https://doi.org/10.1140/epjc/s10052-023-11563-2
Regular Article - Theoretical Physics
Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory
The Institute for Fundamental Study, Naresuan University, 65000, Phitsanulok, Thailand
Received:
15
September
2022
Accepted:
30
April
2023
Published online:
18
May
2023
We propose a possible modification to the tensionless string model with contact interactions. The proposed model aims to reproduce the expectation value of a non-Abelian Wilson loop in Yang–Mills theory by integrating out string degrees of freedom with a fixed worldsheet boundary. To reproduce path-ordering along the worldsheet boundary, we introduce Lie algebra-valued fields on the string worldsheet, whose dynamics are determined by the topological BF action. Without bulk contributions, we show that the model describes the non-Abelian Wilson loop, neglecting the effects of self-interactions. Finally, we test the reproduction of the Wilson loop with three-point interaction in the case of SU(2).
© The Author(s) 2023
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