Brigitte Hiller, Alexander A. Osipov, Alex H. Blin, João da Providência, “Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field”, SIGMA, 2008, Volume 4,024, 14 pp.

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

Brigitte Hiller^a, Alexander A. Osipov^b, Alex H. Blin^a, 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

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.

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

MSC: 81T10

Received: November 14, 2007; in final form February 7, 2008; Published online February 22, 2008

Language: English

DOI: 10.3842/SIGMA.2008.024