Infrared Regularization of Very Special Relativity Models
We extend the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Sim</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inli...
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MDPI AG
2024-08-01
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| author | Jorge Alfaro |
| author_facet | Jorge Alfaro |
| author_sort | Jorge Alfaro |
| collection | DOAJ |
| description | We extend the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Sim</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inline-formula> invariant infrared regularization of Very Special Relativity models, that we have proposed recently, to include <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mn>5</mn></msub></semantics></math></inline-formula> Dirac matrix. Then, we solve the Very Special Relativity Schwinger model, find the chiral anomaly, and clarify its meaning in the new context. In addition, we show that the triangle anomaly in four space-time dimensions agrees with the same object in standard quantum electrodynamics. Finally, we apply the infrared regularization to compute the large N limit of the Very Special Relativity Gross–Neveu model. |
| format | Article |
| id | doaj-art-9b2079b84e2d4153adeb6cac37d7eea7 |
| institution | OA Journals |
| issn | 2218-1997 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-9b2079b84e2d4153adeb6cac37d7eea72025-08-20T01:55:53ZengMDPI AGUniverse2218-19972024-08-0110934810.3390/universe10090348Infrared Regularization of Very Special Relativity ModelsJorge Alfaro0Facultad de Física, Pontificia Universidad Católica de Chile, Santiago 7820436, ChileWe extend the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Sim</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inline-formula> invariant infrared regularization of Very Special Relativity models, that we have proposed recently, to include <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mn>5</mn></msub></semantics></math></inline-formula> Dirac matrix. Then, we solve the Very Special Relativity Schwinger model, find the chiral anomaly, and clarify its meaning in the new context. In addition, we show that the triangle anomaly in four space-time dimensions agrees with the same object in standard quantum electrodynamics. Finally, we apply the infrared regularization to compute the large N limit of the Very Special Relativity Gross–Neveu model.https://www.mdpi.com/2218-1997/10/9/348Very Special Relativityinfrared regularizationanomalies |
| spellingShingle | Jorge Alfaro Infrared Regularization of Very Special Relativity Models Universe Very Special Relativity infrared regularization anomalies |
| title | Infrared Regularization of Very Special Relativity Models |
| title_full | Infrared Regularization of Very Special Relativity Models |
| title_fullStr | Infrared Regularization of Very Special Relativity Models |
| title_full_unstemmed | Infrared Regularization of Very Special Relativity Models |
| title_short | Infrared Regularization of Very Special Relativity Models |
| title_sort | infrared regularization of very special relativity models |
| topic | Very Special Relativity infrared regularization anomalies |
| url | https://www.mdpi.com/2218-1997/10/9/348 |
| work_keys_str_mv | AT jorgealfaro infraredregularizationofveryspecialrelativitymodels |