2026-04-18T01:30:57Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4547882024-10-31T04:28:35Zcom_2072_98col_2072_378192

Phase ambiguity of the measure for continuum Majorana fermions Golterman, Maarten Shamir, Yigal Altres ajuts: Funded by SCOAP3 Integrating over a continuum Majorana fermion formally yields a functional Pfaffian. We show that the phase of this Pfaffian is ambiguous, as it depends on the choice of basis. This ambiguity is naturally resolved within a nonperturbative lattice definition, allowing us to discuss the relation between the phase of the lattice Pfaffian and the effective θ angle of the theory. We also resolve an apparent paradox regarding the induced θ angle when a theory of N Dirac fermions in a real representation of the gauge group is reexpressed in terms of 2N Majorana fermions. We discuss how all this is reflected in chiral perturbation theory. 2019 Article https://ddd.uab.cat/record/223467 urn:10.1103/PhysRevD.100.034507 urn:oai:ddd.uab.cat:223467 urn:scopus_id:85072061899 urn:articleid:24700029v100n3p34507 http://hdl.handle.net/2072/454788 eng Physical Review D ; Vol. 100, Issue 3 (August 2019), art. 034507 open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. https://creativecommons.org/licenses/by/4.0/ application/pdf