Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization

Abstract

Modifications of the electromagnetic Maxwell Lagrangian in four dimensions have been considered by some authors. One may include an explicit massive term (Proca) and a topological but not Lorentz-invariant term within certain observational limits. We find the dual-corresponding gauge invariant version of this theory by using the recently suggested gauge embedding method. We enforce this dualisation procedure by showing that, in many cases, this is actually a constructive method to find a sort of parent action, which manifestly establishes duality. We also use the gauge invariant version of this theory to formulate a Batalin-Vilkovisky quantization and present a detailed discussion on the excitation spectrum.

8 pages

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Cited by in corpus (24)

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• The Cherenkov effect in Lorentz-violating vacua
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
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• A Unified Approach to Variational Derivatives of Modified Gravitational Actions
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