Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method
Abstract The approach based on the Nakanishi integral representation of n-leg transition amplitudes is extended to the treatment of the self-energies of a fermion and an (IR-regulated) vector boson, in order to pave the way for constructing a comprehensive application of the technique to both gap- a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-020-08806-x |
| _version_ | 1819054864744841216 |
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| author | Cédric Mezrag Giovanni Salmè |
| author_facet | Cédric Mezrag Giovanni Salmè |
| author_sort | Cédric Mezrag |
| collection | DOAJ |
| description | Abstract The approach based on the Nakanishi integral representation of n-leg transition amplitudes is extended to the treatment of the self-energies of a fermion and an (IR-regulated) vector boson, in order to pave the way for constructing a comprehensive application of the technique to both gap- and Bethe-Salpeter equations, in Minkowski space. The achieved result, namely a 6-channel coupled system of integral equations, eventually allows one to determine the three Källén–Lehman weights for fully dressing the propagators of fermion and photon. A first consistency check is also provided. The presented formal elaboration points to embed the characteristics of the non-perturbative regime at a more fundamental level. It yields a viable tool in Minkowski space for the phenomenological investigation of strongly interacting theories, within a QFT framework where the dynamical ingredients are made transparent and under control. |
| first_indexed | 2024-12-21T12:58:24Z |
| format | Article |
| id | doaj.art-fbb26d5c1f66421688168907142eafc1 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T12:58:24Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-fbb26d5c1f66421688168907142eafc12022-12-21T19:03:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-01-0181113510.1140/epjc/s10052-020-08806-xFermion and photon gap-equations in Minkowski space within the Nakanishi integral representation methodCédric Mezrag0Giovanni Salmè1Istituto Nazionale di Fisica Nucleare, Sezione di RomaIstituto Nazionale di Fisica Nucleare, Sezione di RomaAbstract The approach based on the Nakanishi integral representation of n-leg transition amplitudes is extended to the treatment of the self-energies of a fermion and an (IR-regulated) vector boson, in order to pave the way for constructing a comprehensive application of the technique to both gap- and Bethe-Salpeter equations, in Minkowski space. The achieved result, namely a 6-channel coupled system of integral equations, eventually allows one to determine the three Källén–Lehman weights for fully dressing the propagators of fermion and photon. A first consistency check is also provided. The presented formal elaboration points to embed the characteristics of the non-perturbative regime at a more fundamental level. It yields a viable tool in Minkowski space for the phenomenological investigation of strongly interacting theories, within a QFT framework where the dynamical ingredients are made transparent and under control.https://doi.org/10.1140/epjc/s10052-020-08806-x |
| spellingShingle | Cédric Mezrag Giovanni Salmè Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method European Physical Journal C: Particles and Fields |
| title | Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method |
| title_full | Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method |
| title_fullStr | Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method |
| title_full_unstemmed | Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method |
| title_short | Fermion and photon gap-equations in Minkowski space within the Nakanishi integral representation method |
| title_sort | fermion and photon gap equations in minkowski space within the nakanishi integral representation method |
| url | https://doi.org/10.1140/epjc/s10052-020-08806-x |
| work_keys_str_mv | AT cedricmezrag fermionandphotongapequationsinminkowskispacewithinthenakanishiintegralrepresentationmethod AT giovannisalme fermionandphotongapequationsinminkowskispacewithinthenakanishiintegralrepresentationmethod |