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dc.contributor.authorFinn, Kieran; orcid: 0000-0002-9840-2264; email: kieran.finn@manchester.ac.uk
dc.contributor.authorKaramitsos, Sotirios
dc.contributor.authorPilaftsis, Apostolos
dc.date.accessioned2021-07-03T15:13:34Z
dc.date.available2021-07-03T15:13:34Z
dc.date.issued2021-07-02
dc.date.submitted2021-04-07
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/625132/10052_2021_Article_9360_nlm.xml?sequence=2
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/625132/10052_2021_Article_9360.pdf?sequence=3
dc.identifier.citationThe European Physical Journal C, volume 81, issue 7, page 572
dc.identifier.urihttp://hdl.handle.net/10034/625132
dc.descriptionFrom Springer Nature via Jisc Publications Router
dc.descriptionHistory: received 2021-04-07, accepted 2021-06-21, registration 2021-06-21, pub-print 2021-07, pub-electronic 2021-07-02, online 2021-07-02
dc.descriptionPublication status: Published
dc.descriptionFunder: Science and Technology Facilities Council; doi: http://dx.doi.org/10.13039/501100000271; Grant(s): ST/L000520/1
dc.descriptionFunder: H2020 European Research Council; doi: http://dx.doi.org/10.13039/100010663; Grant(s): 669668 NEO-NAT
dc.description.abstractAbstract: We present a frame- and reparametrisation-invariant formalism for quantum field theories that include fermionic degrees of freedom. We achieve this using methods of field-space covariance and the Vilkovisky–DeWitt (VDW) effective action. We explicitly construct a field-space supermanifold on which the quantum fields act as coordinates. We show how to define field-space tensors on this supermanifold from the classical action that are covariant under field reparametrisations. We then employ these tensors to equip the field-space supermanifold with a metric, thus solving a long-standing problem concerning the proper definition of a metric for fermionic theories. With the metric thus defined, we use well-established field-space techniques to extend the VDW effective action and express any fermionic theory in a frame- and field-reparametrisation-invariant manner.
dc.languageen
dc.publisherSpringer Berlin Heidelberg
dc.rightsLicence for this article: http://creativecommons.org/licenses/by/4.0/
dc.sourcepissn: 1434-6044
dc.sourceeissn: 1434-6052
dc.subjectRegular Article - Theoretical Physics
dc.titleFrame covariant formalism for fermionic theories
dc.typearticle
dc.date.updated2021-07-03T15:13:34Z
dc.date.accepted2021-06-21


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