Very Special Relativity Models: Infrared Regularization and Loop Corrections
We review the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>i</mi><mi>m</mi><mo stretchy="false">(</mo><mn>2</mn><mo...
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MDPI AG
2025-06-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/6/441 |
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| author | Jorge Alfaro |
| author_facet | Jorge Alfaro |
| author_sort | Jorge Alfaro |
| collection | DOAJ |
| description | We review the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>i</mi><mi>m</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> invariant infrared regularization of Very Special Relativity models that we have proposed recently and apply it to compute loop corrections in quantum electrodynamics with VSR masses for neutrino and photon. Then, we compute the axial anomaly. Finally, we study the Gross–Neveu model with a VSR mass in the large <i>N</i> limit uncovering a new phase of the model. |
| format | Article |
| id | doaj-art-66beac80f72b4ebe9e97a0c4a1707ad7 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-66beac80f72b4ebe9e97a0c4a1707ad72025-08-20T02:24:18ZengMDPI AGAxioms2075-16802025-06-0114644110.3390/axioms14060441Very Special Relativity Models: Infrared Regularization and Loop CorrectionsJorge Alfaro0Facultad de Física, Pontificia Universidad Católica de Chile, Santiago 7820436, ChileWe review the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>i</mi><mi>m</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> invariant infrared regularization of Very Special Relativity models that we have proposed recently and apply it to compute loop corrections in quantum electrodynamics with VSR masses for neutrino and photon. Then, we compute the axial anomaly. Finally, we study the Gross–Neveu model with a VSR mass in the large <i>N</i> limit uncovering a new phase of the model.https://www.mdpi.com/2075-1680/14/6/441very special relativityinfrared regularizationanomalies |
| spellingShingle | Jorge Alfaro Very Special Relativity Models: Infrared Regularization and Loop Corrections Axioms very special relativity infrared regularization anomalies |
| title | Very Special Relativity Models: Infrared Regularization and Loop Corrections |
| title_full | Very Special Relativity Models: Infrared Regularization and Loop Corrections |
| title_fullStr | Very Special Relativity Models: Infrared Regularization and Loop Corrections |
| title_full_unstemmed | Very Special Relativity Models: Infrared Regularization and Loop Corrections |
| title_short | Very Special Relativity Models: Infrared Regularization and Loop Corrections |
| title_sort | very special relativity models infrared regularization and loop corrections |
| topic | very special relativity infrared regularization anomalies |
| url | https://www.mdpi.com/2075-1680/14/6/441 |
| work_keys_str_mv | AT jorgealfaro veryspecialrelativitymodelsinfraredregularizationandloopcorrections |