Low-energy limit of N-photon amplitudes in a constant field: Part II
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912006451232768 |
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| author | Lopez-Lopez, Misha A. |
| author_facet | Lopez-Lopez, Misha A. |
| contents | We employ the worldline formalism to derive a series representation of the low-energy limit of the N -photon amplitude in a constant background field for both scalar and spinor QED. The amplitudes are then written in terms of a single proper-time integral. The above-mentioned series representation terminates when considering a constant crossed field. This allows us to obtain even more compact expressions for these particular amplitudes for which the result of the proper-time integral, for fixed parameters, takes the form of a factorial function. In addition, we derive all helicity components of these amplitudes and express them explicitly in terms of Bernoulli numbers and spinor products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16474 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Low-energy limit of N-photon amplitudes in a constant field: Part II Lopez-Lopez, Misha A. High Energy Physics - Theory We employ the worldline formalism to derive a series representation of the low-energy limit of the N -photon amplitude in a constant background field for both scalar and spinor QED. The amplitudes are then written in terms of a single proper-time integral. The above-mentioned series representation terminates when considering a constant crossed field. This allows us to obtain even more compact expressions for these particular amplitudes for which the result of the proper-time integral, for fixed parameters, takes the form of a factorial function. In addition, we derive all helicity components of these amplitudes and express them explicitly in terms of Bernoulli numbers and spinor products. |
| title | Low-energy limit of N-photon amplitudes in a constant field: Part II |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.16474 |