Sur, Anubhab (2021) Anomalies in Gauge Theories. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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Text (MS Dissertation of Anubhab Sur (16MS164))
16MS164_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (474kB) |
Abstract
In this project report, we study anomalies in gauge theories from the perspectives of non-invariance of path integral measure and divergent triangle diagram computation. In particular, we study anomalies under global transformations as well as gauge transformations. The presence of the chirality matrix g5 plays a seminal role in anomalies, as will be evident. However, it is difficult to implement dimensional regularization in presence of g5 which is a problem. At the end of this article, we try to address this issue and study a few schemes for formulating dimensional regularization in presence of g5 and use these schemes to see if they can reproduce the results for the anomaly under chiral transformations.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Prof. V Ravindran (IMSc, Chennai); Prof. Biswarup Mukhopadhyaya (IISER Kolkata) |
| Uncontrolled Keywords: | Gauge Theories, Diagram Computation, Gauge Transformations, Chiral Transformations |
| Subjects: | Q Science > QC Physics |
| Divisions: | Department of Physical Sciences |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 22 Oct 2025 09:40 |
| Last Modified: | 22 Oct 2025 09:40 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/1869 |
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