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We study a lattice model of interacting Dirac fermions in $(2+1)$ dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a {\it continuous} quantum phase transition from the weakly…

Strongly Correlated Electrons · Physics 2016-12-28 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

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

Results are presented from numerical simulations of the flat-space nonlinear Maxwell-Klein-Gordon-Dirac equations. The introduction of a boson-fermion interaction allows a scalar vortex to act as a harmonic trap that can confine massive…

High Energy Physics - Phenomenology · Physics 2025-12-10 Ethan P. Honda

The fermion-sign problem at finite density is a persisting challenge for Monte-Carlo simulations. Theories that do not have a sign problem can provide valuable guidance and insight for physically more relevant ones that do. Replacing the…

High Energy Physics - Lattice · Physics 2013-01-10 Axel Maas , Lorenz von Smekal , Björn Wellegehausen , Andreas Wipf

We study quark and lepton mass matrix textures in a model containing an additional $U(1)_X$ gauge symmetry with origins in string compactification. The $U(1)_X$ symmetry is broken near the string scale, and we assume that the anomalies are…

High Energy Physics - Phenomenology · Physics 2016-08-24 Merle Michael Robinson , Jacek Ziabicki

Fermion mass generation in the strongly coupled U(1) lattice gauge theory with fermion and scalar fields of equal charge is investigated by means of numerical simulation with dynamical fermions. Chiral symmetry of this model is broken by…

High Energy Physics - Lattice · Physics 2009-10-30 W. Franzki , J. Jersak

We discuss the dynamics in finite density medium including a heavy impurity particle (hadron or quark) with a heavy flavor, charm and bottom, at zero temperature. As a system, we consider a $\bar{D}$ ($B$) meson embedded in nuclear matter…

High Energy Physics - Phenomenology · Physics 2019-08-07 S. Yasui , K. Sudoh

We summarise status and recent results of the European Twisted Mass collaboration (ETMC). The collaboration has generated gauge configurations for three different values of the lattice spacing smaller or equal 0.1 fm and values of the…

High Energy Physics - Lattice · Physics 2008-11-26 Carsten Urbach

We solve two-dimensional large-N QCD in the presence of a nonzero baryon number B, and for arbitrary quark mass m and volume L. We fully treat the dynamics of the gluonic zero modes and check how this affects results from previous studies…

High Energy Physics - Lattice · Physics 2009-06-19 Barak Bringoltz

We analyze the behavior of quarks coupled to a $SU(N_c)$ gauge theory in 1+1 dimensions. In the limit of strong coupling, the model reduces to a Wess-Zumino-Novikov-Witten (WZNW) model. At nonzero density, excitations near the Fermi surface…

High Energy Physics - Theory · Physics 2025-08-18 Marton Lajer , Robert M. Konik , Robert D. Pisarski , Alexei M. Tsvelik

We delineate, as an analog of two-flavor dense quark matter, the phase structure of a many-body mixture of atomic bosons and fermions in two internal states with a tunable boson-fermion attraction. The bosons b correspond to diquarks, and…

Quantum Gases · Physics 2014-11-18 Kenji Maeda , Gordon Baym , Tetsuo Hatsuda

We calculate the normal mass density of a paired Fermi gas at unitarity. The dominant contribution near the superfluid transition is from fermionic quasiparticle excitations, and is thus sensitive to the pairing gap. A comparison with the…

Quantum Gases · Physics 2013-10-25 Gordon Baym , C. J. Pethick

Despite intense experimental and theoretical research, the QCD phase diagram at finite baryon density remains to a large extent unexplored. From the theoretical side, the obvious non-perturbative approach is lattice QCD simulations, which…

The primary work presented in this paper focuses on the calculation of density-density dynamical correlations in an attractive two dimensional Fermi gas in several physically interesting regimes, including the strongly correlated BEC-BCS…

Quantum Gases · Physics 2019-08-27 Ettore Vitali , Jimmy Gonzalez Nunez

The two-flavor color superconductivity is examined over a wide range of baryon density with a single model. To study the structural change of Cooper pairs, quark correlation in the color superconductor is calculated both in the momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Abuki , T. Hatsuda , K. Itakura

In this paper the massless NJL model extended by the diquark interaction channel is considered. We study its phase structure at zero temperature and in the presence of baryon $\mu_B$, isospin $\mu_I$, chiral $\mu_{5}$ and chiral isospin…

High Energy Physics - Phenomenology · Physics 2023-10-13 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

The superfluidity and pairing phenomena in ultracold atomic Fermi gases have been of great interest in recent years, with multiple tunable parameters. Here we study the BCS-BEC crossover behavior of balanced two-component Fermi gases in a…

Quantum Gases · Physics 2020-05-20 Jibiao Wang , Leifeng Zhang , Yi Yu , Chaohong Lee , Qijin Chen

We investigate high density state of SU(2) QCD by using Lattice QCD simulation with Wilson fermions. The ratio of fermion determinants is evaluated at each step of the Metropol is link update by Woodbury formula. At $\beta=0.7$, and $\kappa…

Nuclear Theory · Physics 2007-05-23 S. Muroya , A. Nakamura , C. Nonaka

We report on Monte Carlo simulations focused on elucidating the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional…

High Energy Physics - Lattice · Physics 2012-11-16 Simon Catterall , Aarti Veernala

We present a theory of a two-component atomic Fermi gas with tunable attractive contact interactions on a spherical shell going through the Bardeen-Cooper-Schrieffer (BCS) - Bose Einstein condensation (BEC) crossover, inspired by the…

Quantum Gases · Physics 2022-04-01 Yan He , Hao Guo , Chih-Chun Chien