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I give an elementary introduction to the study of gauge theories coupled to fermions with many degrees of freedom. Besides their intrinsic interest, these theories are candidates for nonperturbative extensions of the Higgs sector of the…

High Energy Physics - Lattice · Physics 2015-05-20 Thomas DeGrand

I review our current understanding of the properties of strongly interacting matter at high temperatures, based upon numerical calculations in lattice QCD. I discuss the chiral and deconfining aspects of the QCD transition, the equation of…

High Energy Physics - Lattice · Physics 2015-06-04 P. Petreczky

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

We review efforts to study, using the methods of lattice field theory, the phenomenon of diquark condensation via BCS pairing at a Fermi surface, which has been proposed as a mechanism for color superconductivity in dense quark matter. The…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hands , Susan Morrison

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

I give a survey of recent progress in our understanding of QCD at high density and temperature. I pay particular attention to color superconductivity, applications of lattice gauge theory at nonzero density as well as high temperature,…

High Energy Physics - Phenomenology · Physics 2015-06-25 Mark G. Alford

I review recent developments in finite temperature lattice QCD which are useful for the study of heavy-ion collisions. I pay particular attention to studies of the equation of state and the light they throw on conformal symmetry and the…

Nuclear Theory · Physics 2008-11-26 Sourendu Gupta

Lattice techniques are the most reliable ones to investigate non-perturbative aspects of quantum chromodynamics (QCD) such as its phase diagram in the temperature-baryon density plane. They are, however, well-known to be beset with a…

High Energy Physics - Lattice · Physics 2021-06-22 Rajiv V. Gavai

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 critical sector of strong interactions at high temperatures is explored in the frame of two complementary approaches: Statistical Bootstrap for the hadronic phase and Lattice QCD for the Quark-Gluon partition function. A region of…

High Energy Physics - Phenomenology · Physics 2010-04-05 N. G. Antoniou , F. K. Diakonos , A. S. Kapoyannis

We will discuss several new results from the NPLQCD Collaboration that combine lattice QCD results on (hyper)nuclear systems at unphysical pion masses together with nuclear effective field theories. Two-baryon channels with strangeness $0$…

High Energy Physics - Lattice · Physics 2022-09-21 Marc Illa

Effective Quantum Field Theories and QCD Lattice methods have become more and more complementary and mutually supportive in the study of Hard Probes. I present some of the progress that this alliance already delivered and I discuss future…

High Energy Physics - Phenomenology · Physics 2020-10-29 Nora Brambilla

A study of QCD at non-zero chemical potential, mu, and temperature, T, is performed using the lattice technique. The transition temperature (between the confined and deconfined phases) is determined as a function of mu and is found to be in…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt , L. Scorzato

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

Some recent developments to handle the numerical sign problem in QCD and related theories at nonzero density are reviewed. In this contribution I focus on changing the integration order to soften the severity of the sign problem, the…

High Energy Physics - Lattice · Physics 2015-02-13 Gert Aarts

I discuss some aspects of recent developments in color superconductivity in high density quark matter. I calculate the Cooper pair gap and the critical points at high density, where magnetic gluons are not screened. The ground state of high…

High Energy Physics - Phenomenology · Physics 2007-05-23 Deog Ki Hong

The study of systems as diverse as the cores of neutron stars and heavy-ion collision experiments requires the understanding of the phase structure of QCD at non-zero temperature, T, and chemical potential, mu_q. We review some of the…

High Energy Physics - Lattice · Physics 2009-11-11 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt

We employ a 3 flavor NJL model to stress some general remarks about the QCD critical line. The dependence of the critical curve on $\mu_q=(\mu_u+\mu_d)/2$ and $\mu_I=(\mu_u-\mu_d)/2$ is discussed. The quark masses are varied to confirm…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Barducci , R. Casalbuoni , G. Pettini , L. Ravagli

A connection between the operator fermionic currents $\hatJ$ and corresponding `Grassmannian' currents $J$ in the functional integral formalism is studied. The QCD action with non--zero chemical potential $\mu$ is derived. A connection…

High Energy Physics - Lattice · Physics 2009-11-07 V. K. Mitrjushkin

Starting from a NJL-type model with N fermion species fermion and difermion condensates and their associated phase structures are considered at nonzero chemical potential $\mu$ and zero temperature in spaces with nontrivial topology of the…

High Energy Physics - Phenomenology · Physics 2014-11-21 D. Ebert , K. G. Klimenko