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Quantization of Gauge Field Theories on the Front-Form without Gauge Constraints I : The Abelian Case

Ovid C. Jacob
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Abstract

Recently, we have proposed a new front-form quantization which treated both the $x^{+}$ and the $x^{-}$ coordinates as front-form 'times.' This quantization was found to preserve parity explicitly. In this paper we extend this construction to local Abelian gauge fields . We quantize this theory using a method proposed originally by Faddeev and Jackiw . We emphasize here the feature that quantizing along both $x^+$ and $x^-$ , gauge theories does not require extra constraints (also known as 'gauge conditions') to determine the solution uniquely.

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Ovid C. Jacob. 1993-11-03. Quantization of Gauge Field Theories on the Front-Form without Gauge Constraints I : The Abelian Case. https://doi.org/10.1103/physrevd.50.5289

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