The SU(2) Skyrme model and anomaly

TL;DR

This paper explores the quantization of the SU(2) Skyrme model embedded in a gauge theory, analyzing the Noether current anomaly using operator and path integral methods.

Contribution

It introduces a novel quantization approach for the gauge-embedded Skyrme model and compares two different anomaly calculation techniques.

Findings

The Noether current anomaly was successfully computed using both methods.

The gauge embedding clarifies the constraint structure of the Skyrme model.

Comparison of operator and path integral methods provides insights into anomaly calculation.

Abstract

The SU(2) Skyrme model,expanding in the collective coordinates variables, gives rise to second-class constraints. Recently this system was embedded in a more general Abelian gauge theory using the BFFT Hamiltonian method. In this work we quantize this gauge theory computing the Noether current anomaly using for this two different methods: an operatorial Dirac first class formalism and the non-local BV quantization coupled with the Fujikawa regularization procedure.