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We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states with conventional chiral symmetry breaking have…

High Energy Physics - Phenomenology · Physics 2008-11-26 Krishna Rajagopal

This is an introduction to the use of nonperturbative flow equations in strong interaction physics at nonzero temperature and baryon density. We investigate the QCD phase diagram as a function of temperature, chemical potential for baryon…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

A brief review is given of the sign problem in finite density lattice QCD and various attempts to overcome it. To date there is still no solution to this problem which would work for realistic QCD. The main focus then is on the deconfined…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen

We review recent results on QCD at finite temperature. In particular we will discuss the chiral phase transition in two flavour QCD and new results on the excitation spectrum in the plasma phase of QCD.

High Energy Physics - Lattice · Physics 2009-10-22 Frithjof Karsch

We study lattice two-color QCD (QC$_2$D) with two flavors of staggered fermions at imaginary and real quark chemical potential $\mu_q$ and $T>T_c$. We employ various methods of extrapolation of the quark number density from imaginary to…

High Energy Physics - Lattice · Physics 2024-12-16 A. Begun , V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. Nakamura , R. N. Rogalyov

Critical properties of QCD and the chiral condensate at finite density are analytically studied on an anisotropic lattice in the approximation SU(N) \simeq Z(N). Asymptotic behavior of the partition function and its continuum limit are…

High Energy Physics - Lattice · Physics 2009-10-31 L. A. Averchenkova , V. K. Petrov , G. M. Zinovjev

We revisit the question of whether or not one can perform reliable semiclassical QCD computations at zero temperature. We study correlation functions with no perturbative contributions, and organize the problem by means of the operator…

High Energy Physics - Theory · Physics 2014-11-20 Michael Dine , Guido Festuccia , Lawrence Pack , Weitao Wu

We investigate the properties of QCD at finite isospin chemical potential at zero and non-zero temperatures. This theory is not affected by the sign problem and can be simulated using Monte-Carlo techniques. With increasing isospin chemical…

High Energy Physics - Lattice · Physics 2018-04-18 Bastian B. Brandt , Gergely Endrodi , Sebastian Schmalzbauer

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

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 present results on the curvature of the critical line of QCD with 2+1 HISQ fermions at nonzero temperature and quark density obtained by analytic continuation from imaginary chemical potentials. Monte Carlo simulations are performed by…

High Energy Physics - Lattice · Physics 2014-10-10 Paolo Cea , Leonardo Cosmai , Alessandro Papa

Monte Carlo simulations of finite density systems are often plagued by the complex action problem. We point out that there exists certain non-commutativity in the zero chemical potential limit and the thermodynamic limit when one tries to…

High Energy Physics - Lattice · Physics 2009-11-10 Jan Ambjorn , Konstantinos N. Anagnostopoulos , Jun Nishimura , Jacobus J. M. Verbaarschot

We study properties of two-color QCD at imaginary chemical potential ($\mu$) from the viewpoint of the Roberge-Weiss (RW) periodicity, the charge conjugation and the pseudo-reality. At $\mu=\pm i\pi T/2$, where $T$ is temperature, the…

High Energy Physics - Phenomenology · Physics 2013-01-29 Kouji Kashiwa , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We consider a random matrix model which describes the competition between chiral symmetry breaking and the formation of quark Cooper pairs in QCD at finite density. We study the evolution of the phase structure in temperature and chemical…

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

We consider random matrix models for the thermodynamic competition between chiral symmetry breaking and diquark condensation in QCD at finite temperature and finite baryon density. The models produce mean field phase diagrams whose topology…

High Energy Physics - Phenomenology · Physics 2009-11-11 Benoit Vanderheyden , A. D. Jackson

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen

We study the competence between chiral symmetry restoration and two flavor color superconductivity (2SC) using a relativistic quark model with covariant nonlocal interactions. We consider two different nonlocal regulators: a Gaussian…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. S. Duhau , A. G. Grunfeld , N. N. Scoccola

We investigate the severity of the sign problem in a random matrix model for QCD at finite temperature T and baryon chemical potential mu. We obtain analytic expression for the average phase factor -- the measure of the severity of the sign…

High Energy Physics - Lattice · Physics 2009-01-09 J. Han , M. A. Stephanov

We employ a new self-consistent mean field approximation of NJL model, which introduces a free parameter $\alpha$ ($\alpha$ reflects the weight of different interaction channels), to study the effects of the chiral chemical potential…

Nuclear Theory · Physics 2019-11-20 Li-Kang Yang , Xiaofeng Luo , Hong-Shi Zong

We investigate the phase structure of the (3+1)-dimensional strong coupling two-color QCD at zero temperature ($T=0$) with finite chemical potential using the tensor renormalization group method. The chiral and diquark condensates and the…

High Energy Physics - Lattice · Physics 2026-02-13 Yuto Sugimoto , Shinichiro Akiyama , Yoshinobu Kuramashi
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