Quantum electrodynamics in external fields from the spin representation

 

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Dettagli Bibliografici
Autori: Gracia Bondía, José M., Várilly Boyle, Joseph C.
Natura: artículo original
Data di pubblicazione:1994
Descrizione:Systematic use of the infinite-dimensional spin representation simplifies and rigorizes several questions in quantum field theory. This representation permutes "Gaussian" elements in the fermion Fock space, and is necessarily projective: we compute its cocycle at the group level, and obtain Schwinger terms and anomalies from infinitesimal versions of this cocycle. Quantization, in this framework, depends on the choice of the "right" complex structure on the space of solutions of the Dirac equation. We show how the spin representation allows one to compute exactly the S-matrix for fermions in an external field; the cocycle yields a causality condition needed to determine the phase.
Stato:Kérwá
Istituzione:Universidad de Costa Rica
Repositorio:Kérwá
Lingua:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/88454
Accesso online:https://aip.scitation.org/doi/10.1063/1.530472
https://hdl.handle.net/10669/88454
Keyword:Representación de espín
Cuantización
Teoría cuántica de campos
MATEMÁTICAS