A New Approach to Lower Dimensional Gauge Theories

Abstract

We apply the method of differential renormalization to two and three dimensional abelian gauge theories. The method is especially well suited for these theories as the problems of defining the antisymmetric tensor are avoided and the calculus involved is impressively simple. The topological and dynamical photon masses are obtained.

8 pag. in Latex

References in corpus (3)

• Conformal Symmetry and Differential Regularization of the Three-Gluon Vertex
• Differential Renormalization of Massive Quantum Field Theories
• Differential Renormalization of the Wess-Zumino Model

Cited by in corpus (11)

• Techniques for one-loop calculations in constrained differential renormalization
• Understanding Radiatively Induced Lorentz-CPT Violation in Differential Regularization
• Constraining differential renormalization in abelian gauge theories
• Supergravity corrections to $(g-2{)}_l$ in differential renormalization
• A Cutoff Procedure and Counterterms for Differential Renormalization
• Differential Regularization of Chern-Simons-Maxwell Spinor and Scalar Electrodynamics
• On the equivalence between Implicit Regularization and Constrained Differential Renormalization
• Differential Regularization of Topologically Massive Yang-Mills Theory and Chern-Simons Theory
• Ultraviolet and Infrared Divergences in Implicit Regularization: a Consistent Approach
• Two-dimensional Chiral Anomaly in Differential Regularization
• Advances towards the systematization of calculations with Implicit Regularization