Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 4 (2008), 024, 14 pages      arXiv:0802.3193      https://doi.org/10.3842/SIGMA.2008.024
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics

Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field

Brigitte Hiller a, Alexander A. Osipov b, Alex H. Blin a and João da Providência a
a) Centro de Física Teórica, Departamento de Física da Universidade de Coimbra, 3004-516 Coimbra, Portugal
b) Joint Institute for Nuclear Research, Laboratory of Nuclear Problems, 141980 Dubna, Moscow region, Russia

Received November 14, 2007, in final form February 07, 2008; Published online February 22, 2008

Abstract
It is shown how the strong interaction dynamics of a multi-quark Lagrangian affects the catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions. Attention is drawn to the local minima structure of the theory.

Key words: dynamical chiral symmetry breaking; catalysis; field theoretical model of multi-quark interactions.

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