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We present a phase diagram study of the O(4) model as an effective theory for 2-flavor QCD. In the chiral limit, both theories perform spontaneous symmetry breaking with isomorphic groups, which suggests that they belong to the same…

Using an eighth-order Taylor expansion in baryon chemical potential, we recently obtained the (2+1)-flavor QCD equation of state (EoS) at non-zero conserved charge chemical potentials from the lattice. We focused on strangeness-neutral,…

High Energy Physics - Lattice · Physics 2024-07-02 D. A. Clarke , J. Goswami , F. Karsch , P. Petreczky

We introduce a random matrix model with the symmetries of QCD with two colors at nonzero isospin and baryon chemical potentials and temperature. We analyze its phase diagram and find phases with condensation of pion and diquark states in…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Klein , D. Toublan , J. J. M. Verbaarschot

We show how to include a chemical potential \mu in perfect lattice actions. It turns out that the standard procedure of multiplying the quark fields \Psi, \bar\Psi at Euclidean time t by \exp(\pm \mu t), respectively, is perfect. As an…

High Energy Physics - Lattice · Physics 2009-10-31 W. Bietenholz , U. -J. Wiese

We use 2-color QCD as a model to study the effects of simultaneous presence of chemical potentials for isospin charge, $\mu_I$, and for baryon number, $\mu_B$. We determine the phase diagrams for 2 and 4 flavor theories using the method of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Splittorff , D. T. Son , M. A. Stephanov

In this paper, we consider two-flavor QCD at zero temperature and finite isospin chemical potential ($\mu_I$) using a model-independent analysis within chiral perturbation theory at next-to-leading order. We calculate the effective…

High Energy Physics - Phenomenology · Physics 2020-11-11 Prabal Adhikari , Jens O. Andersen

The thermodynamics of massless ideal gas of overlap quarks has been investigated both analytically and numerically for both zero and nonzero baryon chemical potential. Any \mu^2-divergence is shown analytically to be absent for a class of…

High Energy Physics - Lattice · Physics 2008-12-18 Debasish Banerjee , R. V. Gavai , Sayantan Sharma

With the isovector coupling constants adjusted to reproduce the physical pion mass and lattice QCD results in baryon-free quark matter, we have carried out rigourous calculations for the pion condensate in the 3-flavor Nambu-Jona-Lasinio…

High Energy Physics - Phenomenology · Physics 2021-10-13 Lu-Meng Liu , Jun Xu , Guang-Xiong Peng

We analyse in detail the behaviour of supersymmetric QCD with a number of flavours M smaller than the number of colours N, for quark masses smaller than the dynamically generated scale. In this regime, we find it useful to move from meson…

High Energy Physics - Theory · Physics 2009-10-31 Ferruccio Feruglio

The phase diagram of two-color QCD as a function of temperature and baryon chemical potential is considered. Using a low-energy chiral Lagrangian based on the symmetries of the microscopic theory, we determine, at the one-loop level, the…

High Energy Physics - Phenomenology · Physics 2015-06-25 K. Splittorff , D. Toublan , J. J. M. Verbaarschot

We investigate the possibility of parity being spontaneously violated in QCD at finite baryon density and temperature. The analysis is done for an idealized homogeneous and infinite nuclear matter where the influence of density can be…

High Energy Physics - Phenomenology · Physics 2009-07-24 A. A. Andrianov , V. A. Andrianov , D. Espriu

We explore the out-of-equilibrium dynamics of the Quark-Gluon Plasma at zero and finite net-baryon density based on an effective kinetic theory of Quantum Chromo Dynamics (QCD). By investigating the isotropization of the longitudinal…

High Energy Physics - Phenomenology · Physics 2021-09-22 Xiaojian Du , Sören Schlichting

QCD with the isospin chemical potential, $\mu_I$, is a useful laboratory to delineate the microphysics in dense QCD. To study the quark-hadron-continuity we use a quark-meson model that interpolates hadronic and quark matter physics at…

High Energy Physics - Phenomenology · Physics 2024-06-18 Toru Kojo , Daiki Suenaga , Ryuji Chiba

We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of $\ln Z$ with respect to quark chemical potential $\mu_q$ up to fourth order are calculated for 2-flavor QCD, enabling…

High Energy Physics - Lattice · Physics 2008-11-26 Shinji Ejiri , Chris R. Allton , Simon J. Hands , Olaf Kaczmarek , Frithjof Karsch , Edwin Laermann , Christian Schmidt

We study two effective theories for QCD at non-zero temperature and finite chemical potential, using local Polyakov loops as the degrees of freedom. The sign problem is solved by exactly mapping the partition function to a sum over flux and…

High Energy Physics - Lattice · Physics 2012-08-07 Ydalia Delgado , Hans Gerd Evertz , Christof Gattringer , Daniel Göschl

Based on the constituent quasiparticle model of the quark-gluon plasma (QGP), color quantum path-integral Monte-Carlo (PIMC) calculations of the thermodynamic properties of the QGP are performed. We extend our previous zero chemical…

High Energy Physics - Phenomenology · Physics 2015-04-21 V. S. Filinov , M. Bonitz , Y. B. Ivanov , M. Ilgenfritz , V. E. Fortov

We present recent results on the critical and pseudo-critical temperatures in (2+1)-flavor QCD with a physical strange quark mass and two degenerate light quark masses extrapolated to the chiral limit and tuned to the physical value,…

High Energy Physics - Lattice · Physics 2019-05-13 Frithjof Karsch

In the first part of these lectures we discuss the infrared limit of the spectrum of the QCD Dirac operator. We discuss the global symmetries of the QCD partition function and show that the Dirac spectrum near zero virtuality is determined…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. J. M. Verbaarschot

Partition functions of two different matrix models for QCD with chemical potential are computed for an arbitrary number of quark and complex conjugate anti-quark flavors. In the large-N limit of weak nonhermiticity complete agreement is…

High Energy Physics - Theory · Physics 2010-04-05 G. Akemann , Y. V. Fyodorov , G. Vernizzi

The intrinsic fluctuations, memory effects and long-range color interactions in high energy nuclear collisions imply the presence of non-Markovian processes in the fireball evolution, which affects the thermalization process towards…

High Energy Physics - Phenomenology · Physics 2025-11-21 Zhi-Ying Qin , Jia-Hao Shi , Jin-Peng Zhang , Jian Cao , Bo Feng , Wen-Chao Zhang , Hua Zheng , Shi-Jun Mao
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