Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED

Details Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED

2001-05-07

arxiv.org/abs/hep-ph/0105059v3

Phys.Rev. D64 (2001) 105028

Physics

High Energy Physics

High Energy Physics - Phenomenology

PRD version

Scientific paper

10.1103/PhysRevD.64.105028

Reduced gauge theories are theories in which while gauge fields propagate in a bulk, fermion fields are localized on a brane. We study dynamical chiral symmetry breaking on a 2-brane and a 1-brane in reduced QED_{3+1}, and on a 1-brane in reduced QED_{2+1}. Since, unlike higher dimensional gauge theories, QED_{3+1} and QED_{2+1} are well defined, their reduced versions can serve as a laboratory for studying dynamics in a higher dimensional brane world. The analysis of the Schwinger-Dyson (SD) equations in these theories reveals rich and quite nontrivial dynamics in which the conformal symmetry and its breakdown play a crucial role. Explicit solutions of the SD equations in the near-critical regime are obtained and the character of the corresponding phase transition is described.

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