Issue |
EPL
Volume 139, Number 6, September 2022
|
|
---|---|---|
Article Number | 64002 | |
Number of page(s) | 7 | |
Section | Nuclear and plasma physics, particles and fields | |
DOI | https://doi.org/10.1209/0295-5075/ac8f6b | |
Published online | 22 September 2022 |
Geometrodynamical description of two-dimensional electrodynamics
UFF-Universidade Federal Fluminense, Instituto de Física - Av. Litorânea, s/n, 24210-346, Niterói, RJ, Brazil
(a) E-mail: rodrigo_sobreiro@id.uff.br (corresponding author)
Received: 2 August 2022
Accepted: 5 September 2022
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.
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