4D Topological Mass by Gauging Spin

Abstract

We propose a spin gauge field theory in which the curl of a Dirac fermion current density plays the role of the pseudovector charge density. In this field-theoretic model, spin interactions are mediated by a single scalar gauge boson in its antisymmetric tensor formulation. We show that these long range spin interactions induce a gauge invariant photon mass in the one-loop effective action. The fermion loop generates a coupling between photons and the spin gauge boson, which acquires thus charge. This coupling represents also an induced, gauge invariant, topological mass for the photons, leading to the Meissner effect. The one-loop effective equations of motion for the charged spin gauge boson are the London equations. We propose thus spin gauge interactions as an alternative, topological mechanism for superconductivity in which no spontaneous symmetry breaking is involved.

4 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1310.2103

References in corpus (8)

• Spin-orbit coupling in quantum gases
• Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
• Canonical BF-type Topological Field Theory and Fractional Statistics of Strings
• Topological Mass Generation in Four Dimensions
• Superconductors with Topological Order
• Induced $B\wedge F$ term and photon mass generation in 3+1 dimensions
• From topological insulators to superconductors and Confinement
• Gauge Invariant Photon Mass Induced by Vortex Gauge Interactions

Cited by in corpus (8)

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• Meissner effect and a stringlike interaction
• Hamiltonian Formalism of Topologically Massive Electrodynamics
• Spin gauge theory, duality and fermion pairing
• Remarks on a $B\wedge F$ model with topological mass from gauging spin
• Quantizing a Non-locally Massive 2-form Model
• Fermion-Vortex Interactions in Axion Electrodynamics
• Mass Generation in Abelian U(1) Gauge Theories: A Rich Network of Dualities