Date of Award

Summer 1997

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Physics

Committee Director

Anatoly Radyushkin

Committee Member

Lawrence B. Weinstein

Committee Member

Leposava Vuskovic

Committee Member

Ian Balitsky

Committee Member

Karl H. Schoenbach

Abstract

Current methods of computing low-energy effective field theories while being accurate are extremely cumbersome co implement. Operator regularization provides a way to calculate any desired effective field theory avoiding the tediousness of previous methods. This technique is shown to be an effective method in explicitly calculating the 1/mheavy corrections that match an original full theory to its low-energy effective counterpart. This is demonstrated up to two loop order for the case of a charged two field θ{4}{4} theory as well as up to one loop order for the Higgs sector of the Minimal Supersymmetric Model. Additionally, the renormalization group functions for the θ{4}{4} model are calculated from the finite parts of the Greens functions.

DOI

10.25777/41ce-2717

ISBN

9780591603835

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