Induced $B\wedge F$ term and photon mass generation in 3+1 dimensions

Abstract

Analysing a 3+1 dimensional model with four-Fermi interactions, we show that topological $\BF$ terms (both abelian and non-abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a mechanism of photon (or non-abelian gauge field) mass generation distinct from the usual Higgs mechanism, through the $\BF$ term, is also implemented in the long-distance effective action of this model, provided a gap equation is satisfied.

arXiv comment13 pages, UdeM-LPN-TH-162, CRM-1916

Cited by in corpus (16)

• Duality and Massive Gauge Invariant Theories
• Dualization of non-Abelian BF model
• Quantum Gauge Freedom in Very Special Relativity
• 4D Topological Mass by Gauging Spin
• Topologically Massive Spin-1 Particles and Spin-Dependent Potentials
• Gauge Invariant Photon Mass Induced by Vortex Gauge Interactions
• Field redefinitions and massive BF models in arbitrary space-time dimensions
• Gauge Vector Masses from Flat Connections?
• Hamiltonian Formalism of Topologically Massive Electrodynamics
• Some results on topological currents in field theory
• $B\wedge F$ Term by Spontaneous Symmetry Breaking in a generalized Abelian Higgs Model
• Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity
• Derivative four-fermion model, effective action and bumblebee generation
• Consistent deformations method applied to a topological coupling of antisymmetric gauge fields in D=3
• Quantizing a Non-locally Massive 2-form Model
• Generation of Carroll-Field-Jackiw term in the Functional Integral approach within Horava-Lifshitz $z=3$ CPT-violating QED