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Unitary dynamics as a uniqueness criterion for the quantization of Dirac fields

AutorElizaga Navascués, Beatriz ; Cortez, Jerónimo; Martín-Benito, Mercedes ; Mena Marugán, Guillermo A.
Fecha de publicación6-sep-2017
CitaciónMathematics Department, Instituto Superior Técnico (2017)
ResumenIt is well known that linear canonical transformations are not generally implemented as unitary operators in QFT. Such transformations include the dynamics that arises from linear field equations on the background spacetime. This evolution is specially relevant in nonstationary backgrounds, where there is no time-translational symmetry that can be exploited to select a quantum theory. We investigate whether it is possible to find a Fock representation for the canonical anticommutation relations of a Dirac field, propagating on homogeneous and isotropic cosmological backgrounds, on the one hand, and on tridimensional conformally ultrastatic spacetimes, on the other hand, such that the field evolution is unitarily implementable. First, we restrict our attention to Fock representations that are invariant under the group of symmetries of the system. Then, we prove that there indeed exist Fock representations such that the dynamics is implementable as a unitary operator. Finally, once a convention for the notion of particles and antiparticles is set, we show that these representations are all unitarily equivalent.
DescripciónPresentación de 44 diapositivas. -- Lisboa, Portugal, 6 de Septiembre 2017
URIhttp://hdl.handle.net/10261/165258
Aparece en las colecciones: (CFMAC-IEM) Comunicaciones congresos
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