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In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

高能物理 - 格点 · 物理学 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

The broad class of U(N) and SU(N) Polyakov loop models on the lattice are solved exactly in the combined large N, Nf limit, where N is a number of colors and Nf is a number of quark flavors, and in any dimension. In this 't Hooft-Veneziano…

高能物理 - 格点 · 物理学 2021-11-16 O. Borisenko , V. Chelnokov , S. Voloshyn

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

高能物理 - 格点 · 物理学 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We present results for phase structure of lattice QCD with two degenerate flavors ($N_f=2$) of Wilson quarks at finite temperature $T$ and small baryon chemical potential $\mu_B$. Using the imaginary chemical potential for which the fermion…

高能物理 - 格点 · 物理学 2008-11-26 Liang-Kai Wu , Xiang-Qian Luo , He-Sheng Chen

We review a method for numerical simulations of lattice gauge theories at non-zero baryonic chemical potential we recently proposed. We first report on a test of the method using a solvable model and then present results for the phase…

高能物理 - 格点 · 物理学 2007-05-23 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

In a progress toward searching for the QCD critical point, we study the finite density phase transition of $N_f = 4$ and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method…

高能物理 - 格点 · 物理学 2010-10-04 Anyi Li , Andrei Alexandru , Keh-Fei Liu , Xiangfei Meng

In 2+1 dimensions, QED becomes exactly solvable for all values of the fermion charge $e$ in the limit of many fermions $N_f\gg 1$. We present results for the free energy density at finite temperature $T$ to next-to-leading-order in large…

高能物理 - 理论 · 物理学 2019-10-30 Paul Romatschke , Matias Säppi

Towards the feasibility study of the electroweak baryogenesis in realistic technicolor scenario, we investigate the phase structure of (2+Nf)-flavor QCD, where the mass of two flavors is fixed to a small value and the others are heavy. For…

高能物理 - 格点 · 物理学 2013-06-11 Shinji Ejiri , Norikazu Yamada

We consider the problem of identifying the onset of the conformal window for QCD with $N_f$ massless flavors in the fundamental representation, and propose a new effective method to determine it from lattice simulations. This method is…

高能物理 - 格点 · 物理学 2026-04-09 Massimo D'Elia , Marco Nacci , Kevin Zambello

We consider gauge theories of non-Abelian $finite$ groups, and discuss the 1+1 dimensional lattice gauge theory of the permutation group $S_N$ as an illustrative example. The partition function at finite $N$ can be written explicitly in a…

高能物理 - 理论 · 物理学 2021-07-07 Nirmalya Brahma , Chethan Krishnan

We review our attempt at understanding the phase structure of lattice QCD with the Wilson fermion formulation at finite temperature, based on a spontaneous breakdown of parity-flavor symmetry. Numerical results demonstrating explicitly the…

高能物理 - 格点 · 物理学 2009-10-30 S. Aoki

We investigate the Gross-Neveu model on the lattice at finite temperature and chemical potential in the limit of an infinite number of fermion flavours. We check the universality of the continuum limit of staggered and overlap fermions at…

高能物理 - 格点 · 物理学 2008-11-26 Philippe de Forcrand , Urs Wenger

The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature $T_c$ leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry…

高能物理 - 格点 · 物理学 2023-08-08 Reinhold Kaiser , Owe Philipsen

We construct a lattice theory with one exact supersymmetry which consists of fields transforming in both the adjoint and fundamental representations of a U(Nc) gauge group. In addition to gluons and gluinos, the theory contains Nf flavors…

高能物理 - 格点 · 物理学 2018-04-18 Simon Catterall , Aarti Veernala

We study QCD with 2+1 flavors at nonzero temperature and nonzero chemical potential. We present preliminary results obtained from lattice calculations performed with an improved staggered fermions action (p4-action) on lattice with temporal…

高能物理 - 格点 · 物理学 2010-12-22 Rossella Falcone , Edwin Laermann , Maria Paola Lombardo

We review our results for lattice QCD at finite temperature and density from analytical and numerical calculations with Wilson fermions and overlap fermions.

高能物理 - 格点 · 物理学 2009-04-25 Xiang-Qian Luo , He-Sheng Chen , Xiao-Lu Yu

We introduce a new approach to analyze the phase diagram of QCD at finite chemical potential and temperature, test it in the Gross-Neveu model at finite baryon density, and apply it to the study of the chemical potential-temperature phase…

高能物理 - 格点 · 物理学 2008-11-26 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

We propose the $(3+1)$-dimensional $\mathbb{Z}_3$ lattice gauge theory coupled with the 2-flavor Wilson-Dirac fermion as a toy model for studying quantum chromodynamics (QCD) at nonzero density. We study its phase diagram in the space of…

高能物理 - 格点 · 物理学 2024-06-10 Yoshimasa Hidaka , Yuya Tanizaki , Arata Yamamoto

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…

高能物理 - 理论 · 物理学 2025-08-18 Marton Lajer , Robert M. Konik , Robert D. Pisarski , Alexei M. Tsvelik

We present results of a simulation of QCD on a 4x16^3 lattice with 2 continuum flavors of p4-improved staggered fermion with mass m/T=0.4. Derivatives of the thermodynamic grand potential with respect to quark chemical potential mu_q up to…

高能物理 - 格点 · 物理学 2011-05-05 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , C. Schmidt
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