The geometric background-field method, renormalization and the Wess-Zumino term in non-linear σ-models

Mukhi, Sunil (1986) The geometric background-field method, renormalization and the Wess-Zumino term in non-linear σ-models Nuclear Physics - Section B: Particle Physics, Field Theory and Statistical Systems, Physical Mathematics, 264 . pp. 640-652. ISSN 0550-3213

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/055032...

Related URL: http://dx.doi.org/10.1016/0550-3213(86)90502-X

Abstract

A simple recursive algorithm is presented which generates the reparametrization-invariant background-field expasion for non-linear σ-models on manifolds with an arbitrary riemannian metric. The method is also applicable to Wess-Zumino terms and to counterterms. As an example, the general-metric model is expanded to sixth order and compared with previous results. For locally symmetric spaces, we actually obtain a general formula for the nth order term. The method is shown to facilitate the study of models with Wess-Zumino terms. It is demonstrated that, for chiral models, the Wess-Zumino term is unrenormalized to all orders in perturbation theory even when the model is not conformally invariant.

Item Type:Article
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ID Code:20846
Deposited On:20 Nov 2010 13:28
Last Modified:20 Nov 2010 13:28

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