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Effective Lagrangian for non-Abelian two-dimensional topological field theory

Srisangyingcharoen, Pongwit; Mansfield, Paul

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Authors

Paul Mansfield



Abstract

We develop a systematic approach to obtain an effective Lagrangian for 2D non-Abelian topological BF theory. A general expression is presented in a diagrammatic representation containing solely scalar fields. Expressions for the and effective actions are explicitly stated. In the case of , we show that the effective action can be interpreted as a winding number. By using the effective action, the partition function on a sphere for Yang-Mills theory is calculated. Moreover, we generalise the theory to include a source term for the gauge field as well as calculate the vacuum expectation value of the Wilson loop based on the effective theory.

Citation

Srisangyingcharoen, P., & Mansfield, P. (2022). Effective Lagrangian for non-Abelian two-dimensional topological field theory. Nuclear Physics B, 980(115798), Article 115798. https://doi.org/10.1016/j.nuclphysb.2022.115798

Journal Article Type Article
Acceptance Date Apr 19, 2022
Online Publication Date Apr 21, 2022
Publication Date 2022
Deposit Date Jun 28, 2022
Publicly Available Date Jun 28, 2022
Journal Nuclear Physics B
Print ISSN 0550-3213
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 980
Issue 115798
Article Number 115798
DOI https://doi.org/10.1016/j.nuclphysb.2022.115798

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