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We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their…

High Energy Physics - Lattice · Physics 2007-05-23 M. A. Halasz

We investigate the large-N critical behavior of 2-d lattice chiral models by Monte Carlo simulations of U(N) and SU(N) groups at large N. Numerical results confirm strong coupling analyses, i.e. the existence of a large-N second order phase…

High Energy Physics - Lattice · Physics 2010-11-01 M. Campostrini , P. Rossi , E. Vicari

Dynamics of confinement, chiral symmetry breaking and thermal phase transition is considered at large $N_c$. It is argued that these phenomena are quantitatively well described within the Gaussian stochastic model of the QCD vacuum.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. A. Simonov

We study the phase diagram of quark matter and nuclear properties based on the strong coupling expansion of lattice QCD. Both of baryon and finite coupling correction are found to have effects to extend the hadron phase to a larger mu…

Nuclear Theory · Physics 2008-11-26 A. Ohnishi , N. Kawamoto , K. Miura , K. Tsubakihara , H. Maekawa

I review recent developments in determining the QCD phase diagram by means of lattice simulations. Since the invention of methods to side-step the sign problem a few years ago, a number of additional variants have been proposed, and…

High Energy Physics - Lattice · Physics 2007-05-23 Owe Philipsen

Matter described by Quantum Chromodynamics (QCD), the theory of strong interactions, may undergo phase transitions when its temperature and the chemical potentials are varied. QCD at finite temperature is studied in the laboratory by…

High Energy Physics - Phenomenology · Physics 2011-06-24 Sourendu Gupta , Xiaofeng Luo , Bedangadas Mohanty , Hans Georg Ritter , Nu Xu

This is an informal overview of methods and results on the QCD phase diagram and lattice termodynamics aimed at specialists in nearby fields.

High Energy Physics - Lattice · Physics 2017-08-23 M. -P. Lombardo

To date numerical simulations of lattice QCD have not found a chiral phase transition of first order which is expected to occur for sufficiently light pions. We show how the restoration of an exact global chiral symmetry can strongly…

High Energy Physics - Phenomenology · Physics 2024-07-25 Robert D. Pisarski , Fabian Rennecke

The strong coupling limit ($\beta_{gauge}=0$) of lattice QCD with staggered fermions enjoys the same non-perturbative properties as continuum QCD, namely confinement and chiral symmetry breaking. In contrast to the situation at weak…

High Energy Physics - Lattice · Physics 2010-01-21 M. Fromm , Ph. de Forcrand

We study the three-dimensional compact U(1) lattice gauge theory with $N$ Higgs fields numerically. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in easy plane, inflational cosmology, etc. For…

Superconductivity · Physics 2007-05-23 Tomoyoshi Ono , Ikuo Ichinose , Tetsuo Matsui

We use a cluster algorithm to study the critical behavior of strongly coupled lattice QCD in the chiral limit. We show that the finite temperature chiral phase transition belongs to the O(2) universality class as expected. When we compute…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan

I review recent theoretical developments which show how a key qualitative feature of the QCD phase diagram, namely a critical point which in a sense defines the landscape which heavy ion collision experiments are seeking to map, can be…

High Energy Physics - Phenomenology · Physics 2015-06-25 Krishna Rajagopal

QCD with 2 flavours of massless colour-sextet quarks is studied as a possible walking-Technicolor candidate. We simulate the lattice version of this model at finite temperatures near to the chiral-symmetry restoration transition, to…

High Energy Physics - Lattice · Physics 2015-09-30 J. B. Kogut , D. K. Sinclair

We review lattice determinations of the charm and bottom quark masses and the strong coupling constant obtained by different methods. We explain how effective field theory approaches, such as Non-Relativistic QCD (NRQCD), potential…

High Energy Physics - Lattice · Physics 2020-07-15 Javad Komijani , Peter Petreczky , Johannes Heinrich Weber

Strongly coupled QED is a model whose physics is dominated by short-ranged effects. In order to assess which features of numerical simulations of the chiral phase transition are universal and which are not, we have formulated a quenched…

High Energy Physics - Lattice · Physics 2009-10-28 Simon Hands

We show that a lattice model for induced lattice QCD which was recently proposed by Kazakov and Migdal has a $Z_N$ gauge symmetry which, in the strong coupling phase, results in a local confinement where only color singlets are allowed to…

High Energy Physics - Theory · Physics 2009-10-22 Ian I Kogan , Gordon W Semenoff , Nathan Weiss

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review I focus on the developments in the last two years. Especially the addition of external influences or new…

High Energy Physics - Lattice · Physics 2021-02-17 Jana N. Guenther

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

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU(N) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even…

High Energy Physics - Phenomenology · Physics 2025-10-09 Thomas DeGrand , Ethan T. Neil

Using a unified hadron-quark effective model for the QCD equation of state, this paper studies the phase structure of strongly interacting matter in a wide range of temperature and baryonchemical potential. At small potentials the model…

High Energy Physics - Phenomenology · Physics 2013-08-22 Philip Rau , Jan Steinheimer , Stefan Schramm
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