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The chiral phase transition at finite temperature T and/or chemical potential $\mu$ is studied using the QCD-like theory with a variational approach. The ``QCD-like theory'' means the improved ladder approximation with an infrared cutoff in…

High Energy Physics - Phenomenology · Physics 2009-10-31 O. Kiriyama , M. Maruyama , F. Takagi

We review the main features of the QCD phase diagram description, at finite temperature, baryon density and in the presence of a magnetic field, from the point of view of effective models, whose main ingredient is chiral symmetry. We…

High Energy Physics - Phenomenology · Physics 2021-07-28 Alejandro Ayala , Luis A. Hernández , Marcelo Loewe , Cristian Villavicencio

We apply optimized perturbation theory to the quark-meson model at finite temperature T and quark chemical potential mu. The effective potential is calculated to one loop both in the chiral limit and at the physical point and used to study…

High Energy Physics - Phenomenology · Physics 2011-02-15 Jens O. Andersen , Rashid Khan , Lars T. Kyllingstad

QCD-based thermodynamics at zero and finite quark chemical potential is studied using an extended Nambu and Jona-Lasinio approach in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field…

Nuclear Theory · Physics 2007-05-23 Claudia Ratti , Michael A. Thaler , Wolfram Weise

The QCD axion cosmology depends crucially on whether the QCD axion is present during inflation or not. We point out that contrary to the standard criterion, the Peccei-Quinn (PQ) symmetry could remain unbroken during inflation, even when…

High Energy Physics - Phenomenology · Physics 2023-06-14 Yunjia Bao , JiJi Fan , Lingfeng Li

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

We reexamine the recently proposed "little inflation" scenario that allows for a strong first order phase-transition of QCD at non-negligible baryon number in the early universe and its possible observable consequences. The scenario is…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Tillmann Boeckel , Jürgen Schaffner-Bielich

We study the qualitative features of the QCD phase diagram in the context of the linear quark-meson model with two flavours, using the exact renormalization group. We identify the universality classes of the second-order phase transitions…

High Energy Physics - Theory · Physics 2010-04-05 N. Tetradis

QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point.…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Owe Philipsen

Heavy-ion collisions performed in the beam energy range accessible by the NICA collider facility are expected to produce systems of extreme net-baryon densities and can thus reach yet unexplored regions of the QCD phase diagram. Here, one…

Nuclear Theory · Physics 2016-09-21 Marlene Nahrgang , Christoph Herold

The so-called Columbia plot summarises the order of the QCD thermal transition as a function of the number of quark flavours and their masses. Recently, it was demonstrated that the first-order chiral transition region, as seen for $N_f \in…

High Energy Physics - Lattice · Physics 2022-12-08 Alfredo D'Ambrosio , Owe Philipsen , Reinhold Kaiser

We study the QCD phase structure in the three-flavor Nambu-Jona-Lasinio model, incorporating the interplay between the chiral and diquark condensates induced by the axial anomaly. We demonstrate that for an appropriate range of parameters…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hiroaki Abuki , Gordon Baym , Tetsuo Hatsuda , Naoki Yamamoto

Using the 2+1 flavor Nambu--Jona-Lasinio (NJL) model with the Polyakov loop, we determine the structure of the QCD phase diagram in an external magnetic field. Beyond the usual NJL model with constant couplings, we also consider a variant…

High Energy Physics - Phenomenology · Physics 2017-12-25 Márcio Ferreira , Pedro Costa , Constança Providência

We study the observational predictions of the phenomenological anti-de Sitter (AdS)/QCD inspired model, in which the inflaton field emerges in a four-dimensional strongly coupled gauge theory, in which the chiral symmetry breaking occurs…

High Energy Physics - Theory · Physics 2021-09-08 M. Ahmadvand , A. Ashoorioon , K. Bitaghsir Fadafan

We study the critical point in the QCD phase diagram in the Nambu-Jona-Lasino (NJL) model by including a scalar-vector coupled interaction. We find that varying the strength of this interaction, which has no effect on the vacuum properties…

Nuclear Theory · Physics 2021-01-13 Kai-Jia Sun , Che-Ming Ko , Shanshan Cao , Feng Li

We study the interplay between chiral and diquark condensates within the framework of the Ginzburg-Landau free energy, and classify possible phase structures of two and three-flavor massless QCD. The QCD axial anomaly acts as an external…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tetsuo Hatsuda , Motoi Tachibana , Naoki Yamamoto , Gordon Baym

The order of the thermal chiral phase transition in lattice QCD is known to be strongly cutoff-dependent. A previous study using $N_\mathrm{f}\in[2,6]$ mass-degenerate, unimproved staggered quark flavours on $N_\tau\in\{4,6,8\}$ lattices…

High Energy Physics - Lattice · Physics 2025-12-18 Alfredo D'Ambrosio , Michael Fromm , Reinhold Kaiser , Owe Philipsen

We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for…

High Energy Physics - Phenomenology · Physics 2025-06-03 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote

A class of Polyakov-loop-modified Nambu--Jona-Lasinio (PNJL) models have been used to support a conjecture that numerical simulations of lattice-regularized quantum chromodynamics (QCD) defined with a chiral chemical potential can provide…

Attempts to extract the order of the chiral transition of QCD at zero chemical potential, with two dynamical flavors of massless quarks, from simulations with progressively decreasing pion mass have remained inconclusive because of their…

High Energy Physics - Lattice · Physics 2018-11-13 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra