Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s
In the present paper we evaluate the anomaly for the abelian axial current in a non abelian chiral gauge theory, by using dimensional regularization. This amount to formulate a procedure for managing traces with more than one γ[subscript 5]. The suggested procedure obeys Lorentz covariance and cycli...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer US
2017
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| Online Access: | http://hdl.handle.net/1721.1/107443 |
| _version_ | 1826201982339121152 |
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| author | Ferrari, Ruggero |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Ferrari, Ruggero |
| author_sort | Ferrari, Ruggero |
| collection | MIT |
| description | In the present paper we evaluate the anomaly for the abelian axial current in a non abelian chiral gauge theory, by using dimensional regularization. This amount to formulate a procedure for managing traces with more than one γ[subscript 5]. The suggested procedure obeys Lorentz covariance and cyclicity, at variance with previous approaches (e.g. the celebrated ’t Hooft and Veltman’s where Lorentz is violated). The result of the present paper is a further step forward in the program initiated by a previous work on the traces involving a single γ[subscript 5]. The final goal is an unconstrained definition of γ[subscript 5] in dimensional regularization. Here, in the evaluation of the anomaly, we profit of the axial current conservation equation, when radiative corrections are neglected. This kind of tool is not always exploited in field theories with γ[subscript 5], e.g. in the use of dimensional regularization of infrared and collinear divergences. |
| first_indexed | 2024-09-23T12:00:23Z |
| format | Article |
| id | mit-1721.1/107443 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:00:23Z |
| publishDate | 2017 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1074432022-10-01T07:33:37Z Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s Managing γ5 in Dimensional Regularization II: the Trace with more γ5’s Ferrari, Ruggero Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Ferrari, Ruggero In the present paper we evaluate the anomaly for the abelian axial current in a non abelian chiral gauge theory, by using dimensional regularization. This amount to formulate a procedure for managing traces with more than one γ[subscript 5]. The suggested procedure obeys Lorentz covariance and cyclicity, at variance with previous approaches (e.g. the celebrated ’t Hooft and Veltman’s where Lorentz is violated). The result of the present paper is a further step forward in the program initiated by a previous work on the traces involving a single γ[subscript 5]. The final goal is an unconstrained definition of γ[subscript 5] in dimensional regularization. Here, in the evaluation of the anomaly, we profit of the axial current conservation equation, when radiative corrections are neglected. This kind of tool is not always exploited in field theories with γ[subscript 5], e.g. in the use of dimensional regularization of infrared and collinear divergences. United States. Department of Energy (cooperative research agreement #DE FG02-05ER41360) 2017-03-16T19:32:30Z 2017-10-01T05:00:06Z 2016-12 2016-09 2017-02-11T04:58:22Z Article http://purl.org/eprint/type/JournalArticle 0020-7748 1572-9575 http://hdl.handle.net/1721.1/107443 Ferrari, Ruggero. “Managing γ 5 in Dimensional Regularization II: The Trace with More γ 5’s.” International Journal of Theoretical Physics 56.3 (2017): 691–705. en http://dx.doi.org/10.1007/s10773-016-3211-8 International Journal of Theoretical Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Science+Business Media New York application/pdf Springer US Springer US |
| spellingShingle | Ferrari, Ruggero Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s |
| title | Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s |
| title_full | Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s |
| title_fullStr | Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s |
| title_full_unstemmed | Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s |
| title_short | Managing γ[subscript 5] in Dimensional Regularization II: the Trace with more γ[subscript 5]’s |
| title_sort | managing γ subscript 5 in dimensional regularization ii the trace with more γ subscript 5 s |
| url | http://hdl.handle.net/1721.1/107443 |
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