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Previously published lattice results for QCD at $\mu_B\neq0$ are compared to analytic predictions for phase quenched QCD. We observe that the strength of the sign problem in QCD is linked directly to the position of the phase transition…

High Energy Physics - Lattice · Physics 2007-05-23 K. Splittorff

We consider the heavy-dense limit of QCD at finite fermion density in the canonical formulation and approximate it by a 3-state Potts model. In the strong coupling limit, the model is free of the sign problem. Away from the strong coupling,…

High Energy Physics - Lattice · Physics 2019-01-09 Andrei Alexandru , Georg Bergner , David Schaich , Urs Wenger

We investigate the QCD phase diagram for small values of baryon and strange quark chemical potentials from simulations at non-zero isospin chemical potential. Simulations at pure isospin chemical potential are not hindered by the sign…

High Energy Physics - Lattice · Physics 2019-11-28 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi , Sebastian Schmalzbauer

We present a new approach for Monte Carlo simulations of lattice quantum spin systems which is able to eliminate the negative sign problem. Its complexity is linear in the volume of the lattice. Its efficiency is tested on a simple…

High Energy Physics - Lattice · Physics 2008-02-03 A. Galli

We study the sign problem of the fermion determinant at nonzero baryon chemical potential. For this purpose we apply a simple model derived from Quantum Chromodynamics, in the limit of large chemical potential and mass. For SU(2) color,…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshimasa Hidaka

We consider QCD at strong coupling with scalar quarks coupled to a chemical potential. Performing the link integrals we present a diagrammatic representation of the path integral weight. It is based on mesonic and baryonic building blocks,…

High Energy Physics - Lattice · Physics 2018-01-17 Falk Bruckmann , Jacob Wellnhofer

Lattice formulation of Finite Baryon Density QCD is problematic from computer simulation point of view; it is well known that for light quark masses the reconstructed partition function fails to be positive in a wide region of parameter…

High Energy Physics - Lattice · Physics 2009-12-30 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo

Lattice QCD simulations at small lattice spacings and quark masses close to their physical values are technically challenging. In particular, the simulations can get trapped in the topological charge sectors of field space or may run into…

High Energy Physics - Lattice · Physics 2015-06-05 Martin Lüscher , Stefan Schaefer

Lattice QCD with staggered fermions can be formulated in dual variables to address the finite baryon density sign problem. In the past we have performed simulations in the strong coupling regime, including leading order gauge corrections.…

High Energy Physics - Lattice · Physics 2020-01-22 Jangho Kim , Marc Klegrewe , Wolfgang Unger

We clarify regions where the canonical approach works well at the finite temperature and density in the Nambu-Jona-Lasinio (NJL) and Polyakov-NJL (PNJL) models. The canonical approach is a useful method for avoiding the sign problem in…

High Energy Physics - Phenomenology · Physics 2020-09-02 Masayuki Wakayama , Seung-il Nam , Atsushi Hosaka

QCD at high chemical potential has interesting properties such as deconfinement of quarks. Two-color QCD, which enables numerical simulations on the lattice, constitutes a laboratory to study QCD at high chemical potential. Among the…

High Energy Physics - Lattice · Physics 2016-02-17 Tamer Boz , Pietro Giudice , Simon Hands , Jon-Ivar Skullerud , Anthony G. Williams

The sign problem is a widespread numerical hurdle preventing us from simulating the equilibrium behavior of various problems at the forefront of physics. Focusing on an important sub-class of such problems, bosonic $(2+1)$-dimensional…

Strongly Correlated Electrons · Physics 2020-10-09 Adam Smith , Omri Golan , Zohar Ringel

This paper is devoted to the study of QCD equation of state in external magnetic field and nonzero baryon density. Our study is carried out by means of lattice simulation with 2+1 dynamical staggered quarks at the physical masses. The…

High Energy Physics - Lattice · Physics 2024-05-28 N. Astrakhantsev , V. V. Braguta , A. Yu. Kotov , A. A. Roenko

We discuss the phase structure of quantum chromodynamics (QCD) with two colors and two flavors of light quarks. This is motivated by the increasing interest in the QCD phase diagram as follows: (1) The QCD critical point search has been…

High Energy Physics - Phenomenology · Physics 2010-06-09 Tomas Brauner , Kenji Fukushima , Yoshimasa Hidaka

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move. This is similar in spirit to the quenched approximation for zero…

High Energy Physics - Lattice · Physics 2009-10-28 Thomas C. Blum , James E. Hetrick , Doug Toussaint

Lattice QCD with staggered fermions at strong coupling has long been studied in a dual representation to circumvent the finite baryon density sign problem. Monte Carlo simulations at finite temperature and density require anisotropic…

High Energy Physics - Lattice · Physics 2018-11-09 Dennis Bollweg , Marc Klegrewe , Wolfgang Unger

We consider the possibility that color deconfinement and chiral symmetry restoration do not coincide in dense baryonic matter at low temperature. As a consequence, a state of massive "constituent" quarks would exist as an intermediate phase…

High Energy Physics - Phenomenology · Physics 2011-02-09 P. Castorina , R. V. Gavai , H. Satz

Lattice techniques are the most reliable ones to investigate non-perturbative aspects of quantum chromodynamics (QCD) such as its phase diagram in the temperature-baryon density plane. They are, however, well-known to be beset with a…

High Energy Physics - Lattice · Physics 2021-06-22 Rajiv V. Gavai

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

Finite density quantum field theories have evaded first principle Monte-Carlo simulations due to the notorious sign-problem. The partition function of such theories appears as the Fourier transform of the generalised density-of-states,…

High Energy Physics - Lattice · Physics 2015-09-02 K. Langfeld , B. Lucini , A. Rago , R. Pellegrini , L. Bongiovanni