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The confinement-deconfinement phase transition is explored by lattice numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics with massive fermions at finite temperature. The existence of two phases, one with and the…

High Energy Physics - Lattice · Physics 2008-12-18 Roberto Fiore , Pietro Giudice , Alessandro Papa

The Thirring model in 2+1$d$ with $N$ Dirac flavors can exhibit spontaneous U($2N)\to$U($N)\otimes$U($N$) breaking through fermion - antifermion condensation in the limit $m\to0$. With no small parameter in play the symmetry-breaking…

High Energy Physics - Lattice · Physics 2026-01-23 Simon Hands , Jude Worthy

We report on new data from additional zero temperature simulations of QCD with 12 flavors. This is a continuation of previous studies using the DBW2 gauge action and naive staggered fermions. With the use of the force gradient integrator…

High Energy Physics - Lattice · Physics 2012-03-28 Xiao-Yong Jin , Robert D. Mawhinney

We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1)$\otimes$SU(2) chiral symmetry. A…

Strongly Correlated Electrons · Physics 2021-01-06 Andras Szabo , Bitan Roy

We study the effect of quenched disorder on the semimetal-superconductor quantum phase transition in a model of two-dimensional Dirac semimetal with $N$ flavors of two-component Dirac fermions, using perturbative renormalization group…

Strongly Correlated Electrons · Physics 2018-12-03 Hennadii Yerzhakov , Joseph Maciejko

We combine the recently introduced Non-Abelian Quasi-Particle Model (NAQPM) for gluons with an ideal Fermi gas of three quark species with the aim to describe the equation of state (energy density vs. temperature) of $2+1$ - flavour…

High Energy Physics - Phenomenology · Physics 2025-12-09 Eleftherios P. Politis , Antonis Tsapalis , Fotios K. Diakonos

The fermion disorder operator has been shown to reveal the entanglement information in 1D Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at quantum critical points(QCP). Here we study, by means of…

Strongly Correlated Electrons · Physics 2023-06-29 Zi Hong Liu , Weilun Jiang , Bin-Bin Chen , Junchen Rong , Meng Cheng , Kai Sun , Zi Yang Meng , Fakher F. Assaad

We consider two-dimensional Fermi systems with quadratic band touching and $C_3$ symmetry, as realizable in Bernal-stacked honeycomb bilayers. Within a renormalization-group analysis, we demonstrate the existence of a quantum critical point…

Strongly Correlated Electrons · Physics 2018-12-20 Shouryya Ray , Matthias Vojta , Lukas Janssen

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent…

High Energy Physics - Phenomenology · Physics 2014-08-12 Valentin Kasper , Florian Hebenstreit , Jürgen Berges

We study the $O(2N)$ symmetric Gross-Neveu model at finite density in the presence of a $U(1)$ chemical potential $h$ for a generic number $a \leq N-2$ of fermion fields. By combining perturbative quantum field theory, semiclassical large…

High Energy Physics - Theory · Physics 2025-10-01 Francesco Benini , Ohad Mamroud , Tomas Reis , Marco Serone

The multi-critical behaviour of an approximately scale and conformal invariant quantum field theory, which can be regarded as the deformation of the critical Gross-Neveu model in 3+epsilon dimensions by a nearly marginal parity violating…

High Energy Physics - Theory · Physics 2024-02-16 Gordon W. Semenoff , Riley A. Stewart

Recently the revised phase diagram of the (large N) Gross-Neveu model in 1+1 dimensions with discrete chiral symmetry has been determined numerically. It features three phases, a massless and a massive Fermi gas and a kink-antikink crystal.…

High Energy Physics - Theory · Physics 2009-11-10 Oliver Schnetz , Michael Thies , Konrad Urlichs

We formulate the effective Gross-Neveu-Yukawa theory of the semimetal-insulator transitions on the honeycomb lattice and compute its quantum critical behavior near three (spatial) dimensions. We find that at the critical point Dirac…

Strongly Correlated Electrons · Physics 2009-12-15 Igor F. Herbut , Vladimir Juricic , Oskar Vafek

Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a…

Strongly Correlated Electrons · Physics 2019-08-21 Wei Wang , Da-Chuan Lu , Xiao Yan Xu , Yi-Zhuang You , Zi Yang Meng

We investigate the critical behavior of three-dimensional antiferromagnetic CP(N-1) [ACP(N-1)] models in cubic lattices, which are characterized by a global U(N) symmetry and a local U(1) gauge symmetry. Assuming that critical fluctuations…

Statistical Mechanics · Physics 2015-05-13 Francesco Delfino , Andrea Pelissetto , Ettore Vicari

We study chiral phase transition and confinement of matter fields in (2+1)-dimensional U(1) gauge theory of massless Dirac fermions and scalar bosons. The vanishing scalar boson mass, $r=0$, defines a quantum critical point between the…

Strongly Correlated Electrons · Physics 2010-09-07 Guo-Zhu Liu , Wei Li , Geng Cheng

We identify the global symmetries of SU(2) lattice gauge theory with N flavors of staggered fermion in the presence of a quark chemical potential mu, for fermions in both fundamental and adjoint representations, and anticipate likely…

High Energy Physics - Lattice · Physics 2009-01-07 S. Hands , I. Montvay , S. Morrison , M. Oevers , L. Scorzato , J. Skullerud

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

We investigate spatial two-point correlation functions of mesonic operators in two-flavor lattice QCD at high temperatures. The simulated temperatures over the range $T \in [147, 330]$ MeV, where the critical temperature is estimated around…

We explore the phase structure of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors using lattice field theory. Besides a chirally symmetric phase and a homogeneously broken phase we find evidence for the existence…

High Energy Physics - Lattice · Physics 2022-09-21 Laurin Pannullo , Julian Lenz , Marc Wagner , Björn Wellegehausen , Andreas Wipf