Confining boundary conditions from dynamical coupling constants

E. I. Guendelman, R. Steiner

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is shown that it is possible to consistently and gauge invariantly formulate models where the coupling constant is a non-trivial function of a scalar field. In the U(1) case, the coupling to the gauge field contains a term of the form g(φ)( + ∂μB) where B is an auxiliary field and is the Dirac current. The scalar field φ determines the local value of the coupling of the gauge field to the Dirac particle. The consistency of the equations determines the condition ∂μφ = 0 which implies that the Dirac current cannot have a component in the direction of the gradient of the scalar field. As a consequence, if φ has a soliton behaviour, like defining a bubble that connects two vacua, we obtain that the Dirac current cannot have a flux through the wall of the bubble, defining a confinement mechanism where the fermions are kept inside those bags. Consistent models with time dependent fine structure constant can be also constructed.

Original languageEnglish
Pages (from-to)245-248
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - 27 Jun 2014

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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