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The weak coupling expansion is applied to the single flavour Schwinger model with Wilson fermions on a symmetric toroidal lattice of finite extent. We develop a new analytic method which permits the expression of the partition function as a…

High Energy Physics - Lattice · Physics 2007-05-23 R. Kenna , C. Pinto , J. C. Sexton

In the Wilson's lattice formulation of QCD, a fermionic Fock space of states can be explicitly built at each time slice using canonical creation and annihilation operators. The partition function $Z$ is then represented as the trace of the…

High Energy Physics - Lattice · Physics 2022-09-21 Sergio Caracciolo , Mauro Pastore

The problem of unphysical zero modes in lattice QCD with Wilson fermions can be solved in a clean way by including a mass term proportional to $i \psibar \gamma_5 \tau^3 \psi$ in the standard lattice theory with Nf=2 mass degenerate Wilson…

High Energy Physics - Lattice · Physics 2015-06-25 Roberto Frezzotti , Pietro Antonio Grassi , Stefan Sint , Peter Weisz

We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for…

Statistical Mechanics · Physics 2024-09-25 P. Bialas , Z. Burda , D. A. Johnston

We explore the continuum limit $a\rightarrow 0$ of meson correlation functions at finite temperature. In detail we analyze finite volume and lattice cut-off effects in view of possible consequences for continuum physics. We perform…

High Energy Physics - Lattice · Physics 2015-03-18 Anthony Francis , Frithjof Karsch

We show how the prescription of taking the absolute value of the fermion determinant in the integration measure of QCD at finite density, forgetting its phase, reproduces the correct thermodynamical limit. This prescription, which applies…

High Energy Physics - Lattice · Physics 2007-05-23 Vicente Azcoiti

The canonical partition functions $Z_n$ and the number distributions $P_n$ which are obervable in experiments, are related by a single parameter, the fugacities $\xi=\exp(\mu/T)$. With the charge parity invariance, $Z_n$ and $\xi$ can be…

High Energy Physics - Phenomenology · Physics 2018-01-16 Atsushi Nakamura , Keitaro Nagata

In this talk we give an overview of the 3D phase diagram of two-flavour non-zero temperature lattice QCD with twisted-mass Wilson fermions and a tree-level Symanzik-improved gauge action. We present a first feasibility study at maximal…

We present results of a simulation of 2 flavour QCD on a $16^3\times4$ lattice using p4-improved staggered fermions with bare quark mass $m/T=0.4$. Derivatives of the thermodynamic grand canonical partition function $Z(V,T,\mu_u,\mu_d)$…

High Energy Physics - Phenomenology · Physics 2016-08-16 S. Ejiri , C. R. Allton , M. Döring , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We use a modified directed path algorithm to study the finite temperature chiral singularities of two color lattice QCD with staggered fermions at strong coupling. Our lattice calculations are done at a fixed finite temperature in the…

High Energy Physics - Lattice · Physics 2008-11-26 Fu-Jiun Jiang

A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane…

Statistical Mechanics · Physics 2009-11-10 W. Janke , D. A. Johnston , R. Kenna

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri

We make several observations concerning the low quark mass region with Wilson fermions and how this is connected with the epsilon regime in the continuum. A transition from tiny cutoff effects to rather large discretization errors would…

High Energy Physics - Lattice · Physics 2009-02-27 Andrea Shindler

We study the expectation value of the phase of the fermion determinant for Wilson lattice fermions with chemical potential. We use quenched SU(3) ensembles and implement a recently proposed exact dimensional reduction of the fermion…

High Energy Physics - Lattice · Physics 2009-11-23 Julia Danzer , Christof Gattringer , Ludovit Liptak , Marina Marinkovic

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…

High Energy Physics - Lattice · Physics 2023-08-08 Reinhold Kaiser , Owe Philipsen

We study QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on the $16^3 8$ lattice. We determine the transition temperature at lattice spacings as small as $a \sim 0.12$ fm, and study string breaking…

We propose a method to find the QCD critical point at finite density calculating the canonical partition function ${\cal Z}_{\rm C} (T,N)$ by Monte-Carlo simulations of lattice QCD, and analyze data obtained by a simulation with two-flavor…

High Energy Physics - Lattice · Physics 2009-11-18 Shinji Ejiri

We present results of an ongoing study of two flavour QCD with Wilson fermions at finite temperature. We have used tree level Symanzik improvement in both the gauge and fermion part of the action. The phase diagram was previously determined…

High Energy Physics - Lattice · Physics 2009-10-31 F. Karsch , E. Laermann , M. Oevers , P. Schmidt

We report our recent studies on the finite density QCD obtained from lattice QCD simulation with clover-improved Wilson fermions of two flavor and RG-improved gauge action. We approach the subject from two paths, i.e., the imaginary and…

High Energy Physics - Lattice · Physics 2011-09-05 Atsushi Nakamura , Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Takuya Saito

The Yang-Lee zeros of the Q-state Potts model are investigated in 1, 2 and 3 dimensions. Analytical results derived from the transfer matrix for the one-dimensional model reveal a systematic behavior of the locus of zeros as a function of…

Statistical Mechanics · Physics 2009-10-31 Seung-Yeon Kim , Richard J. Creswick