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We apply a random matrix model to the study of the phase diagram of QCD with two colors, two flavors, and a small quark mass. Although the effects of temperature are only included schematically, this model reproduces most of the ground…

High Energy Physics - Phenomenology · Physics 2016-09-06 Benoit Vanderheyden , A. D. Jackson

At finite density, lattice simulations are hindered by the well-known sign problem: for finite chemical potentials, the QCD action becomes complex and the Boltzmann weight $e^{-S}$ cannot be interpreted as a probability distribution to…

High Energy Physics - Lattice · Physics 2018-11-28 Kevin Zambello , Francesco Di Renzo

Establishing the phase diagram of hydrogen is a major challenge for experimental and theoretical physics. Experiment alone cannot establish the atomic structure of solid hydrogen at high pressure, because hydrogen scatters X-rays only…

The severity of the sign problem in lattice QCD at nonzero baryon density is measured by the average phase of the fermion determinant. Motivated by the equivalence of chiral random matrix theory and QCD to leading order in the epsilon…

High Energy Physics - Lattice · Physics 2010-11-05 Jacques Bloch , Tilo Wettig

We explore the Quantum Chromodynamics (QCD) phase diagram's complexities, including quark deconfinement transitions, liquid-gas phase changes, and critical points, using the chiral mean-field (CMF) model that is able to capture all these…

Quantum Monte Carlo (QMC) methods are one of the most important tools for studying interacting quantum many-body systems. The vast majority of QMC calculations in interacting fermion systems require a constraint to control the sign problem.…

Strongly Correlated Electrons · Physics 2016-12-08 Mingpu Qin , Hao Shi , Shiwei Zhang

We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential $\mu$ and a diquark source…

High Energy Physics - Lattice · Physics 2020-02-19 Kei Iida , Etsuko Itou , Tong-Gyu Lee

Matter at intermediate baryon densities and low temperatures is notoriously hard to tackle theoretically. Whereas lattice methods cannot cover more than rather small densities, perturbative methods are only applicable at much higher…

High Energy Physics - Phenomenology · Physics 2018-12-03 Alexander Haber

In this note we summarize the results from a longer article on obtaining the QCD phase diagram as a function of the temperature and chemical potential at large Nc and large Nf in the weak and the strong coupling limits. The weak coupling…

High Energy Physics - Theory · Physics 2015-06-12 Timothy J. Hollowood , Joyce C. Myers

The status of lattice QCD investigations at high temperature is reviewed. After a short introduction into thermal QCD on the lattice we report on the present understanding of the phase diagram and the equation of state, in particular in…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Laermann , O. Philipsen

The QCD phase diagram is analyzed within chiral quark models with nonlocal separable interactions. For the case of two light flavors, we describe in detail the characteristics of the chiral phase transition in the T-mu plane, and analyze…

High Energy Physics - Phenomenology · Physics 2007-05-23 Daniel Gomez Dumm

I discuss different approaches to finite density lattice QCD. In particular, I focus on the structure of the phase diagram and discuss attempts to determine the location of the critical end-point. Recent results on the transiton line as…

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

The cold and dense regime of the QCD phase diagram is to this day inaccessible to first principle lattice calculations owing to the sign problem. Here we present progress of an ongoing effort to probe this particularly difficult regime…

High Energy Physics - Lattice · Physics 2015-11-04 Jonas Glesaaen , Mathias Neuman , Owe Philipsen

The critical point of the condensation transition for linear molecules adsorbed on square lattices, was studied by using an adaptation of the Histogram Reweighting technique. The results were obtained by means of grand canonical Monte Carlo…

Statistical Mechanics · Physics 2017-03-29 G. J. dos Santos , D. H. Linares , A. J. Ramirez-Pastor

The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

High Energy Physics - Lattice · Physics 2026-04-23 Shinji Ejiri , Masanari Koiida

We present a review of the studies related to establishing the QCD phase diagram through high energy nucleus-nucleus collisions. We particularly focus on the experimental results related to the formation of a quark-gluon phase, crossover…

Nuclear Experiment · Physics 2015-06-17 Bedangadas Mohanty

We investigate the temperature and density dependence of the color flux tube structure of dense two-color QCD with $N_f = 2$ Wilson fermions by using a lattice simulation. From Refs. [1] and [2], we have already clarified the rich phase…

High Energy Physics - Lattice · Physics 2021-11-29 Katsuya Ishiguro , Kei Iida , Etsuko Itou

In these lectures we provide an introduction to the phase structure of QCD. We begin with a brief discussion of QCD, the symmetries of QCD, and what we mean by a ``phase of QCD''. In the main part of the lectures we discuss the phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Schaefer

Path integrals describing quantum many-body systems can be calculated with Monte Carlo sampling techniques, but average quantities are often subject to signal-to-noise ratios that degrade exponentially with time. A phase-reweighting…

High Energy Physics - Lattice · Physics 2017-07-12 Michael L. Wagman , Martin J. Savage

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