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Spontaneous symmetry breaking (SSB) is a widespread phenomenon in several areas of physics. In this paper I wish to illustrate some situations where spontaneous symmetry breaking presents non obvious aspects. The first example is taken from…

Statistical Mechanics · Physics 2011-02-24 Giovanni Jona-Lasinio

Based on the fact that the mass difference between the chiral partners is an order parameter of chiral phase transition and that the chiral order parameter reduces substantially at the chemical freeze-out point in ultra-relativistic heavy…

Nuclear Theory · Physics 2021-06-10 Haesom Sung , Sungtae Cho , Juhee Hong , Su Houng Lee , Sanghoon Lim , Taesoo Song

We discuss the (spontaneous) chiral symmetry breaking in a strongly coupled anisotropic quark-gluon plasma (QGP) in the presence of the magnetic field, using holography. The physical quantities related to the chiral symmetry breaking…

High Energy Physics - Theory · Physics 2014-03-26 Mohammad Ali-Akbari , Hajar Ebrahim

Based on the two-flavor NJL model with Tsallis non-extensive statistics, this work explores the QCD phase structure and thermodynamic properties under strong magnetic fields and chiral imbalance. The Tsallis parameter $q$ captures…

High Energy Physics - Phenomenology · Physics 2026-05-25 Xiang-Qiong Liu , Sheng-Qin Feng

An effective potential in a meson-meson system is discussed based on the SU(3) chiral constituent quark model, and the analytic form of the potential is explicitly given. In addition, the effective potential is employed to study the bound…

High Energy Physics - Phenomenology · Physics 2012-06-05 Li Ming-Tao , Dong Yu-Bing , Zhang Zong-Ye

We consider relativistic fermionic systems in lattice regularization out of equilibrium. The chiral magnetic conductivity $\sigma_{CME}$ is calculated in spatially infinite system for the case when the chiral chemical potential depends on…

High Energy Physics - Phenomenology · Physics 2022-09-07 Chitradip Banerjee , Meir Lewkowicz , M. A. Zubkov

We study the realization in a model of graphene of the phenomenon whereby the tendency of gauge-field mediated interactions to break chiral symmetry spontaneously is greatly enhanced in an external magnetic field. We prove that, in the weak…

High Energy Physics - Theory · Physics 2011-09-09 Gordon W. Semenoff , Fei Zhou

Chirality, an intrinsic preference for a specific handedness, is a fundamental characteristic observed in nature. In magnetism, magnetic chirality arises from the anti-symmetric Dzyaloshinskii-Moriya interaction in competition with the…

We investigate the effect of a strong magnetic field on dynamical chiral symmetry breaking in quenched and unquenched QCD. To this end we apply the Ritus formalism to the coupled set of (truncated) Dyson-Schwinger equations for the quark…

High Energy Physics - Phenomenology · Physics 2014-06-11 Niklas Mueller , Jacqueline A. Bonnet , Christian S. Fischer

We study the dynamics of the chiral phase transition in a linear quark-meson $\sigma$ model using a novel approach based on semiclassical wave-particle duality. The quarks are treated as test particles in a Monte-Carlo simulation of elastic…

Nuclear Theory · Physics 2018-02-20 C. Wesp , H. van Hees , A. Meistrenko , C. Greiner

The scaling of the thermoremanent magnetization and of the dissipative part of the non-equilibrium magnetic susceptibility is analysed as a function of the waiting-time $s$ for a simple ferromagnet undergoing phase-ordering kinetics after a…

Condensed Matter · Physics 2009-11-07 Malte Henkel , Matthias Paessens , Michel Pleimling

The mass generation in the (3+1)-dimensional supersymmetric Nambu-Jona-Lasinio model in a constant magnetic field is studied. It is shown that the external magnetic field catalyzes chiral symmetry breaking.

High Energy Physics - Theory · Physics 2009-10-30 Igor A. Shovkovy

The QCD phase diagram in the temperature versus quark chemical potential plane is studied in the presence of a magnetic field, using the linear sigma model coupled to quarks. It is shown that the decrease of the couplings with increasing…

High Energy Physics - Phenomenology · Physics 2015-12-02 Alejandro Ayala , C. A. Dominguez , L. A. Hernandez , M. Loewe , R. Zamora

In this paper Chiral Magnetic Effect (CME) in Dirac semimetals is studied by means of lattice Monte Carlo simulation. We measure conductivity of Dirac semimetals as a function of external magnetic field in parallel $\sigma_{\parallel}$ and…

Strongly Correlated Electrons · Physics 2018-08-15 D. L. Boyda , V. V. Braguta , M. I. Katsnelson , A. Yu. Kotov

It is known that in certain non-bipartite quasi-one dimensional spin systems in a magnetic field, in addition to the usual Pauli coupling of the spins to the field, new parity breaking three spin interactions, i.e. chiral spin interactions,…

Strongly Correlated Electrons · Physics 2009-10-31 R. Chitra , R. Citro

We study spontaneous symmetry breaking in quantum field theories with fermionic order parameters and construct, for the first time in the literature, the constraint effective potential for it. The Grassmann-valued constraint we encounter is…

High Energy Physics - Lattice · Physics 2024-12-18 Gergely Endrődi , Tamás G. Kovács , Gergely Markó , Laurin Pannullo

Magnetic effects on chiral phase transition have been investigated in a modified soft-wall AdS/QCD model, in which the dilaton field is taken to be negative at the ultraviolet region and positive at the infrared region as in…

High Energy Physics - Theory · Physics 2017-03-08 Danning Li , Mei Huang , Yi Yang , Pei-Hung Yuan

We simulate QED in a strong constant homogeneous external magnetic field on a euclidean space-time lattice using the Rational Hybrid Monte Carlo method, developed for simulating lattice QCD. Our primary goal is to measure the chiral…

High Energy Physics - Lattice · Physics 2023-11-08 J. B. Kogut , D. K. Sinclair

Dynamical symmetry breaking is investigated for a four-fermion Nambu-Jona-Lasinio model in external electromagnetic and gravitational fields. An effective potential is calculated in the leading order of the large-N expansion using the…

High Energy Physics - Theory · Physics 2009-10-31 E. Elizalde , Yu. I. Shil'nov

The chiral magnetic effect (CME) -- a macroscopic manifestation of the quantum chiral anomaly -- induces currents along magnetic field lines, facilitating mutual conversion between chiral asymmetry and magnetic helicity. Although the finite…

High Energy Astrophysical Phenomena · Physics 2025-09-16 Clara Dehman , José A. Pons
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