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We perform a 1/N-expansion of the partition function of the massive Gross-Neveu model in 1+1 dimensions. The procedure allows for the inclusion of the contribution of scalar and pseudoscalar composites (of order 1/N) to the equation of…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Barducci , R. Casalbuoni , R. Gatto , M. Modugno , G. Pettini

We consider the thermodynamics of chiral models in the mean-field approximation and discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral quark-meson model and its Polyakov loop extended version, we show…

High Energy Physics - Phenomenology · Physics 2014-11-21 V. Skokov , B. Friman , E. Nakano , K. Redlich , B. -J. Schaefer

The critical regions enveloping the critical end point (CEP) in the chemical potential-temperature plane of phase diagrams, have been mapped by drawing the contours of the normalized quark number susceptibility in the on-shell renormalized…

High Energy Physics - Phenomenology · Physics 2025-12-16 Akanksha Tripathi , Vivek Kumar Tiwari

The location of the critical end point (CEP) in the QCD phase diagram is determined under different scenarios. The effect of strangeness, isospin/charge asymmetry and an external magnetic field is investigated. The discussion is performed…

High Energy Physics - Phenomenology · Physics 2014-03-27 Pedro Costa , Márcio Ferreira , Hubert Hansen , Débora P. Menezes , Constança Providência

Using a gap equation for the pion mass a nonperturbative method is given for solving the chiral quark-meson model in the chiral limit at the lowest order in the fermion contributions encountered in a large N_f approximation. The location of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Jakovac , A. Patkos , Zs. Szep , P. Szepfalusy

We report on our study of QCD thermodynamics with 2+1 flavors of dynamical quarks. In this proceeding we present several thermodynamic quantities and our recent calculation of the critical temperature. In order to investigate the…

High Energy Physics - Lattice · Physics 2008-11-26 Takashi Umeda

We investigate pion superfluidity in the frame of two flavor Nambu--Jona-Lasinio model beyond mean field approximation. We calculate the thermodynamics to the next to leading order in an expansion in the inverse number of colors, including…

High Energy Physics - Phenomenology · Physics 2009-10-29 Chengfu Mu , Pengfei Zhuang

We revisit the phase diagram of strong-interaction matter for the two-flavor quark-meson model using the Functional Renormalization Group. In contrast to standard mean-field calculations, an unusual phase structure is encountered at low…

High Energy Physics - Phenomenology · Physics 2018-02-28 Ralf-Arno Tripolt , Bernd-Jochen Schaefer , Lorenz von Smekal , Jochen Wambach

Within the proper-time renormalization group approach, the chiral phase diagram of a two-flavor quark-meson model is studied. In the chiral limit, the location of the tricritical point which is linked to a Gaussian fixed point, is…

Nuclear Theory · Physics 2009-11-10 Bernd-Jochen Schaefer , Jochen Wambach

We consider the $(2+1)$ flavor Polyakov Quark Meson Model and study the fluctuations (correlations) of conserved charges upto sixth (fourth) order. Comparison is made with lattice data wherever available and overall good qualitative…

High Energy Physics - Phenomenology · Physics 2015-02-13 Sandeep Chatterjee , Kirtimaan A. Mohan

The Polyakov loop is included in the SU(2)_L x SU(2)_R chiral quark-meson model by considering the propagation of the constituent quarks, coupled to the (sigma,pi) meson multiplet, on the homogeneous background of a temporal gauge field,…

High Energy Physics - Phenomenology · Physics 2017-08-23 G. Marko , Zs. Szep

Simulation of materials at the atomistic level is an important tool in studying microscopic structure and processes. The atomic interactions necessary for the simulation are correctly described by Quantum Mechanics. However, the…

Materials Science · Physics 2015-03-13 Albert P. Bartók

The linear sigma model at finite temperature and chemical potential is systematically studied using the coherent-pair approximation, in which fully taking quantum of fields are included. The expectation value of the chiral Hamiltonian…

High Energy Physics - Phenomenology · Physics 2015-12-23 H. M. Mansour , M. Abu-Shady

We combine the recently introduced Non-Abelian Quasi-Particle Model (NAQPM) for gluons with an ideal Fermi gas of three quark species with the aim to describe the equation of state (energy density vs. temperature) of $2+1$ - flavour…

High Energy Physics - Phenomenology · Physics 2025-12-09 Eleftherios P. Politis , Antonis Tsapalis , Fotios K. Diakonos

We show the equivalence between the three approximation schemes for self-interacting (1+1)-D scalar field theories. Based on rigorous results of [1, 2], we are able to prove that the Gaussian approximation is very precise for certain limits…

Quantum Physics · Physics 2007-05-23 E. Prodan

We investigate the properties of hot and/or dense matter in QCD-like theories with quarks in a (pseudo)real representation of the gauge group using the Nambu-Jona-Lasinio model. The gauge dynamics is modeled using a simple lattice spin…

High Energy Physics - Phenomenology · Physics 2015-03-17 Tian Zhang , Tomas Brauner , Dirk H. Rischke

Introduction of a nonzero isospin chemical potential in QCD leads to the emergence of a pion condensed phase at sufficiently large $\mu_I$, bounded by a second order transition line. At zero temperature the pion condensate appears at $\mu_I…

High Energy Physics - Lattice · Physics 2025-12-08 Bastian B. Brandt , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi

The quark-meson model is often used as an effective low-energy model for QCD to study the chiral transition at finite temperature $T$ and baryon chemical potential $\mu_B$. The parameters in the quark-meson model can be found by expressing…

High Energy Physics - Phenomenology · Physics 2017-03-01 Prabal Adhikari , Jens O. Andersen , Patrick Kneschke

We use the linear sigma model with quarks to locate the critical end point in the effective QCD phase diagram accounting for fluctuations in temperature and quark chemical potential. For this purpose, we use the non-equilibrium formalism…

High Energy Physics - Phenomenology · Physics 2020-04-29 Alejandro Ayala , Saul Hernandez-Ortiz , Luis A. Hernandez , Victor Knapp-Perez , Renato Zamora

We develop a functional Stein-Malliavin method in a non-diffusive Poissonian setting, thus obtaining a) quantitative central limit theorems for approximation of arbitrary non-degenerate Gaussian random elements taking values in a separable…

Probability · Mathematics 2023-04-17 Solesne Bourguin , Simon Campese , Thanh Dang