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Gauge Theory as a String Theory in The Infinite and Zero Tension Limits

SRISANGYINGCHAROEN, PONGWIT (2021) Gauge Theory as a String Theory in The Infinite and Zero Tension Limits. Doctoral thesis, Durham University.

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We investigate formulations of Yang-Mills theory as a string theory in zero and infinite tension limits. For the infinite tension case, a small Regge slope expansion of open bosonic string scattering amplitudes is performed. The leading order term is precisely the Yang-Mills amplitude plus string corrections. We explore monodromy relations among open string scattering amplitudes and their field theory counterparts. Diagrams regarding to these identities, namely Plahte diagrams, are studied. For the tensionless limit, the Yang-Mills theory is described by electric lines of force which can be interpreted as the theory of strings with contact interactions. Both theories agree with each other at the level of the expectation of Wilson loop. To address a non-Abelian theory, the string model is modified by introducing a scalar field into the worldsheet whose dynamics takes the form of the topological BF action. We further analyse an effective action of the BF theory and its connection to the two-dimensional Yang-Mills theory.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:Gauge theory, Non-Abelian Yang-Mills theory, Bosonic string, Topological field theory
Faculty and Department:Faculty of Science > Mathematical Sciences, Department of
Thesis Date:2021
Copyright:Copyright of this thesis is held by the author
Deposited On:10 Jan 2022 09:26

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