New Techniques for Worldline Integration
dc.contributor.author | Edwards, James | |
dc.contributor.author | Mata, CM | |
dc.contributor.author | Müller, U | |
dc.contributor.author | Schubert, C | |
dc.date.accessioned | 2023-08-10T12:05:27Z | |
dc.date.available | 2023-08-10T12:05:27Z | |
dc.date.issued | 2021-07-03 | |
dc.identifier.issn | 1815-0659 | |
dc.identifier.issn | 1815-0659 | |
dc.identifier.uri | https://pearl.plymouth.ac.uk/handle/10026.1/21205 | |
dc.description.abstract |
<jats:p>The worldline formalism provides an alternative to Feynman diagrams in the construction of amplitudes and effective actions that shares some of the superior properties of the organization of amplitudes in string theory. In particular, it allows one to write down integral representations combining the contributions of large classes of Feynman diagrams of different topologies. However, calculating these integrals analytically without splitting them into sectors corresponding to individual diagrams poses a formidable mathematical challenge. We summarize the history and state of the art of this problem, including some natural connections to the theory of Bernoulli numbers and polynomials and multiple zeta values.</jats:p> | |
dc.publisher | SIGMA (Symmetry, Integrability and Geometry: Methods and Application) | |
dc.title | New Techniques for Worldline Integration | |
dc.type | journal-article | |
plymouth.publication-status | Published online | |
plymouth.journal | Symmetry, Integrability and Geometry: Methods and Applications | |
dc.identifier.doi | 10.3842/sigma.2021.065 | |
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 | |
dc.date.updated | 2023-08-10T12:05:27Z | |
dc.rights.embargodate | 10000-01-01 | |
dc.identifier.eissn | 1815-0659 | |
dc.rights.embargoperiod | forever | |
rioxxterms.versionofrecord | 10.3842/sigma.2021.065 |