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PERTURBATIVE S-MATRIX UNITARITY AND HIGHER-ORDER LORENTZ VIOLATION

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dc.creatorCARLOS MARAT REYES MARTÍNEZ
dc.date2023
dc.date.accessioned2025-01-10T15:40:38Z
dc.date.available2025-01-10T15:40:38Z
dc.date.issued2023
dc.description.abstractWE INVESTIGATE THE PRESERVATION OF UNITARITY IN A LORENTZ AND CPT-VIOLATING QED MODEL CONTAINING HIGHER-ORDER OPERATORS. IN PARTICULAR, WE CONSIDER MODIFICATIONS IN THE FERMION SECTOR WITH DIMENSION-FIVE OPERATORS. THE HIGHER-ORDER OPERATORS LEAD TO AN INDEFINITE METRIC AND A PSEUDO-UNITARITY RELATION FOR THE S-MATRIX. HOWEVER, WE SHOW THAT THE PSEUDO-UNITARITY CONDITION CAN BE PROMOTED TO A GENUINE UNITARITY RELATION BY (I) RESTRICTING THE ENERGIES TO THE EFFECTIVE REGION FAR BELOW THE PLANCK MASS AND (II) CONSIDERING STABLE PARTICLES TO HAVE A POSITIVE METRIC. IN THE CONTEXT OF THE OPTICAL THEOREM, WE FOCUS ON THE ONE-LOOP BHABHA AND COMPTON SCATTERING PROCESSES. WE SHOW THAT NO GHOST STATES GET PROPAGATED THROUGH THE CUTS, THUS SATISFYING THE UNITARITY CONDITION. FURTHER, WE SHOW THAT DISCONTINUITIES OF PROPAGATORS ARE EQUIVALENT TO REPLACING PHYSICAL DIRAC FUNCTIONALS IN THE CUTTING EQUATION. THE PHYSICAL DIRAC FUNCTIONALS ARE DEFINED TO SELECT ONLY MODE SOLUTIONS OF STABLE PARTICLES. THE PROVIDED EXTENSION OF THE CUTKOSKY RULE MAY BE HELPFUL FOR ANALYZING PERTURBATIVE UNITARITY IN HIGHER-ORDER DIAGRAMS.
dc.formatapplication/pdf
dc.identifier.doi/10.1103/PhysRevD.108.015012
dc.identifier.issn2470-0029
dc.identifier.issn2470-0010
dc.identifier.issn1550-2368
dc.identifier.issn1550-7998
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13140
dc.languagespa
dc.publisherPHYSICAL REVIEW D
dc.relation.uri/10.1103/PhysRevD.108.015012
dc.rightsPUBLICADA
dc.titlePERTURBATIVE S-MATRIX UNITARITY AND HIGHER-ORDER LORENTZ VIOLATION
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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