Some results on topological currents in field theory

Abstract

A few exact results concerning topological currents in field theories are obtained. It is generally shown that, a topological charge can not generate any kind of symmetry transformation on the fields. It is also proven that, the existence of a charge that does not generate any kind of symmetry transformation on the fields, has to be of topological origin. As a consequence, it is found that in a given theory, superconductivity via Anderson-Higgs route can only occur if the gauge coupling with other fields is minimal. Several physical implications of these results are studied.

LaTeX2e, 20 pages, no figures. To appear in IJMPA

References in corpus (3)

• Fake Conformal Symmetry in Conformal Cosmological Models
• Chirped chiral solitons in nonlinear Schrödinger equation with self-steepening and self-frequency shift
• Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity

Cited by in corpus (3)

• Field theories with higher-group symmetry from composite currents
• Kink-like Solitons in Quantum Droplet
• Configurational entropy of generalized sine-Gordon-type models