Massless Pseudoscalar Fields and Solution of the Federbush Model

TL;DR

This paper explores the solvability of the Federbush model using massless pseudoscalar fields, revealing their fundamental role and clarifying the model's phase factors and Schwinger terms.

Contribution

It introduces a novel approach by applying dynamical mappings and massless pseudoscalar fields to solve the Federbush model more insightfully.

Findings

Identifies the key role of massless pseudoscalar fields in the model's solvability

Provides a clearer understanding of phase factors in the model's solutions

Elucidates the meaning of Schwinger terms in this context

Abstract

The formal Heisenberg equations of the Federbush model are linearized and then are directly integrated applying the method of dynamical mappings. The fundamental role of two-dimensional free massless pseudo-scalar fields is revealed for this procedure together with their locality condition taken into account. Thus the better insight into solvability of this model is obtained together with the additional phase factor for its general solution, and the meaning of the Schwinger terms is elucidated.