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We present recent results on thermodynamics of QCD with almost physical light quark masses and a physical strange quark mass value. These calculations have been performed with an improved staggerd action especially designed for finite…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Schmidt

Combining strong coupling and hopping expansion one can derive a dimensionally reduced effective theory of lattice QCD. This theory has a reduced sign problem, is amenable to analytic evaluation and was successfully used to study the cold…

High Energy Physics - Lattice · Physics 2019-12-05 Owe Philipsen , Jonas Scheunert

We explore the QCD phase diagram at finite density with four-flavor staggered fermions using the complex Langevin method, which is a promising approach to overcome the sign problem. In our previous work on an $8^3 \times 16$ lattice at…

High Energy Physics - Lattice · Physics 2019-12-03 Shoichiro Tsutsui , Yuta Ito , Hideo Matsufuru , Jun Nishimura , Shinji Shimasaki , Asato Tsuchiya

We determine the nature of the QCD transition using lattice calculations for physical quark masses. Susceptibilities are extrapolated to vanishing lattice spacing for three physical volumes, the smallest and largest of which differ by a…

High Energy Physics - Lattice · Physics 2009-07-09 Y. Aoki , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

We have studied lattice QCD with an additional, irrelevant 4-fermion interaction having a U(1)xU(1) chiral symmetry, at finite temperatures. Adding this 4-fermion term allowed us to work at zero quark mass, which would have otherwise been…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , J. -F. Lagae , D. K. Sinclair

Numerical studies of the QCD phase diagram at finite baryon chemical potential $\mu_B$ on the lattice are impeded by a sign problem. Effective Polyakov loop theories derived from lattice QCD via combined strong-coupling and hopping…

High Energy Physics - Lattice · Physics 2025-09-04 Christoph Konrad , Owe Philipsen

We investigate the critical end point of QCD with two flavours of light dynamical quarks at finite lattice cutoff a=1/4T using a Taylor expansion of the baryon number susceptibility. We find a strong volume dependence of the position of the…

High Energy Physics - Lattice · Physics 2010-04-06 R. V. Gavai , Sourendu Gupta

We investigate the Euclidean path integral formulation of QCD at finite baryon density and temperature. We show that the partition function Z can be written as a difference between two sums Z+ and Z-, each of which defines a partition…

High Energy Physics - Theory · Physics 2010-02-05 Stephen D. H. Hsu , David Reeb

Lattice QCD at finite density suffers from a severe sign problem, which has so far prohibited simulations of the cold and dense regime. Here we study the onset of nuclear matter employing a three-dimensional effective theory derived by…

High Energy Physics - Lattice · Physics 2013-03-27 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

High Energy Physics - Lattice · Physics 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

QCD at fixed baryon number can be formulated in terms of transfer matrices explicitly defined in the canonical sectors. In the heavy-dense limit, the fermionic contributions to the canonical partition functions in terms of Polyakov loops…

High Energy Physics - Lattice · Physics 2021-10-29 Patrick Bühlmann , Urs Wenger

We present a novel construction of the QCD equation of state (EoS) at finite baryon density. Our work combines a recently proposed resummation scheme for lattice QCD results with the universal critical behavior at the QCD critical point.…

Monte Carlo studies of QCD at finite density suffer from the sign problem, which becomes easily uncontrollable as the chemical potential $\mu$ is increased even for a moderate lattice size. In this work we make an attempt to approach the…

High Energy Physics - Lattice · Physics 2018-12-06 Yuta Ito , Hideo Matsufuru , Jun Nishimura , Shinji Shimasaki , Asato Tsuchiya , Shoichiro Tsutsui

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann

Using 4 flavors of staggered fermions at infinite gauge coupling, we compare various analytic results for the hadron spectrum with exact Monte Carlo simulations. Agreement with Ref. \cite{Martin_etal} is very good, at the level of a few…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Seyong Kim

The present paper concludes our investigations on the QCD cross-over transition temperatures with 2+1 staggered flavours and one-link stout improvement. We extend our previous two studies [Phys. Lett. B643 (2006) 46, JHEP 0906:088 (2009)]…

High Energy Physics - Lattice · Physics 2014-11-21 Szabolcs Borsanyi , Zoltan Fodor , Christian Hoelbling , Sandor D Katz , Stefan Krieg , Claudia Ratti , Kalman K. Szabo

Using an effective strongly coupled lattice QCD Hamiltonian and Wilson fermions we calculate the equation of state for cold and dense quark matter by constructing an ansatz which exactly diagonalizes the Hamiltonian to second order in field…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yasuo Umino

Using a unified hadron-quark effective model for the QCD equation of state, this paper studies the phase structure of strongly interacting matter in a wide range of temperature and baryonchemical potential. At small potentials the model…

High Energy Physics - Phenomenology · Physics 2013-08-22 Philip Rau , Jan Steinheimer , Stefan Schramm

I report on the current status of QCD phase diagram at vanishing baryon density. I focus on the QCD phase diagram with three degenerate quark flavor using Highly Improved Staggered Quarks on $N_{\tau}=6$ lattices. No evidence of a first…

High Energy Physics - Lattice · Physics 2015-06-15 Heng-Tong Ding

The lattice simulations of $QC_2D$ with two flavors of staggered fermions and non-zero quark chemical potential $\mu_q$ have been performed. Dependencies of the Polyakov loop, chiral condensate and baryon number density on $\mu_q$ were…

High Energy Physics - Lattice · Physics 2016-02-17 V. V. Braguta , A. Yu. Kotov , A. A. Nikolaev , S. N. Valgushev