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

Srisangyingcharoen, Pongwit; Mansfield, Paul

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
• Electronic ISSN: 1873-1562
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 980
• Issue: 115798
• Article Number: 115798
• DOI: https://doi.org/10.1016/j.nuclphysb.2022.115798
• Public URL: https://durham-repository.worktribe.com/output/1202897