{"id":{"repo_id":"south-carolina","oai_identifier":"oai:scholarcommons.sc.edu:etd-2745"},"canonical_url":"https://search.dev.ndltd.org/etd/south-carolina/oai:scholarcommons.sc.edu:etd-2745","repository":{"repo_id":"south-carolina","name":"University of South Carolina","base_url":"https://scholarcommons.sc.edu/do/oai/"},"display":{"title":"Radiative Corrections to and Connections Among Theories With Lorentz Violation and Time-Varying Couplings","abstract":"<p>Different models containing Lorentz violation are studied in order to explore possible new physics beyond the standard model. In the electromagnetic sector, a time-variation in the fine structure constant &alpha is studied as a possible mechanism to generate Lorentz, CPT and gauge symmetry violations in quantum electrodynamics. The vacuum polarization diagram and fermion self-energy are studied in order to study the consequences of a time-varying &alpha on photon and fermion propagation. </p> <p> In the weak sector, light curves of type Ia supernovae---which decay at a rate set by the &beta-decay lifetimes of the <super>56</super>Ni and <super>56</super>Co produced in the explosion---are analyzed as a possible way to test any time variation in the Fermi constant G<sub>F</sub>, which governs the strength of weak interactions at low energies. </p> <p>Finally, a theory of scalar and spinor fields, interacting through Yukawa and &phi<super>4</super> interactions, with Lorentz-violating operators included in the Lagrangian is considered. The leading quantum corrections in this theory are computed, showing the renormalizability of the theory at the leading order. In the pure scalar sector, the calculations can be generalized to higher orders and to include finite terms, because the theory can be solved in terms of its Lorentz-invariant version.</p>","abstract_html":"&lt;p&gt;Different models containing Lorentz violation are studied in order to explore possible new physics beyond the standard model. In the electromagnetic sector, a time-variation in the fine structure constant &amp;alpha is studied as a possible mechanism to generate Lorentz, CPT and gauge symmetry violations in quantum electrodynamics. The vacuum polarization diagram and fermion self-energy are studied in order to study the consequences of a time-varying &amp;alpha on photon and fermion propagation. &lt;/p&gt; &lt;p&gt; In the weak sector, light curves of type Ia supernovae---which decay at a rate set by the &amp;beta-decay lifetimes of the &lt;super&gt;56&lt;/super&gt;Ni and &lt;super&gt;56&lt;/super&gt;Co produced in the explosion---are analyzed as a possible way to test any time variation in the Fermi constant G&lt;sub&gt;F&lt;/sub&gt;, which governs the strength of weak interactions at low energies. &lt;/p&gt; &lt;p&gt;Finally, a theory of scalar and spinor fields, interacting through Yukawa and &amp;phi&lt;super&gt;4&lt;/super&gt; interactions, with Lorentz-violating operators included in the Lagrangian is considered. The leading quantum corrections in this theory are computed, showing the renormalizability of the theory at the leading order. In the pure scalar sector, the calculations can be generalized to higher orders and to include finite terms, because the theory can be solved in terms of its Lorentz-invariant version.&lt;/p&gt;","abstract_has_math":false,"creators":["Ferrero, Alejandro"],"institution":null,"degree_name":"Ph.D.","degree_level":"Campus Access Dissertation","degree_discipline":"Physics and Astronomy","degree_department":null,"school":null,"contributors":["Brett David Altschul"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-01T08:00:00Z","date_published":"2011-01-01T08:00:00Z","updated_at":"2026-07-24T04:37:34Z","subjects":["Physical Sciences and Mathematics","Physics","Lorentz and CPT Symmetries","Renormalization","Standard Model Extension","Varying Constants"],"languages":[],"rights":["© 2011, Alejandro Ferrero"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/1744","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Brett David Altschul"]},{"key":"dc:creator","label":"Author","values":["Ferrero, Alejandro"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics and Astronomy"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physical Sciences and Mathematics","Physics","Lorentz and CPT Symmetries","Renormalization","Standard Model Extension","Varying Constants"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2011, Alejandro Ferrero"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/1744"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>Different models containing Lorentz violation are studied in order to explore possible new physics beyond the standard model. In the electromagnetic sector, a time-variation in the fine structure constant &alpha is studied as a possible mechanism to generate Lorentz, CPT and gauge symmetry violations in quantum electrodynamics. The vacuum polarization diagram and fermion self-energy are studied in order to study the consequences of a time-varying &alpha on photon and fermion propagation. </p> <p> In the weak sector, light curves of type Ia supernovae---which decay at a rate set by the &beta-decay lifetimes of the <super>56</super>Ni and <super>56</super>Co produced in the explosion---are analyzed as a possible way to test any time variation in the Fermi constant G<sub>F</sub>, which governs the strength of weak interactions at low energies. </p> <p>Finally, a theory of scalar and spinor fields, interacting through Yukawa and &phi<super>4</super> interactions, with Lorentz-violating operators included in the Lagrangian is considered. The leading quantum corrections in this theory are computed, showing the renormalizability of the theory at the leading order. In the pure scalar sector, the calculations can be generalized to higher orders and to include finite terms, because the theory can be solved in terms of its Lorentz-invariant version.</p>"]},{"key":"dc:title","label":"Title","values":["Radiative Corrections to and Connections Among Theories With Lorentz Violation and Time-Varying Couplings"]}]}],"canonical_facts":{"dc:contributor":["Brett David Altschul"],"dc:creator":["Ferrero, Alejandro"],"dc:description.abstract":["<p>Different models containing Lorentz violation are studied in order to explore possible new physics beyond the standard model. In the electromagnetic sector, a time-variation in the fine structure constant &alpha is studied as a possible mechanism to generate Lorentz, CPT and gauge symmetry violations in quantum electrodynamics. The vacuum polarization diagram and fermion self-energy are studied in order to study the consequences of a time-varying &alpha on photon and fermion propagation. </p> <p> In the weak sector, light curves of type Ia supernovae---which decay at a rate set by the &beta-decay lifetimes of the <super>56</super>Ni and <super>56</super>Co produced in the explosion---are analyzed as a possible way to test any time variation in the Fermi constant G<sub>F</sub>, which governs the strength of weak interactions at low energies. </p> <p>Finally, a theory of scalar and spinor fields, interacting through Yukawa and &phi<super>4</super> interactions, with Lorentz-violating operators included in the Lagrangian is considered. The leading quantum corrections in this theory are computed, showing the renormalizability of the theory at the leading order. In the pure scalar sector, the calculations can be generalized to higher orders and to include finite terms, because the theory can be solved in terms of its Lorentz-invariant version.</p>"],"dc:identifier":["https://scholarcommons.sc.edu/etd/1744"],"dc:rights":["© 2011, Alejandro Ferrero"],"dc:subject":["Physical Sciences and Mathematics","Physics","Lorentz and CPT Symmetries","Renormalization","Standard Model Extension","Varying Constants"],"dc:title":["Radiative Corrections to and Connections Among Theories With Lorentz Violation and Time-Varying Couplings"],"thesis:degree_discipline":["Physics and Astronomy"],"thesis:degree_level":["Campus Access Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-24T04:37:34Z"}