Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions
We develop the formalism to do worldline calculations relevant for the Standard Model. For that, we first figure out the worldline representations for the free propagators of massless chiral fermions of a single generation and gauge bosons of the Standard Model. Then we extend the formalism to the m...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2165731 |
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| author | Somdatta Bhattacharya |
| author_facet | Somdatta Bhattacharya |
| author_sort | Somdatta Bhattacharya |
| collection | DOAJ |
| description | We develop the formalism to do worldline calculations relevant for the Standard Model. For that, we first figure out the worldline representations for the free propagators of massless chiral fermions of a single generation and gauge bosons of the Standard Model. Then we extend the formalism to the massive and dressed cases for the fermions and compute the QED vertex. We then go over fermionic one-loop effective actions and anomalies. To our knowledge, in the places where there has been an attempt at deriving the gauge boson propagator, the derivation is somewhat contrived, and we believe our derivation is more straightforward. Moreover, our incorporation of internal degrees of freedom is novel and sports some new features. The derivation of the QED vertex is also new. The treatment of the fermionic one-loop effective actions leads to a particularly economical derivation of chiral anomalies and the gauge anomaly freedom in the Standard Model, improving upon the state of the art in the literature. The appropriate worldline formalism developed thus sets the stage for Standard Model calculations beyond the tree and one-loop cases that incorporate Bern-Kosower type formulae for multiloop amplitudes, relevant for processes at the LHC. |
| format | Article |
| id | doaj-art-9329411180b94881af40977873050cad |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-9329411180b94881af40977873050cad2025-02-03T01:32:09ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/21657312165731Worldline Path-Integral Representations for Standard Model Propagators and Effective ActionsSomdatta Bhattacharya0New Alipore College, Kolkata, West Bengal 700053, IndiaWe develop the formalism to do worldline calculations relevant for the Standard Model. For that, we first figure out the worldline representations for the free propagators of massless chiral fermions of a single generation and gauge bosons of the Standard Model. Then we extend the formalism to the massive and dressed cases for the fermions and compute the QED vertex. We then go over fermionic one-loop effective actions and anomalies. To our knowledge, in the places where there has been an attempt at deriving the gauge boson propagator, the derivation is somewhat contrived, and we believe our derivation is more straightforward. Moreover, our incorporation of internal degrees of freedom is novel and sports some new features. The derivation of the QED vertex is also new. The treatment of the fermionic one-loop effective actions leads to a particularly economical derivation of chiral anomalies and the gauge anomaly freedom in the Standard Model, improving upon the state of the art in the literature. The appropriate worldline formalism developed thus sets the stage for Standard Model calculations beyond the tree and one-loop cases that incorporate Bern-Kosower type formulae for multiloop amplitudes, relevant for processes at the LHC.http://dx.doi.org/10.1155/2017/2165731 |
| spellingShingle | Somdatta Bhattacharya Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions Advances in High Energy Physics |
| title | Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions |
| title_full | Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions |
| title_fullStr | Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions |
| title_full_unstemmed | Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions |
| title_short | Worldline Path-Integral Representations for Standard Model Propagators and Effective Actions |
| title_sort | worldline path integral representations for standard model propagators and effective actions |
| url | http://dx.doi.org/10.1155/2017/2165731 |
| work_keys_str_mv | AT somdattabhattacharya worldlinepathintegralrepresentationsforstandardmodelpropagatorsandeffectiveactions |