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We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless fermions: (i) adjoint fermions, and (ii)…

High Energy Physics - Theory · Physics 2018-05-25 Hiroyuki Shimizu , Kazuya Yonekura

SU(3) gauge theories with increasing number of light fermions are the templates of strongly interacting sectors and studying their low-energy dynamics and spectrum is important, both for understanding the strong dynamics of QCD itself, but…

We investigate possible problems with universality in lattice gauge theory where a mixed fundamental SU(2) and SO(3)-invariant gauge group is used: the (second order) finite temperature phase transition becomes involved with first order…

High Energy Physics - Lattice · Physics 2007-05-23 P. W. Stephenson

We study the mass spectrum of mesons at high temperature in $SU(2)$ gauge theory with two flavors of Dirac fundamental fermions. Numerical simulations are carried out on anisotropic lattices using Wilson fermions, with lattice parameters…

High Energy Physics - Lattice · Physics 2017-02-27 Jong-Wan Lee , Biagio Lucini , Maurizio Piai

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Biagio Lucini

The QCD phase diagram at finite temperature and density is a topic of considerable interest. Although much progress has been made in recent years, some open questions remain. Even at zero density, the order of the transition for two light…

High Energy Physics - Lattice · Physics 2008-11-26 Bertram Klein , Jens Braun

We consider multicomponent Abelian Higgs (AH) gauge theories with multiparameter scalar quartic potentials that are extensions, with a smaller global symmetry group, of $SU(N)$-invariant AH theories. In particular, we consider an AH model…

Statistical Mechanics · Physics 2024-04-16 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Let B be the largest spacing between adjacent eigenvalues of the Polyakov loop. We propose to employ the distribution of B as an order parameter for the finite temperature phase transition in SU(N) lattice gauge theories. Using smeared…

High Energy Physics - Lattice · Physics 2009-11-10 F. Berruto , R. Narayanan , H. Neuberger

It is widely anticipated that a large-scale quantum computer will offer an evermore accurate simulation of nature, opening the floodgates for exciting scientific breakthroughs and technological innovations. Here, we show a complete,…

Quantum Physics · Physics 2022-01-27 Angus Kan , Yunseong Nam

We have been studying QCD with 2 flavours of colour-sextet quarks as a candidate walking-Technicolor theory using lattice-QCD simulations. The evolution of the coupling constant with lattice spacing is measured at the finite-temperature…

High Energy Physics - Lattice · Physics 2014-07-23 J. B. Kogut , D. K. Sinclair

The three-dimensional integer-valued lattice gauge theory, which is also known as a "frozen superconductor," can be obtained as a certain limit of the Ginzburg-Landau theory of superconductivity, and is believed to be in the same…

Superconductivity · Physics 2007-05-23 T. Neuhaus , A. Rajantie , K. Rummukainen

In strongly coupled supersymmetric SO(N_c) gauge theories with N_f-quarks for N_c-2<=N_f(<=3(N_c-2)/2), their low-energy physics can be described by Nambu-Goldstone superfields associated with dynamical flavor symmetry breaking, which…

High Energy Physics - Theory · Physics 2011-07-19 Masaki Yasue

I present a calculation of the topological susceptibility $\chi_T$ in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate flavors of fermions. The results lie on a common curve when expressed in terms of the combination $N_c…

High Energy Physics - Lattice · Physics 2020-07-01 Thomas DeGrand

We review recent developments in our understanding of the dynamics of strongly-coupled chiral $SU(N)$ gauge theories in four dimensions, problems which are potentially important in our quest to go beyond the standard $SU(3)_{QCD} \times…

High Energy Physics - Theory · Physics 2024-03-26 Kenichi Konishi , Stefano Bolognesi , Andrea Luzio

Large-N expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field theory. This is a counterexample to the standard…

High Energy Physics - Lattice · Physics 2009-10-22 Aleksandar Kocic , John Kogut

Renormalization group flows of the $SU(N_f)\times SU(N_f)$ symmetric Ginzburg-Landau potential are calculated for a general number of flavors, $N_f$. Our approach does not rely on the $\epsilon$ expansion, but uses the functional…

High Energy Physics - Phenomenology · Physics 2024-07-30 G. Fejos , T. Hatsuda

We compute the nonzero temperature free energy up to the order g^6 \ln(1/g) in the coupling constant for vector like SU(N) gauge theories featuring matter transforming according to different representations of the underlying gauge group.…

High Energy Physics - Phenomenology · Physics 2011-03-07 Matin Mojaza , Claudio Pica , Francesco Sannino

We present the latest results from our ongoing lattice field theory investigations of maximally supersymmetric Yang--Mills theory in three space-time dimensions, focusing on its non-perturbative phase diagram. Exploiting a lattice…

High Energy Physics - Lattice · Physics 2025-10-22 David Schaich , Angel Sherletov

Motivated by questions about the QCD deconfining phase transition, we studied in two previous papers Model A (Glauber) dynamics of 2D and 3D Potts models, focusing on structure factor evolution under heating (heating in the gauge theory…

High Energy Physics - Lattice · Physics 2009-11-11 Alexei Bazavov , Bernd A. Berg , Alexander Velytsky

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