Probing Hamiltonian field redefinition on the nontrivial conformal algebra

TL;DR

This paper investigates how Hamiltonian field redefinitions affect the conformal algebra in nonlinear sigma models, ensuring consistency with conformal symmetry and identifying anomalies through a Hamiltonian quantization approach.

Contribution

It introduces a Hamiltonian-based method for analyzing conformal symmetry and anomalies, providing a novel perspective beyond traditional path-integral approaches.

Findings

Conformal algebra closure is compatible with Hamiltonian field redefinitions.

The approach reproduces the conventional conformal anomaly results.

The method offers an intuitive quantization framework for nonlinear sigma models.

Abstract

The compatibility between the conformal symmetry and the closure of conformal algebras is discussed on the nonlinear sigma model. The present approach, above the basis of field redefinition employed in the Hamiltonian scheme, attempts the method of quantisation with intuitive picture. As a general field theoretic treatment, the consistency is ensured by means of the interesting features which are observed in the historical studies for the gauge-invariant conformal symmetry. The identification of conformal anomaly is also shown coincident with the conventional one approached within the path-integral formulation.