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Fluctuations in the vicinity of a phase transition are important but neglected in mean-field theory. In order to assess the influence of such fluctuations on the critical endpoint and the size of the critical region in the QCD phase…

High Energy Physics - Phenomenology · Physics 2009-04-14 Bernd-Jochen Schaefer

We present here results on the determination of the critical temperature in the chiral limit for (2+1)-flavor QCD. We propose two novel estimators of the chiral critical temperature where quark mass dependence is strongly suppressed…

High Energy Physics - Lattice · Physics 2019-01-28 H. -T. Ding , P. Hegde , F. Karsch , A. Lahiri , S. -T. Li , S. Mukherjee , P. Petreczky

We analyse the role of the quark backreaction on the gauge-field dynamics and its impact on the Polyakov-loop potential. Based on our analysis we construct an improved Polyakov-loop potential that can be used in future model studies. In the…

High Energy Physics - Phenomenology · Physics 2013-03-18 Rainer Stiele , Lisa M. Haas , Jens Braun , Jan M. Pawlowski , Juergen Schaffner-Bielich

We use the linear sigma model with two flavors of quarks to study the phase diagram at finite temperature and baryon chemical potential as a function of the vacuum pion mass. Our calculations include thermal fluctuations of both the bosonic…

Nuclear Theory · Physics 2014-11-20 J. I. Kapusta , E. S. Bowman

By extending the $\Phi$-derivable approach in Nambu-Jona-Lasinio model to finite magnetic field we calculate the properties of pion, $\sigma$ and $\rho$ mesons in a magnetic field at finite temperature in not only the quark-antiquark bound…

High Energy Physics - Phenomenology · Physics 2016-07-13 Rui Zhang , Wei-jie Fu , Yu-xin Liu

Thermodynamics and the phase structure of the Polyakov loop-extended two flavor chiral quark-meson model (PQM) are explored. The analysis of the PQM model is based on the functional renormalization group (FRG) method. An appropriate…

High Energy Physics - Phenomenology · Physics 2014-11-20 V. Skokov , B. Stokic , B. Friman , K. Redlich

We investigate the quark backreaction on the Polyakov loop and its impact on the thermodynamics of quantum chromodynamics. The dynamics of the gluons generating the Polyakov-loop potential is altered by the presence of dynamical quarks.…

High Energy Physics - Phenomenology · Physics 2013-04-15 Lisa M. Haas , Rainer Stiele , Jens Braun , Jan M. Pawlowski , Juergen Schaffner-Bielich

The meson masses and mixing angles have been calculated for the scalar and pseudoscalar sector in the framework of the generalized 2+1 flavor Polyakov loop augmented quark meson linear sigma model. We have given the results for two…

High Energy Physics - Phenomenology · Physics 2010-04-29 Uma Shankar Gupta , Vivek Kumar Tiwari

This paper investigates the impact of strangeness chemical potential and finite volume on QCD critical end point by employing a (2+1) flavored Polyakov quark meson model. Within the mean-field approximation, the model has been extended to…

Nuclear Theory · Physics 2023-10-09 Nisha Chahal , Suneel Dutt , Arvind Kumar

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Alejandro Ayala , Jorge David Castaño-Yepes , José Antonio Flores , Saúl Hernández , Luis Hernández

We investigate the phase diagram of the so-called Polyakov--Nambu--Jona-Lasinio (PNJL) model at finite temperature and nonzero chemical potential. The calculations are performed in the light and strange quark sectors ($u$, $d$, $s$), which…

High Energy Physics - Phenomenology · Physics 2015-03-20 P. Costa , C. A. de Sousa , M. C. Ruivo , H. Hansen , O. Oliveira , P. J. Silva

A model of mesons which is based on the QCD Hamiltonian in Coulomb gauge is presented. The model relies on a novel quasiparticle basis to improve the reliability of the Fock space expansion. It is also relativistic, yields chiral pions, and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Norbert Ligterink , Eric S. Swanson

The Polyakov Quark Meson (PQM) model is extended to SU(4) flavor symmetry by incorporating the charm quark and introducing a finite isospin asymmetry. This model incorporates the light, strange, and charm chiral condensates, along with the…

High Energy Physics - Phenomenology · Physics 2025-09-10 Abdel Magied Diab

At nonzero temperature in QCD, about the deconfining phase transition there is a "semi" quark gluon plasma (semi-QGP), where the expectation value of the (renormalized) Polyakov loop is less than one. This can be modeled by a semiclassical…

High Energy Physics - Phenomenology · Physics 2010-04-28 Yoshimasa Hidaka , Robert D. Pisarski

We study properties of hadrons in the O(4) linear $\sigma$ model, where we take into account fluctuations of mesons around their mean field values using the Gaussian functional (GF) method. In the GF method we calculate dressed $\sigma$ and…

Nuclear Theory · Physics 2015-04-23 Hua-Xing Chen , Shotaro Imai , Hiroshi Toki , Li-Sheng Geng

We investigate chemical-potential ($\mu$) and temperature ($T$) dependence of scalar and pseudo-scalar meson masses for both real and imaginary $\mu$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model with three-flavor…

High Energy Physics - Phenomenology · Physics 2011-01-18 Takeshi Matsumoto , Kouji Kashiwa , Hiroaki Kouno , Kagayaki Oda , Masanobu Yahiro

We report on the results of the 2+1 flavour QCD simulations at nonzero isospin chemical potential performed at half the physical light quark mass. At low temperatures and large isospin chemical potential Bose-Einstein Condensation (BEC)…

High Energy Physics - Lattice · Physics 2025-02-03 Bastian B. Brandt , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi

We review our results for the QCD phase diagram at baryonic chemical potential mu_B \leq pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. For 2 flavors of staggered…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ph. de Forcrand , O. Philipsen

This review of the quark-level linear \sigma model is based upon the dynamical realization of the pseudoscalar and scalar mesons as a linear representation of SU(2) x SU(2) chiral symmetry, with the symmetry weakly broken by current quark…

High Energy Physics - Phenomenology · Physics 2013-10-25 Michael D. Scadron , George Rupp , Robert Delbourgo

Gaussian Approximation Potentials are a class of Machine Learned Interatomic Potentials routinely used to model materials and molecular systems on the atomic scale. The software implementation provides the means for both fitting models…