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Symmetry Breaking By Massive Fermions Under Sugimoto S-Duality / HENRY HARPER-GARDNER
Swansea University Author: HENRY HARPER-GARDNER
Abstract
In this project we investigate the behaviour of strongly coupled gauge theories with massive fermion fields under the S-duality proposed by Sugimoto [1]. In the massless case described by Sugimoto we see that the highly non-trivial dynamics of the fermion fields corresponds directly to the behaviour o...
| Published: |
Swansea
2023
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| Institution: | Swansea University |
| Degree level: | Master of Research |
| Degree name: | MSc by Research |
| Supervisor: | Armoni, Adi ; Thompson, Dan |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa62700 |
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| Abstract: |
In this project we investigate the behaviour of strongly coupled gauge theories with massive fermion fields under the S-duality proposed by Sugimoto [1]. In the massless case described by Sugimoto we see that the highly non-trivial dynamics of the fermion fields corresponds directly to the behaviour of a schematic scalar potential in the S-dual theory, which shows very clear global and gauge symmetry breaking as expected in the initial theory. We induce mass terms for the scalar and fermion fields by coupling the underlying string theory to a supergravity background and show that this preserves a subgroup of the global symmetry and lifts the vacuum degeneracy of the scalar potential in the S-dual side. Furthermore, we derive relations between the flux induced fermion masses to the masses induced in the Nambu-Goldstone modes of the S-dual scalar potential in an analogous way to the GMOR relation known from QCD. In this way we demonstrate a formal relation which is consistent with present QCD theory which derives from Sugimoto’s duality, as well as providing a proof of concept for an insightful analytical tool for non-SUSY gauge theories. |
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| Keywords: |
D-Branes, QCD, Nuclear, String Theory, Gauge Theory, GMOR, Quark Mass |
| College: |
Faculty of Science and Engineering |