Parity-Conserving Light-Cone Quantization of Quantum Field Theories

TL;DR

This paper introduces a novel light-cone quantization method for quantum field theories that preserves parity and time-reversal symmetries by treating both light-cone coordinates as 'times,' making both momenta dynamical.

Contribution

It proposes a new quantization approach on the light-cone that maintains parity and time-reversal invariance, addressing longstanding issues in light-cone quantization.

Findings

Both $P^{-}$ and $P^{+}$ become dynamical in the new framework

The method preserves parity and time-reversal symmetries

Addresses parity violation problems in traditional light-cone quantization

Abstract

Parity violation is a long standing problem in light-cone quantization. \REF\CPT{D. Soper, SLAC-REP-137, 1970, Chap. I . } \refend We propose a new quantization on the light-cone which treats both the $x^{+}$ and the $x^{-}$ coordinates as light-cone 'times.'This quantization respects both parity and time-reversal. We find that now both $P^{-}$ and $P^{+}$ become dynamical.