Higgs mechanism for Kalb-Ramond gauge field

1989/11/15 by Soo-Jong Rey · 2 voices · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions

paper · doi:10.1103/physrevd.40.3396

Abstract

Kalb-Ramond gauge field theory, coupled to manifestly gauge-invariant and reparametrization-invariant second-quantized string fields, is studied. String condensation into the vacuum is shown to develop masses to the Kalb-Ramond gauge field which we call the string Higgs mechanism. In case the Kalb-Ramond field couples to the open strings which have a massless vector field in the spectrum, our field theory also exhibits the well-known Stueckelberg mechanism. To strengthen our conclusion, we construct a lattice version of the above string field theory and demonstrate that the mean-field approximation indicates the existence of the Higgs phase.

Cited by

• A Nonperturbative Proposal for Nonabelian Tensor Gauge Theory and Dynamical Quantum Yang-Baxter Maps
• Landau theory for lattice higher gauge theory and Kramers-Wannier duality
• Mean string field theory: Landau-Ginzburg theory for 1-form symmetries

Discussions

• One of the first examples of a 3-form field strength to appear in the literature was the one arising from the Kalb-Ramond gauge field in string theory. In this case, there is indeed a Higgs mechanism [stackexchange, 9 points]
• There is no trouble with coupling a $p$ -form gauge field to a $(p-1)$ -form Higgs field, see for example the discussion in Section 4.1 of my paper . We cite various references that have studied this, [stackexchange, 2 points]

Related

• THE STUECKELBERG FIELD
• Kalb–Ramond scalar QED multiple vacua
• Strings in Background Fields
• Stueckelberg and Higgs Mechanisms: Frames and Scales
• Higgs mechanism from fluxes and two mass hierarchies in the "fat" throat solution of Type IIA supegravity