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The Skyrme model and chiral perturbation theory

2016/12/21 by Harland, Derek
#70S20 #81V35 #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.1612.07259

Abstract

A lagrangian which describes interactions between a soliton and a background field is derived for sigma models whose target is a symmetric space. The background field modifies the usual moduli space approximation to soliton dynamics in two ways: by introducing a potential energy, and by inducing a Kaluza-Klein metric on the moduli space. In the particular case of the Skyrme model, this lagrangian is quantised and shown to agree with the leading pion-nucleon term in the chiral effective lagrangian, which is widely used in theoretical nuclear physics. Thus chiral perturbation theory could be considered a low energy limit of the Skyrme model.

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