The Conformal Points of the Generalized Thirring Model II

TL;DR

This paper investigates the conditions for conformal invariance in the generalized Thirring model at large N, using two approaches and analyzing the algebraic structure and stress tensor representation.

Contribution

It derives conformal invariance conditions using background field and Hamiltonian methods, and provides a free field algebra representation for the model.

Findings

Conditions for conformal invariance are established.

Agreement between the two analytical approaches is demonstrated.

A free field representation of the algebra is constructed.

Abstract

In the large N limit, conditions for the conformal invariance of the generalized Thirring model are derived, using two different approaches: the background field method and the Hamiltonian method based on an operator algebra, and the agreement between them is established. A free field representation of the relevant algebra is presented, and the structure of the stress tensor in terms of free fields (and free currents) is studied in detail.