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Quenched QCD at zero baryonic chemical potential undergoes a first-order deconfinement phase transition at a critical temperature $T_c$, which is related to the spontaneous breaking of the global center symmetry. Including heavy, dynamical…

High Energy Physics - Lattice · Physics 2021-12-17 Reinhold Kaiser , Owe Philipsen , Alessandro Sciarra

A grand canonical system of non-interacting fermions on a square lattice is considered at zero temperature. Three different phases exist: an empty lattice, a completely filled lattice and a liquid phase which interpolates between the other…

Condensed Matter · Physics 2015-06-25 M. Hettler , K. Ziegler

We give another derivation of quark confinement in QCD from the viewpoint of the low-energy effective Abelian gauge theory of QCD obtained via Abelian projection. It is based on the recently discovered Berezinskii-Kosterlitz-Thouless phase…

High Energy Physics - Theory · Physics 2009-10-31 Kei-Ichi Kondo

We study the phase diagram of the Gross-Neveu model in d=2+1 space-time dimensions in the plane spanned by temperature and the number of massless fermion flavors. We use a functional renormalization group approach based on a nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-09-09 Daniel D. Scherer , Jens Braun , Holger Gies

We have performed numerical simulations of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions. The fermions are discretized with the tadpole-improved clover action. Our simulations are done on lattices of length…

High Energy Physics - Lattice · Physics 2009-02-20 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial…

High Energy Physics - Theory · Physics 2024-05-01 Hiromasa Watanabe

One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. In the standard model, we observe three fundamentally different types of behavior: QCD is in a confined phase at zero temperature, while the…

High Energy Physics - Theory · Physics 2015-06-12 Michael C. Ogilvie

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

High Energy Physics - Lattice · Physics 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

We investigate the possibility of reproducing the continuum physics of 2d SU(N) gauge theory coupled to a single flavor of massless Dirac fermions using qubit regularization. The continuum theory is described by N free fermions in the…

High Energy Physics - Lattice · Physics 2024-01-01 Hanqing Liu , Tanmoy Bhattacharya , Shailesh Chandrasekharan , Rajan Gupta

We investigate the phase diagram and critical properties of a one-dimensional $\mathbb{Z}_{2}$ lattice gauge theory describing an orthogonal metal, where spinless fermions and Ising spins are minimally coupled to a deconfined…

Strongly Correlated Electrons · Physics 2026-03-19 Bachana Beradze , Mikheil Tsitsishvili , Sergej Moroz

Topological phases of matter are usually realized in deconfined phases of gauge theories. In this context, confined phases with strongly fluctuating gauge fields seem to be irrelevant to the physics of topological phases. For example, the…

Strongly Correlated Electrons · Physics 2016-09-06 Peng Ye , Taylor L. Hughes , Joseph Maciejko , Eduardo Fradkin

We study SU(2) lattice gauge theory with two flavors of Wilson fermion at non-zero chemical potential mu and low temperature on a 8^3x16 system. We identify three regimes along the mu-axis. For mu<~m_pi/2 the system remains in the vacuum…

High Energy Physics - Lattice · Physics 2009-01-07 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

We investigate gauge theories based on the smallest exceptional simple lie group G(2). Our first model considered here is G(2) Yang-Mills coupled to a fundamental Higgs field. In 4 spacetime dimensions we explore the phase diagram of the…

High Energy Physics - Lattice · Physics 2011-11-03 Björn H. Wellegehausen

It is well known that the deconfinement transition temperature for $SU(N_c)$ gauge theory is almost independent of $N_c$, and the transition is first order for $N_c \ge 3$. In the real world ($N_c=3$, light quarks) it is a crossover located…

High Energy Physics - Lattice · Physics 2021-09-22 Thomas DeGrand

We study a generalization of the two-dimensional transverse-field Ising model, combining both ferromagnetic and antiferromagnetic two-body interactions, that hosts exact global and local Z2 gauge symmetries. Using exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-09-01 Kai-Hsin Wu , Zhi-Cheng Yang , Dmitry Green , Anders W. Sandvik , Claudio Chamon

We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical $Z_2$ gauge field. The gauge field mediates long-range attraction between fermions resulting in their confinement into…

Strongly Correlated Electrons · Physics 2020-03-31 Umberto Borla , Ruben Verresen , Fabian Grusdt , Sergej Moroz

We perform a numerical study of a spin-1/2 model with $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry in one dimension which demonstrates an interesting similarity to the physics of two-dimensional deconfined quantum critical points (DQCP).…

Strongly Correlated Electrons · Physics 2019-05-08 Brenden Roberts , Shenghan Jiang , Olexei I. Motrunich

We establish a scenario where fluctuations of new degrees of freedom at a quantum phase transition change the nature of a transition beyond the standard Landau-Ginzburg paradigm. To this end we study the quantum phase transition of gapless…

Strongly Correlated Electrons · Physics 2017-10-10 Laura Classen , Igor F. Herbut , Michael M. Scherer

The exploration of phase diagrams of strongly interacting gauge theories coupled to matter in lower dimensions promises the identification of exotic phases and possible new universality classes, and it facilitates a better understanding of…

Strongly Correlated Electrons · Physics 2022-08-17 Tomohiro Hashizume , Jad C. Halimeh , Philipp Hauke , Debasish Banerjee

A study of spinless matter fermions coupled to a constrained $\mathbb{Z}_{2}$ lattice gauge theory on a triangular ladder is presented. The triangular unit cell and the ladder geometry strongly modify the physics, as compared to previous…

Strongly Correlated Electrons · Physics 2022-06-22 Wolfram Brenig