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Related papers: Phase transition induced by a magnetic field

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We study the behavior of strongly interacting matter under a uniform intense external magnetic field in the context of nonlocal extensions of the Polyakov-Nambu-Jona-Lasinio model. A detailed description of the formalism is presented,…

High Energy Physics - Phenomenology · Physics 2017-12-22 D. Gomez Dumm , M. F. Izzo Villafañe , S. Noguera , V. P. Pagura , N. N. Scoccola

It is shown that the chiral symmetry is spontaneously broken by a constant magnetic field in QED. The dynamical mass of fermions (energy gap in the fermion spectrum) is $m_{dyn}\simeq C\sqrt{eB}\exp\left[-\left(\pi/\alpha\right)…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We argue that a uniform acceleration of matter produces an effect similar to cooling, thus leading, in particular, to the enhancement effect of spontaneous symmetry breaking. This conclusion is supported by the observation by Unruh and…

High Energy Physics - Theory · Physics 2025-01-28 Maxim N. Chernodub

We study the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field in the non-commutative plane. It is shown that the effect of non-commutativity is twofold: $i$) momentum non commuting coordinates simply shift the critical…

High Energy Physics - Theory · Physics 2014-10-23 O. Panella , P. Roy

The properties of the ground state of relativistic matter in a magnetic field are examined within the framework of a Nambu-Jona-Lasinio model. The main emphasis of this study is the normal ground state, which is realized at sufficiently…

High Energy Physics - Phenomenology · Physics 2015-03-18 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

We study the two-flavor Nambu--Jona-Lasinio model with the Polyakov loop (PNJL model) in the presence of a strong magnetic field and a chiral chemical potential $\mu_5$ which mimics the effect of imbalanced chirality due to QCD instanton…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Fukushima , Marco Ruggieri , Raoul Gatto

The thermal conductivity of the (2+1)-dimensional NJL model in the presence of a constant magnetic field is calculated in the mean-field approximation and its different asymptotic regimes are analyzed. Taking into account the dynamical…

Superconductivity · Physics 2009-11-07 E. J. Ferrer , V. P. Gusynin , V. de la Incera

We consider an approximation procedure to evaluate the finite-temperature one-loop fermionic density in the presence of a chiral background field which systematically incorporates effects from inhomogeneities in the chiral field through a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Bruno G. Taketani , Eduardo S. Fraga

In the paper a generalization of the (1+1)-dimensional model by Chodos et al [Phys. Rev. D61, 045011 (2000)] has been performed to the case of (2+1)-dimensional spacetime. The model includes four-fermion interaction both in the…

High Energy Physics - Theory · Physics 2015-06-11 K. G. Klimenko , R. N. Zhokhov , V. Ch. Zhukovsky

We investigate the influence of an external magnetic field on chiral symmetry breaking in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential. According to the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

We investigate the Gross-Neveu model in $2+1$ dimensions in a constant and homogeneous magnetic field using one reducible flavor of overlap fermions. Our lattice simulations suggest that the magnetic catalysis phenomenon, i.e., an increase…

High Energy Physics - Lattice · Physics 2022-11-21 Michael Mandl , Julian J. Lenz , Andreas Wipf

The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to calculated the path integral which apply to the continuous…

High Energy Physics - Theory · Physics 2007-05-23 Hisashi Kikuchi

The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged Nambu-Jona-Lasinio model in four dimensions. The most interesting feature of the gauged Nambu-Jona-Lasinio model is the appearance of…

High Energy Physics - Theory · Physics 2007-05-23 Manuel Reenders

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger…

High Energy Physics - Theory · Physics 2015-05-14 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

The phase structure of $d=3$ Nambu-Jona-Lasinio model in curved spacetime with magnetic field is investigated in the leading order of the $1/N$-expansion and in linear curvature approximation (an external magnetic field is treated exactly).…

High Energy Physics - Theory · Physics 2009-09-17 D. M. Gitman , S. D. Odintsov , Yu. I. Shil'nov

A model of $N$ 4-component massless fermions in a quartic self-interaction based on ref. \cite{gomes2022} is investigated in the presence of chemical potential and temperature via optimized perturbation theory that accesses finite-N…

High Energy Physics - Theory · Physics 2024-07-09 Y. M. P. Gomes , M. J. Neves

The thermodynamics of a first-order chiral phase transition is considered in the presence of spinodal phase separation using the Nambu-Jona-Lasinio model in the mean field approximation. We focus on the behavior of conserved charge…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

In pursuit of the sketching the effective magnetized QCD phase diagram, we found conditions on the critical coupling for chiral symmetry breaking in the Nambu-Jona-Lasinio model in a nontrivial thermo-magnetic environment. Critical values…

High Energy Physics - Theory · Physics 2018-08-15 Angelo Martínez , Alfredo Raya

In this work we investigate the combined finite-size and thermomagnetic effects on the properties of neutral mesons in a hot medium, in the context of the Nambu--Jona-Lasinio model. In particular, by using the mean-field approximation and…

High Energy Physics - Phenomenology · Physics 2022-03-18 Luciano M. Abreu , Emerson B. S. Corrêa , Elenilson S. Nery

It is known that in the 2+1 dimensional quantum electrodynamics with Chern-Simons term, spontaneous magnetic field induces Lorentz symmetry breaking. In this paper, thermodynamical characters, especially the phase structure of this model…

High Energy Physics - Theory · Physics 2009-09-25 Shinya Kanemura , Takao Matsushita