Some topological aspects in Gauge theories: Singlet chiral anomaly and fractional fermion number
This work studies two physical effects derived from considering topological solutions to gauge theories. In particular, for the case of euclidean solutions (instantons), we analyze the singlet chiral anomaly, while for the solutions in Minkowski space (solitons), we clarify the link between kinks an...
- Autores:
-
Morales Castellanos, Juan Sebastián
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2022
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/54586
- Acceso en línea:
- http://hdl.handle.net/1992/54586
- Palabra clave:
- Quantum field theory
Gauge theory
Instanton
Soliton
Differential geometry
Fermiones
Quiralidad
Física
Matemáticas
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
| Summary: | This work studies two physical effects derived from considering topological solutions to gauge theories. In particular, for the case of euclidean solutions (instantons), we analyze the singlet chiral anomaly, while for the solutions in Minkowski space (solitons), we clarify the link between kinks and fractional fermion number. Additionally, we present a review on the geometry of gauge theories, a discussion on the Fujikawa method for anomalies in the light of the Atiyah-Singer index theorem, and an investigation of the QCD vacua structure. |
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