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dc.contributor.authorEdwards, JP
dc.contributor.authorMata, CM
dc.contributor.authorSchubert, C
dc.date.accessioned2023-08-10T12:01:22Z
dc.date.available2023-08-10T12:01:22Z
dc.date.issued2022-06-01
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.other064002
dc.identifier.urihttps://pearl.plymouth.ac.uk/handle/10026.1/21202
dc.description.abstract

We summarize recent progress in applying the worldline formalism to the analytic calculation of one-loop N-point amplitudes. This string-inspired approach is well-adapted to avoiding some of the calculational inefficiencies of the standard Feynman diagram approach, most notably by providing master formulas that sum over diagrams differing only by the position of external legs and/or internal propagators. We illustrate the mathematical challenge involved with the low-energy limit of the N-photon amplitudes in scalar and spinor QED, and then present an algorithm that, in principle, solves this problem for the much more difficult case of the N-point amplitudes at full momentum in ϕ3 theory. The method is based on the algebra of inverse derivatives in the Hilbert space of periodic functions orthogonal to the constant ones, in which the Bernoulli numbers and polynomials play a central role.

dc.format.extent064002-064002
dc.publisherIOP Publishing
dc.subject5106 Nuclear and Plasma Physics
dc.subject5107 Particle and High Energy Physics
dc.subject4902 Mathematical Physics
dc.subject49 Mathematical Sciences
dc.subject51 Physical Sciences
dc.titleOne-loop amplitudes in the worldline formalism
dc.typejournal-article
dc.typeJournal Article
plymouth.issue6
plymouth.volume97
plymouth.publication-statusPublished
plymouth.journalPhysica Scripta
dc.identifier.doi10.1088/1402-4896/ac6a1e
plymouth.organisational-group|Plymouth
plymouth.organisational-group|Plymouth|Faculty of Science and Engineering
plymouth.organisational-group|Plymouth|Faculty of Science and Engineering|School of Engineering, Computing and Mathematics
plymouth.organisational-group|Plymouth|REF 2021 Researchers by UoA
plymouth.organisational-group|Plymouth|Users by role
plymouth.organisational-group|Plymouth|Users by role|Academics
plymouth.organisational-group|Plymouth|REF 2021 Researchers by UoA|UoA10 Mathematical Sciences
plymouth.organisational-group|Plymouth|REF 2021 Researchers by UoA|ZZZ Extended UoA 10 - Mathematical Sciences
dcterms.dateAccepted2022-04-25
dc.date.updated2023-08-10T12:01:16Z
dc.rights.embargodate9999-12-31
dc.identifier.eissn1402-4896
dc.rights.embargoperiodforever
rioxxterms.versionofrecord10.1088/1402-4896/ac6a1e


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