## Abstract

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)_{jμ}(^{Aμ} + ^{∂μ}B) where B is an auxiliary field and _{jμ} 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 ^{∂μ}φ_{jμ} = 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 language | English |
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Pages (from-to) | 245-248 |

Number of pages | 4 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 734 |

DOIs | |

State | Published - 27 Jun 2014 |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics