Theory and application of chiral anomalies in quantum field theory

dc.contributor.advisorKilic, Can
dc.creatorRodriguez, Kevin P.
dc.date.accessioned2024-03-26T23:47:34Z
dc.date.available2024-03-26T23:47:34Z
dc.date.created2023-12
dc.date.issued2023-12
dc.date.submittedDecember 2023
dc.date.updated2024-03-26T23:47:35Z
dc.description.abstractIn this thesis we investigate both the theoretical mechanism by which chiral anomalies arise in quantum field theories, as well as their implications for physical observables. In Chapter 1, we set the stage by providing a brief historical account of the so-called PCAC (partially conserved axial current) puzzle and the theoretical work which spawned from the observed anomalous decay of the π⁰ to two photons. Chapter 2 is dedicated to developing the necessary formalism and theoretical tools– namely the effects of symmetry transformations and their associated Noether currents. The path integral formalism is introduced and the U(1) [subscript A] anomaly is derived in detail by studying the noninvariance of the measure. In Chapter 3, we introduce the effective chiral Lagrangian of QCD to investigate the dynamics of the meson nonet. We apply our results from Chapter 2 in calculating the width Γ [subscript η′→γγ], and consequently the lifetime τ [subscript η′→γγ] to leading order. We report that our derived expressions yield numerical values of Γ [subscript η′→γγ] = (0.0037 ± 0.0003)MeV and τ [subscript η′→γγ] = (1.78 ± 0.03) × 10⁻¹⁹ s. Our results lie within 2σ of the experimental values reported by the Particle Data Group.
dc.description.departmentPhysics
dc.format.mimetypeapplication/pdf
dc.identifier.uri
dc.identifier.urihttps://hdl.handle.net/2152/124455
dc.identifier.urihttps://doi.org/10.26153/tsw/51063
dc.language.isoen
dc.subjectEta prime
dc.subjectChiral anomalies
dc.subjectQuantum field theory
dc.subjectEffective field theory
dc.subjectAxial anomalies
dc.titleTheory and application of chiral anomalies in quantum field theory
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentPhysics
thesis.degree.grantorThe University of Texas at Austin
thesis.degree.nameMaster of Arts
thesis.degree.programGraduate, Physics

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