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.
","abstract_html":"<p>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<sub><em>/mheavy</em></sub> 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 <strong>θ</strong>{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 <strong>θ</strong>{4}{4} model are calculated from the finite parts of the Greens functions.</p>","abstract_has_math":false,"creators":["Hersh, Jeffrey M."],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Anatoly Radyushkin","Lawrence B. Weinstein","Leposava Vuskovic","Ian Balitsky","Karl H. Schoenbach"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1997,"date_issued":"1997-07-01T07:00:00Z","date_published":"1997-07-01T07:00:00Z","updated_at":"2026-07-24T03:34:18Z","subjects":["Supersymmetry","Field theories","Operator theory","Elementary Particles and Fields and String Theory","Nuclear"],"languages":[],"rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
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"]},{"key":"dc:title","label":"Title","values":["The Use of Operator Regularization in the Computation of Effective Field Theories"]}]}],"canonical_facts":{"dc:contributor":["Anatoly Radyushkin","Lawrence B. Weinstein","Leposava Vuskovic","Ian Balitsky","Karl H. Schoenbach"],"dc:creator":["Hersh, Jeffrey M."],"dc:date.available":["2019-02-21T08:00:00Z"],"dc:description.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.
"],"dc:identifier":["9780591603835","https://digitalcommons.odu.edu/physics_etds/64"],"dc:rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
"],"dc:subject":["Supersymmetry","Field theories","Operator theory","Elementary Particles and Fields and String Theory","Nuclear"],"dc:title":["The Use of Operator Regularization in the Computation of Effective Field Theories"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:34:18Z"}