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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…

高能物理 - 格点 · 物理学 2013-01-10 Axel Maas , Lorenz von Smekal , Björn Wellegehausen , Andreas Wipf

The QCD phase diagram at densities relevant to neutron stars remains elusive, mainly due to the fermion-sign problem. At the same time, a plethora of possible phases has been predicted in models. Meanwhile $G_2$-QCD, for which the $SU(3)$…

高能物理 - 格点 · 物理学 2014-03-26 Björn H. Wellegehausen , Axel Maas , Andreas Wipf , Lorenz von Smekal

$G_2$-QCD, in which the exceptional Lie group $G_2$ replaces the $SU(3)$ gauge group of QCD, does not suffer from a fermion sign problem. It can therefore be simulated also at comparatively low temperatures and high densities on the…

高能物理 - 格点 · 物理学 2015-01-28 Bjoern H. Wellegehausen , Lorenz von Smekal

QCD with a finite baryon chemical potential, despite its importance, is not well understood because the standard lattice QCD simulation is not applicable due to the sign problem. Although sign-free QCD-like theories have been studied…

高能物理 - 唯象学 · 物理学 2011-10-26 Masanori Hanada

We use 2-color QCD as a model to study the effects of simultaneous presence of chemical potentials for isospin charge, $\mu_I$, and for baryon number, $\mu_B$. We determine the phase diagrams for 2 and 4 flavor theories using the method of…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Splittorff , D. T. Son , M. A. Stephanov

The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant,…

高能物理 - 格点 · 物理学 2017-04-05 Owe Philipsen

We study QCD-like theories with pseudoreal fermions at finite baryon density. Such theories include two-color QCD with quarks in the fundamental representation of the color group as well as any-color QCD with quarks in the adjoint color…

高能物理 - 唯象学 · 物理学 2009-10-31 J. B. Kogut , M. A. Stephanov , D. Toublan , J. J. M. Verbaarschot , A. Zhitnitsky

One way of avoiding the complex action problem in lattice QCD at non-zero density is to simulate QCD-like theories with a real action, such as two-colour QCD. The symmetries of two-colour QCD with quarks in the fundamental and in the…

高能物理 - 格点 · 物理学 2007-05-23 Jonivar Skullerud

Due to the fermion sign problem, standard lattice Monte-Carlo method for QCD fail at small temperatures and high baryon densities. $G_2$-QCD, QCD with the gauge group $SU(3)$ replaced by the exceptional Lie group $G_2$, can be simulated…

高能物理 - 格点 · 物理学 2013-11-05 Lorenz von Smekal , Bjoern H. Wellegehausen , Axel Maas , Andreas Wipf

The study of QCD at finite baryon density is severely hampered by the so-called fermion sign problem. As a result, we have no known first principles approach to study nuclear matter, or neutron stars from QCD. On the surface, the large Nc…

高能物理 - 唯象学 · 物理学 2011-10-27 Aleksey Cherman , Brian C. Tiburzi

The behavior of QCD at high baryon density and low temperature is crucial to understanding the properties of neutron stars and gravitational waves emitted during their mergers. In this paper we study small systems of baryons in periodic…

核理论 · 物理学 2018-09-05 Stefano Gandolfi , Joseph Carlson , Alessandro Roggero , Joel Lynn , Sanjay Reddy

We discuss the interplay between two first-principles calculations of QCD at high density: perturbative results in the weak-coupling regime and the recent lattice-QCD result at finite isospin density. By comparing these two results, we…

高能物理 - 唯象学 · 物理学 2024-09-09 Yuki Fujimoto

QCD at finite isospin chemical potential mu_I has no fermion sign problem and can be studied on the lattice. We solve this theory analytically in two limits: at low mu_I where chiral perturbation theory is applicable, and at asymptotically…

高能物理 - 唯象学 · 物理学 2007-05-23 D. T. Son , M. A. Stephanov

The infamous sign problem makes it impossible to probe dense (baryon density $\mu_B>0$) QCD at temperatures near or below the deconfinement threshold. As a workaround, one can explore QCD-like theories such as two-colour QCD (QC2D) which…

高能物理 - 格点 · 物理学 2023-01-11 Dale Lawlor , Simon Hands , Seyong Kim , Jon-Ivar Skullerud

Quantum chromodynamics (QCD) at finite temperature (T), baryon chemical potential (\muB) and isospin chemical potential (\muI) is studied in the strong coupling limit on a lattice with staggered fermions. With the use of large dimensional…

高能物理 - 唯象学 · 物理学 2009-11-10 Yusuke Nishida

We study the cold and dense regime in the phase diagram of two-color QCD with heavy quarks within a three-dimensional effective theory for Polyakov loops. This theory is derived from two-color QCD in a combined strong-coupling and hopping…

高能物理 - 格点 · 物理学 2015-11-11 Philipp Scior , Lorenz von Smekal

QCD with a finite baryon chemical potential, despite its importance, is not well understood because the standard lattice QCD simulation is not applicable due to the sign problem. Although QCD-like theories which do not suffer from the sign…

高能物理 - 格点 · 物理学 2012-09-26 Masanori Hanada

We discuss a few aspects of the phase diagram of two color lattice QCD: we investigate the long distance screening analyzing the behavior of the interquark potential at large distances; we present a first set of results for vector mesons…

高能物理 - 格点 · 物理学 2017-08-23 B. Alles , M. D'Elia , M. -P. Lombardo , M. Pepe

This is a pedagogical review of the lattice study of finite density QCD, which is intended to provide the minimum necessary contents, so that the paper may be used as the first reading for a newcomer to the field and also for those working…

高能物理 - 格点 · 物理学 2009-11-10 Shin Muroya , Atsushi Nakamura , Chiho Nonaka , Tetsuya Takaishi

A quasi-particle model is presented which describes QCD lattice results for the 0, 2 and 4 quark-flavor equation of state. The results are mapped to finite baryo-chemical potentials. As an application of the model we make a prediction of…

核理论 · 物理学 2008-11-26 B. Kämpfer , A. Peshier , G. Soff
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