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Renormalization in Field Theories
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)Student paper other, 10 HE creditsStudent thesis
Abstract [en]

Several different approaches to renormalization are studied. The Callan-Symanzik equation is derived and we study its beta functions. An effective potential for the Coleman-Weinberg model is studied to find that the beta function is positive and that spontaneous symmetry breaking will occur if we expand around the classical field. Lastly we renormalize a non-abelian gaugetheory to find that the beta function in QCD is negative.

Place, publisher, year, edition, pages
2015. , 49 p.
Keyword [en]
renormalization in field theories, renormalization, quantum field theories, quantum field theory, quantum mechanics, quantum physics, quantum, physics, mechanics, field theory, theory, theories, fields, field, regularization, dimensional regularization, dimensional, perturbative, perturbative renormalization, wilsonian approach, wilsonian, approach, momentum cutoff, momentum, cutoff, callan, symanzik, equation, callan symanzik equation, coleman, weinberg, model, potential, effective, coleman-weinberg potential, beta function, beta, non abelian, gauge, non abelian gauge theory, non abelian gauge theories, qed, quantum electrodynamics, electrodynamics, qcd, quantum chromodynamics, chromodynamics
National Category
Other Physics Topics
URN: urn:nbn:se:uu:diva-251561OAI: oai:DiVA.org:uu-251561DiVA: diva2:806527
Educational program
Master Programme in Physics
Available from: 2015-05-08 Created: 2015-04-20 Last updated: 2015-05-08Bibliographically approved

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