Chiral anomalies and the Atiyah-Singer index theorem

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Cavalcanti, G.R.
dc.contributor.advisor	Laenen, E.L.M.P.
dc.contributor.author	Salm, W.A.
dc.date.accessioned	2018-07-20T17:02:12Z
dc.date.available	2018-07-20T17:02:12Z
dc.date.issued	2018
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/29725
dc.description.abstract	Symmetries and their corresponding conservation laws are useful tools in par- ticle physics. However some laws are violated when we they are extended in quantum field theory. In this thesis we review the chiral symmetry and we show its anomalous behaviour in perturbation theory and in the path integral formal- ism. The last method is related to the heat kernel proof of the Atiyah-Singer index theorem for Dirac operators. By extensively reviewing this proof we cal- culate the anomalous behaviour of the chiral symmetry in curved spacetime.
dc.description.sponsorship	Utrecht University
dc.format.extent	1467271
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	Chiral anomalies and the Atiyah-Singer index theorem
dc.type.content	Master Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Anomalies, Chiral anomalies, Fujikawa method, Feynman diagrams, regularization, Atiyah, Singer, index theorem, heat kernel, symbol calculus, McKean, Getzler
dc.subject.courseuu	Mathematical Sciences