavors and unbroken anomaly at T_c. We compute the Renormalization Group…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pasquale Calabrese , Pietro Parruccini

We study the thermodynamics of SU(N_c) pure gauge theories for N_c=3, 4 and 6. The continuum and thermodynamic limits of bulk quantities such as the pressure, energy density and the entropy density are taken by using several different…

High Energy Physics - Lattice · Physics 2010-12-24 Saumen Datta , Sourendu Gupta

Using relativistic quantum mechanics, we study the spectrum of a non-BPS two-particle bound state in the massive phase of $\mathcal{N}=4$ super Yang-Mills, in the limit when one of the particles is infinitely heavier than the other. We find…

High Energy Physics - Theory · Physics 2017-09-12 Yusuke Sakata , Robin Schneider , Yuji Tachikawa , Takemasa Yamaura

We study the deconfining phase transition at nonzero temperature in a SU(N) gauge theory, using a matrix model which was analyzed previously at small N. We show that the model is soluble at infinite N, and exhibits a Gross-Witten-Wadia…

High Energy Physics - Theory · Physics 2015-06-05 Robert D. Pisarski , Vladimir V. Skokov

An analytical and nonperturbative approach to SU(2) and SU(3) Yang-Mills thermodynamics is developed and applied. Each theory comes in three phases: A deconfining, a preconfining, and a confining one. We show how macroscopic and inert…

High Energy Physics - Theory · Physics 2010-11-05 Ralf Hofmann

Low temperature ultrasound velocity measurements are presented on the frustrated spin system SrDy2O4 that allow us to define high resolution phase diagrams with the magnetic field applied along all three principal axes. For H||b, a region…

Strongly Correlated Electrons · Physics 2016-03-16 C. Bidaud , O. Simard , G. Quirion , B. Prévost , S. Daneau , A. D. Bianchi , H. A. Dabkowska , J. A. Quilliam

The deconfining transition in $SU(3)$ gauge theory, traditionally interpreted through the Gross-Witten-Wadia (GWW) model as a sharp third-order phase transition in the large-$N_c$ limit, appears as a smooth crossover in lattice QCD. This…

High Energy Physics - Lattice · Physics 2026-01-21 Airton Deppman

We study the quantum and thermal phase transition phenomena of the SU(3) Heisenberg model on triangular lattice in the presence of magnetic fields. Performing a scaling analysis on large-size cluster mean-field calculations endowed with a…

Strongly Correlated Electrons · Physics 2020-08-18 Daisuke Yamamoto , Chihiro Suzuki , Giacomo Marmorini , Sho Okazaki , Nobuo Furukawa

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba

Two-dimensional (2D) materials enable new types of magnetic and electronic phases mediated by their reduced dimensionality like magic-angle induced phase transitions, 2D Ising antiferromagnets and ferromagnetism in 2D atomic layers and…

The thermodynamics of the deconfined phase of the SU(N) gauge theory is studied. Careful study is made of the approach to the continuum limit. The latent heat of the deconfinement transition is studied, for the theories with 3, 4 and 6…

High Energy Physics - Lattice · Physics 2011-01-04 Saumen Datta , Sourendu Gupta

We calculate the phase diagrams at high temperature of SU(N) gauge theories with massive fermions by minimizing the one-loop effective potential. Considering fermions in the adjoint (Adj) representation at various N we observe a variety of…

High Energy Physics - Theory · Physics 2009-11-13 Joyce C. Myers , Michael C. Ogilvie

We study the non-perturbative properties of N=2 super conformal field theories in four dimensions using localization techniques. In particular we consider SU(2) gauge theories, deformed by a generic epsilon-background, with four fundamental…

High Energy Physics - Theory · Physics 2015-06-12 Marco Billo , Marialuisa Frau , Laurent Gallot , Alberto Lerda , Igor Pesando

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

Statistical Mechanics · Physics 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu