Wilson Polynomials and the Lorentz Transformation Properties of the Parity Operator
Carl M. Bender, Peter N. Meisinger, and Qinghai Wang
TL;DR
This paper explores how the parity operator in parity-symmetric quantum field theories transforms under Lorentz transformations, revealing a connection with Wilson polynomials and their representation structure.
Contribution
It establishes a novel link between Wilson polynomials and the Lorentz transformation properties of the parity operator in quantum field theory.
Findings
Parity operator transforms as an infinite sum of Lorentz group irreducible representations.
Wilson polynomials are connected to the transformation properties of the parity operator.
Provides a mathematical framework for understanding parity operator behavior under Lorentz symmetry.
Abstract
The parity operator for a parity-symmetric quantum field theory transforms as an infinite sum of irreducible representations of the homogeneous Lorentz group. These representations are connected with Wilson polynomials.
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