Consistent gauge interaction involving dynamical coupling and anomalous current

Eduardo Guendelman, Roee Steiner

Research output: Contribution to journalArticlepeer-review

Abstract

We show a possible way to construct a consistent formalism where the effective electric charge can change with space and time without destroying the gauge invariance. In the previous work1,2 we took the gauge coupling to be of the form g(Φ)jμ(Aμ + ∂μB) where B is an auxiliary field, Φ is a scalar field and the current jμ is the Dirac current. This term produces a constraint (∂μΦ)jμ = 0 which can be related to MIT bag model by boundary condition. In this paper, we show that when we use the term g(Φ)jμ(Aμ - ∂μ(1/〉∂ρAρ)), instead of the auxiliary field B, there is a possibility to produce a theory with dynamical coupling constant, which does not produce any constraint or confinement. The coupling jμA(Aμ - ∂μ(1/〉∂ρAρ)) where jμA is an anomalous current is also discussed.

Original languageEnglish
Article number1550177
JournalInternational Journal of Modern Physics A
Volume30
Issue number27
DOIs
StatePublished - 30 Sep 2015

Keywords

  • Dynamical coupling constants
  • anomalous currents
  • quotient spaces
  • zero norm states

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