Ciencias básicashttp://hdl.handle.net/10669/14212020-10-31T09:15:57Z2020-10-31T09:15:57ZCorrection to: The chirality theoremhttp://hdl.handle.net/10669/817872020-10-30T22:10:25Z2018-10-01T00:00:00ZCorrection to: The chirality theorem
Correction to: Ann. Henri Poincar ́e 19 (2018), 843–874https://doi.org/10.1007/s00023-017-0637-3
2018-10-01T00:00:00ZThe Kirillov picture for the Wigner particlehttp://hdl.handle.net/10669/817862020-10-30T21:55:24Z2018-06-01T00:00:00ZThe Kirillov picture for the Wigner particle
We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, labelled by elements of the enveloping algebra of the Poincaré Lie algebra. Now, the coadjoint orbit procedure introduced by Kirillov is a prelude to quantization. Here we exhibit for those particles the classical Casimir functions on phase space, in parallel to quantum representation theory. A good set of position coordinates are identified on the coadjoint orbits of the Wigner particles; the stabilizer subgroups and the symplectic structures of these orbits are also described.
2018-06-01T00:00:00ZString chopping and time-ordered products of linear string-localized quantum fieldshttp://hdl.handle.net/10669/817852020-10-30T16:25:13Z2018-03-01T00:00:00ZString chopping and time-ordered products of linear string-localized quantum fields
For a renormalizability proof of perturbative models in the Epstein-Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered products of the interaction Lagrangian. This paper provides a first step in that direction.
The basic issue is the presence of an open set of n-tuples of strings which cannot be chronologically ordered. We resolve it by showing that almost all such string configurations can be dissected into finitely many pieces which can indeed be chronologically ordered. This fixes the time-ordered products of linear field factors outside a nullset of string configurations.
2018-03-01T00:00:00ZThe chirality theoremhttp://hdl.handle.net/10669/817812020-10-30T15:23:20Z2018-03-01T00:00:00ZThe chirality theorem
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
2018-03-01T00:00:00Z