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We review theoretical approaches to explore the phase diagram of nuclear and quark matter at high baryon density. We first look over the basic properties of quantum chromodynamics (QCD) and address how to describe various states of QCD…

High Energy Physics - Phenomenology · Physics 2013-04-03 Kenji Fukushima , Chihiro Sasaki

The chiral phase transition at finite temperature T and/or chemical potential $\mu$ is studied using the QCD-like theory with a variational approach. The ``QCD-like theory'' means the improved ladder approximation with an infrared cutoff in…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Kiriyama , M. Maruyama , F. Takagi

We investigate the interplay between the chiral and diquark condensates on the basis of the Ginzburg-Landau potential with QCD symmetry. We demonstrate that the axial anomaly drives a new critical point at low temperature in the QCD phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Yamamoto , T. Hatsuda , M. Tachibana , G. Baym

The universal behaviour of superconductors near the phase transition is described by the three-dimensional field theory of scalar quantum electrodynamics. We approximately solve the model with the help of non-perturbative flow equations. A…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Bergerhoff , F. Freire , D. Litim , S. Lola , C. Wetterich

Continuous phase transitions exhibit richer critical phenomena on the surface than in the bulk, because distinct surface universality classes can be realized at the same bulk critical point by tuning the surface interactions. The…

Strongly Correlated Electrons · Physics 2023-07-12 Chengxiang Ding , Wenjing Zhu , Wenan Guo , Long Zhang

We present a theory describing the superconducting (SC) interaction of Dirac electrons in a quasi-two-dimensional system consisting of a stack of N planes. The occurrence of a SC phase is investigated both at T = 0 and T 5 0. At T = 0, we…

Strongly Correlated Electrons · Physics 2020-10-01 E. C. Marino , Lizardo H. C. M. Nunes

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

We describe the emergence of color superfluidity in ultra-cold fermions induced by color-orbit and color-flip fields that transform a conventional singlet-pairing s-wave system into an unconventional non-s-wave superfluid with quintuplet…

Quantum Gases · Physics 2018-11-20 Doga Murat Kurkcuoglu , C. A. R. Sá de Melo

Some recent developments concerning the role of strange quark matter for astrophysical systems and the QCD phase transition in the early universe are addressed. Causality constraints of the soft nuclear equation of state as extracted from…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Tillmann Boeckel , Matthias Hempel , Irina Sagert , Giuseppe Pagliara , Basil Sa'd , Jurgen Schaffner-Bielich

We use a Landau theory and the epsilon expansion to study the superfluid phase transition of two-color QCD at nonzero temperature, T, and baryonic chemical potential, mu. At low T, and for N_f flavors of massless quarks, the global SU(N_f)…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Wirstam , J. T. Lenaghan , K. Splittorff

On the basis of the NJL model as an effective theory of QCD and analogies with condensed matter physics, we extract simple physical pictures of the chiral phase transition at finite temperature $T$ and/or chemical potential $\mu$ and…

High Energy Physics - Phenomenology · Physics 2011-04-15 Teiji Kunihiro

It is suggested that the hadronization of the quark-gluon plasma is a first-order phase transition described by a critical curve in the temperature-(quark) density plane which terminates in a critical point. Such a critical curve is derived…

High Energy Physics - Phenomenology · Physics 2013-11-26 M. Apostol

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…

High Energy Physics - Lattice · Physics 2023-01-11 Dale Lawlor , Simon Hands , Seyong Kim , Jon-Ivar Skullerud

The supercritical region is often described as uniform with no definite transitions. The distinct behaviors of the matter therein (as liquid-like and gas-like), however, suggest ``supercritical boundaries". Here, we provide a mathematical…

Statistical Mechanics · Physics 2023-11-21 Xiao-Yu Ouyang , Qi-Jun Ye , Xin-Zheng Li

In nucleus-nucleus collisions at ultra-relativistic energies matter is formed with initial energy density significantly exceeding the critical energy density for the transition from hadronic to partonic matter. We will review the…

Nuclear Experiment · Physics 2009-11-10 P. Braun-Munzinger

We study the timely issue of charge order checkerboard patterns observed in a variety of cuprate superconductors. We suggest a minimal model in which strong quantum fluctuations in the vicinity of a single antiferromagnetic quantum critical…

Strongly Correlated Electrons · Physics 2014-06-19 H. Meier , C. Pépin , M. Einenkel , K. B. Efetov

We derive an order-parameter field theory for a quantum phase transition between a disordered metal and an exotic (non-s-wave) superconductor. Mode coupling effects between the order parameter and other fermionic soft modes lead to an…

Superconductivity · Physics 2009-11-07 Rastko Sknepnek , Thomas Vojta , Rajesh Narayanan

We present preliminary results about the critical line of QCD with two degenerate staggered quarks at nonzero temperature and chemical potential, obtained by the method of analytic continuation. As in our previous studies with different…

High Energy Physics - Lattice · Physics 2011-10-19 P. Cea , L. Cosmai , M. D'Elia , A. Papa , F. Sanfilippo

We discuss the phase diagram of QCD in the presence of a strong background magnetic field, providing numerical evidence, based on lattice simulations of QCD with $2+1$ flavours and physical quark masses, that the QCD crossover turns into a…

High Energy Physics - Lattice · Physics 2022-11-23 Massimo D'Elia , Lorenzo Maio , Francesco Sanfilippo , Alfredo Stanzione

We employ a bispinor gap equation to study superfluidity at nonzero chemical potential: mu .neq. 0, in two- and three-colour QCD. The two-colour theory, QC2D, is an excellent exemplar: the order of truncation of the quark-quark scattering…

Nuclear Theory · Physics 2009-01-14 J. C. R. Bloch , C. D. Roberts , S. M. Schmidt