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Related papers: Preweighting method in Monte-Carlo sampling with c…

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We study the phase diagram of quark matter and nuclear properties based on the strong coupling expansion of lattice QCD. Both of baryon and finite coupling correction are found to have effects to extend the hadron phase to a larger mu…

Nuclear Theory · Physics 2008-11-26 A. Ohnishi , N. Kawamoto , K. Miura , K. Tsubakihara , H. Maekawa

At nonzero quark chemical potential dynamical lattice simulations of QCD are hindered by the sign problem caused by the complex fermion determinant. The severity of the sign problem can be assessed by the average phase of the fermion…

High Energy Physics - Lattice · Physics 2011-05-27 Jacques Bloch , Tilo Wettig

The effect of the complex phase of the fermion determinant is a key question related to the sign problem in finite-density QCD. Recently it has been shown that ignoring the complex phase -- the phase quenching -- does not change physics in…

High Energy Physics - Lattice · Physics 2012-10-25 Masanori Hanada , Yoshinori Matsuo , Naoki Yamamoto

Complex Langevin simulations provide an alternative to sample path integrals with complex weights and therefore are suited to determine the phase diagram of QCD from first principles. We use our proposed method of Dynamic Stabilisation (DS)…

High Energy Physics - Lattice · Physics 2016-07-20 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Dénes Sexty

We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an analytic formulation based on…

High Energy Physics - Lattice · Physics 2010-11-05 Akira Ohnishi , Kohtaroh Miura , Takashi Z. Nakano , Noboru Kawamoto

Strong coupling lattice QCD in the dual representation allows to study the full $\mu$-$T$ phase diagram, due to the mildness of the finite density sign problem. Such simulations have been performed in the chiral limit, both at finite $N_t$…

High Energy Physics - Lattice · Physics 2016-11-29 Jangho Kim , Wolfgang Unger

We perform the first study of lattice QCD with overlap fermions at finite temperature $T$ and chemical potential $\mu$. We start from the Taylor expanded overlap fermion action, and derive in the strong coupling limit the effective free…

High Energy Physics - Lattice · Physics 2008-11-26 Xiao-Lu Yu , Xiang-Qian Luo

We formulate and characterize a new constraint for Auxiliary Field Quantum Monte Carlo (AFQMC) applicable for general fermionic systems, which allows for the accumulation of phase in the random walk but disallows walkers with a magnitude of…

Chemical Physics · Physics 2023-06-16 John L. Weber , Hung Vuong , Richard A. Friesner , David R. Reichman

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,…

High Energy Physics - Lattice · Physics 2017-04-05 Owe Philipsen

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

Using Wilson fermions, we study SU(2) lattice QCD with the chemical potential at $\beta=1.6$. The ratio of fermion determinants is evaluated at each Metropolis link update step. We calculate the baryon number density, the Polyakov loops and…

High Energy Physics - Lattice · Physics 2009-10-31 S. Muroya , A. Nakamura , C. Nonaka

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…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yusuke Nishida

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

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…

High Energy Physics - Lattice · Physics 2013-01-10 Axel Maas , Lorenz von Smekal , Björn Wellegehausen , Andreas Wipf

We apply strong-coupling perturbation theory to the QCD lattice Hamiltonian. We begin with naive, nearest-neighbor fermions and subsequently break the doubling symmetry with next-nearest-neighbor terms. The effective Hamiltonian is that of…

High Energy Physics - Lattice · Physics 2009-11-07 B. Bringoltz , B. Svetitsky

The phase diagram at zero temperature of a lattice SU(2) scalar-fermion model in (2+1) dimensions is studied numerically and with Mean-Field methods. Special attention is devoted to the strong coupling regime. We have developed a new method…

Condensed Matter · Physics 2010-03-19 J. L. Alonso , Ph. Boucaud , V. Martin-Mayor , A. J. van der Sijs

The sign problem of QCD prevents standard lattice simulations to determine the phase diagram of strong interactions with a finite chemical potential directly. Complex Langevin simulations provide an alternative method to sample path…

High Energy Physics - Lattice · Physics 2015-06-09 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Dénes Sexty , Ion-Olimpiu Stamatescu

Approaches to finite baryon density lattice QCD usually suffer from uncontrolled systematic uncertainties in addition to the well-known sign problem. We test a method - sign reweighting - that works directly at finite chemical potential and…

High Energy Physics - Lattice · Physics 2021-12-09 Attila Pasztor , Szabolcs Borsanyi , Zoltan Fodor , Kornel Kapas , Sandor D. Katz , Matteo Giordano , Daniel Nogradi , Chik Him Wong

There has been much recent progress in the understanding and reduction of the computational cost of the Hybrid Monte Carlo algorithm for Lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this…

High Energy Physics - Lattice · Physics 2008-11-26 M. A. Clark , A. D. Kennedy

The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an important additional tuning parameter in the…

Strongly Correlated Electrons · Physics 2010-10-04 Piers Coleman , Andriy H. Nevidomskyy