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Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED

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arxiv hep-ph/0105059 v3 pith:V5N2XMTU submitted 2001-05-07 hep-ph hep-th

Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED

classification hep-ph hep-th
keywords branereducedtheoriesgaugesymmetrybreakingchiraldimensional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Landau-Khalatnikov-Fradkin Transformations in Reduced Quantum Electrodynamics: Perturbative and Nonperturbative Dynamics of the Fermion Propagator

    hep-th 2026-05 unverdicted novelty 6.0

    LKF transformations give all-order gauge-transformed fermion propagators in RQED, with ξ=1/3 eliminating one-loop leading logs and numerical checks confirming gauge-invariant condensate and pole mass.