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Related papers: Nuclear Transition in the Strong Coupling Limit

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QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

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

Monte Carlo methods cannot probe far into the QCD phase diagram with a real chemical potential, due to the famous sign problem. Complex Langevin simulations, using adaptive step-size scaling and gauge cooling, are suited for sampling path…

High Energy Physics - Lattice · Physics 2015-11-02 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Dénes Sexty , Ion-Olimpiu Stamatescu

We perform the quenched lattice QCD analysis on the nuclear force (baryon-baryon interactions). We employ $20^3\times 24$ lattice at $\beta=5.7$ ($a\simeq 0.19$ fm) with the standard gauge action and the Wilson quark action with the hopping…

High Energy Physics - Lattice · Physics 2009-11-11 T. T. Takahashi , T. Doi , H. Suganuma

Quantum field theories (QFTs) at finite densities of matter generically involve complex actions. Standard Monte-Carlo simulations based upon importance sampling, which have been producing quantitative first principle results in particle…

High Energy Physics - Lattice · Physics 2016-08-24 Christof Gattringer , Kurt Langfeld

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

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N_\tau in the thermodynamic limit. Analysing the series with Pad\'e approximants, we…

High Energy Physics - Lattice · Physics 2015-05-14 Jens Langelage , Owe Philipsen

The study of QCD phase diagram is very interesting, but we have never understood it well. This is because we face a problem at finite density in QCD. The problem is called sign problem. It causes a decrease of the calculation accuracy. This…

High Energy Physics - Lattice · Physics 2018-02-15 Shotaro Oka

The great majority of algorithms employed in the study of lattice field theory are based on Monte Carlo's importance sampling method, i.e. on probability interpretation of the Boltzmann weight. Unfortunately in many theories of interest one…

High Energy Physics - Lattice · Physics 2016-06-03 Lorenzo Bongiovanni

The correlation between baryon number and strangeness elucidates the nature of strongly interacting matter, such as that formed transiently in high-energy nuclear collisions. This diagnostic can be extracted theoretically from lattice QCD…

Nuclear Theory · Physics 2009-02-05 V. Koch , A. Majumder , J. Randrup

We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action suggests that at large chemical potentials its…

High Energy Physics - Lattice · Physics 2010-02-03 Barak Bringoltz

Sign problem in fermion quantum Monte Carlo (QMC) simulation appears to be an extremely hard problem. Traditional lore passing around for years tells people that when there is a sign problem, the average sign in QMC simulation approaches…

Strongly Correlated Electrons · Physics 2022-07-20 Xu Zhang , Gaopei Pan , Xiao Yan Xu , Zi Yang Meng

I review the Sign Problem hindering lattice QCD simulations of dense baryonic matter, focussing where possible on its physical relevance. The possibility of avoiding the Sign Problem via a duality transformation is also briefly considered.…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Hands

We investigate the QCD phase diagram in the strong coupling limit by using a newly developed auxiliary field Monte-Carlo (AFMC) method. Starting from an effective action in the leading order of the 1/g^2 and 1/d expansion with one species…

High Energy Physics - Lattice · Physics 2012-11-13 Akira Ohnishi , Terukazu Ichihara , Takashi Z. Nakano

We present results for lattice QCD with staggered fermions in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is achieved by…

High Energy Physics - Lattice · Physics 2011-11-08 Wolfgang Unger , Philippe de Forcrand

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

We perform calculations of the dependence of nuclear magnetic moments on quark masses and obtain limits on the variation of the ratio of quark mass and strong interaction scale (m_q/Lambda_{QCD}) from recent atomic clock experiments with…

Atomic Physics · Physics 2016-09-08 V. V. Flambaum

We study the QCD phase diagram in the strong coupling limit with fluctuation effects by using the auxiliary field Monte-Carlo method. We apply the chiral angle fixing technique in order to obtain finite chiral condensate in the chiral limit…

High Energy Physics - Lattice · Physics 2016-01-26 Terukazu Ichihara , Akira Ohnishi , Takashi Z. Nakano

Charting the phase diagram of Quantum Chromodynamics (QCD) at large density is a challenging task due to the complex action problem in lattice simulations. Through simulations at imaginary baryon chemical potential $\mu_B$ we observe that,…

High Energy Physics - Lattice · Physics 2025-11-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Piyush Kumar , Paolo Parotto , Attila Pásztor , Chik Him Wong

Recent studies based on non-perturbative lattice Monte-Carlo solutions of Quantum Chromodynamics, the theory of strong interactions, demonstrated that at high temperature there is a phase change from confined hadronic matter to a deconfined…

Nuclear Theory · Physics 2018-10-24 A. Andronic , P. Braun-Munzinger , K. Redlich , J. Stachel