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Holonomy and the Wess-Zumino term

✍ Scribed by A. L. Carey; M. K. Murray


Publisher
Springer
Year
1986
Tongue
English
Weight
227 KB
Volume
12
Category
Article
ISSN
0377-9017

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✦ Synopsis


The concept ofa holonomy term in a Lagrangian is introduced. It unifies the idea of the interaction term in the Dirac monopole and the Wess-Zumino term. In particular, it provides a dynamical interpretation of the Kac-Moody cocycle on a loop group.

0. Introduction

In this Letter we describe the concept of a holonomy term in a Lagrangian. This unifies the idea of the interaction term in the Dirac monopole and the Wess-Zumino terms as described by Witten. In particular, it provides a dynamical interpretation of the K a c -M o o d y cocycle on a loop group.


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Recently, Kovner and Lublinsky proposed new small-x QCD evolution equations valid when the gluon density inside the target is low. The key element of their construction is the Wess-Zumino term which ensures the non-commutativity of valence charges. In this paper we clarify the origin and significanc