Geometrodynamical description of two-dimensional electrodynamics

Abstract

Two-dimensional pure electrodynamics is mapped into two-dimensional gravity in the first order formalism at classical and quantum levels. Due to the fact that the degrees of freedom of these two theories do not match, we are enforced to introduce extra fields from the beginning. These fields are introduced through a BRST exact boundary term, so they are harmless to the physical content of the theory. The map between electromagnetism and gravity fields generate a non-trivial Jacobian, which brings extra features (but also harmless to the physical content of the gravity theory) at quantum level.

14 pages. No figures. Final version to be published in the Europhysics Letters

References in corpus (5)

• The electronic properties of graphene
• The $8Pmmn$ borophene sheet: A solid-state platform for space-time engineering
• Effective gravity from a quantum gauge theory in Euclidean space-time
• Is classical reality completely deterministic?
• Constrained gauge-gravity duality in three and four dimensions

Cited by in corpus (1)

• Homological aspects of topological gauge-gravity equivalence