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

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.

18 pages, phyzzx

References in corpus (4)

• Light-Front QCD: Role of Longitudinal Boundary Integrals
• Residual Gauge Fixing in Light-Front QCD
• (Constrained) Quantization Without Tears
• Parity and Front-Form Quantization of Field Theories

Cited by in corpus (2)

• Application of the Faddeev-Jackiw formalism to the gauged WZW model
• The complete Faddeev-Jackiw treatment of the $U_{EM}(1)$ gauged SU(2) WZW model