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Catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu -- Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the…

High Energy Physics - Phenomenology · Physics 2007-06-22 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

A constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion mass even at the weakest attractive interaction between fermions. The essence of this…

High Energy Physics - Theory · Physics 2009-10-28 V. A. Miransky

It is shown that in $3+1$ dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to generating a fermion mass even at the weakest attractive interaction between fermions. The essence of this…

High Energy Physics - Phenomenology · Physics 2019-08-15 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

In the presence of a chemical potential, the effect of a magnetic field on chiral symmetry breaking goes beyond the well-known magnetic catalysis. Due to a subtle interplay with the chemical potential, the magnetic field may work not only…

High Energy Physics - Phenomenology · Physics 2015-06-11 Florian Preis , Anton Rebhan , Andreas Schmitt

Explicit chiral symmetry breaking is a natural feature of many QCD inspired models with multi-quark interactions. To carry out the 1/N expansion of these theories, one integrates over the quark fields. In the process of calculating the…

High Energy Physics - Theory · Physics 2007-08-23 Alexander A. Osipov , Brigitte Hiller , Alex H. Blin

The hypothesis that the magnetic catalysis of chiral symmetry breaking is due to interactions of massless fermions in their lowest Landau level is examined in the context of chirally symmetric models with short ranged interactions. It is…

High Energy Physics - Theory · Physics 2009-10-31 G. W. Semenoff , I. A. Shovkovy , L. C. R. Wijewardhana

The catalysis of chiral symmetry breaking by an applied constant magnetic field and in the presence of boundaries along third axis is investigated in the four-dimensional Nambu-Jona-Lasinio model. It is shown that in case of periodic…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. J. Ferrer , V. P. Gusynin , V. de la Incera

It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical mass even at the weakest attractive interaction between…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The effects of an external field on the dynamics of chiral symmetry breaking are studied using quenched, ladder QED as our model gauge field theory. It is found that a uniform external magnetic field enables the chiral symmetry to be…

High Energy Physics - Theory · Physics 2009-10-31 C. N. Leung

A method for obtaining the small current quark mass effect on the dressed quark propagator from an effective quark-quark interaction model is developed. Within this approach both explicit and dynamical chiral symmetry breaking has been…

Nuclear Theory · Physics 2009-11-07 Hong-shi Zong , Xiao-hua Wu , Feng-yao Hou , En-guang Zhao

The catalysis of chiral symmetry breaking in the massless weakly coupled QED in a magnetic field is studied. It is shown that the effect is due to the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor A. Shovkovy

We describe a (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge theory without fundamental scalar fields: QED in a constant magnetic field.

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The chiral symmetry breaking in the presence of an external magnetic field is studied in the framework of logarithmic quark-sigma model with three flavors (u,d,s). The effective logarithmic mesonic potential is extended to strange quark and…

High Energy Physics - Phenomenology · Physics 2017-08-18 M. Abu-Shady

Non-perturbative effect of the formation of a chiral symmetry breaking condensate <\bar\psi\psi> and of a dynamically generated fermion mass in QED in the presence of an external magnetic field is considered. The dynamical mass of a fermion…

High Energy Physics - Theory · Physics 2007-05-23 V. P. Gusynin

The enhancement of the fermionic condensate due to the presence of both homogeneous and non-homogeneous external magnetic fields is studied for three-dimensional QED.

High Energy Physics - Lattice · Physics 2007-05-23 K. Farakos , G. Koutsoumbas , N. Mavromatos , A. Momen

The effect of the higher-order mesonic interactions is investigated on the chiral symmetry breaking in the presence of an external magnetic field. The effective of higher-order mesonic potential is employed and is numerically solved in the…

High Energy Physics - Phenomenology · Physics 2017-07-24 M. Abu-Shady

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

In this paper we study the properties of media with chiral imbalance parameterized by chiral chemical potential. It is shown that depending on the strength of interaction between constituents in the media the chiral chemical potential…

High Energy Physics - Theory · Physics 2016-05-25 V. V. Braguta , A. Yu. Kotov

We investigate the interplay between the (light-light quark) chiral condensate and heavy-light quark condensate induced by the QCD Kondo effect, which is described by an effective Lagrangian with four-point interactions and the mean-field…

High Energy Physics - Phenomenology · Physics 2017-12-20 Kei Suzuki , Shigehiro Yasui , Kazunori Itakura

The behavior of quark matter with both external electric field and chiral chemical potential is theoretically and experimentally interesting to consider. In this paper, the case of simultaneous presence of imaginary electric field and…

High Energy Physics - Lattice · Physics 2024-08-26 Ji-Chong Yang , Xin Zhang , Jian-Xing Chen
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