Vacuum Radiation and Symmetry Breaking in Conformally Invariant Quantum Field Theory
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Knowledge AreaMatemática Aplicada
SponsorsM. Calixto thanks the Spanish MEC for a FPI grant. M.C. is also grateful to A.P. Balachandran for his hospitality at the Department of Physics of the Syracuse University, where some of the work on the manuscript was carried out.
Bibliographic CitationALDAYA VALVERDE, Victor, CALIXTO MOLINA, Manuel, CERVERÓ SANTIAGO, José María. Vacuum Radiation and Symmetry Breaking in Conformally Invariant Quantum Field Theory. Communications in Mathematical Physics, 200 (2): 325-354, 1999. ISSN 0010-3616
KeywordsVacio de la radiación
Ajustamiento de las simetrías rotas
Cuantización de grupos
Fórmulas uniformemente aceleradas
The underlying reasons for the difficulty of unitarily implementing the whole conformal group SO(4, 2) in a massless Quantum Field Theory (QFT) on the Minkowski space are investigated in this paper. Firstly, we demonstrate that the singular action of the subgroup of special conformal transformations (SCT), on the standard Minkowski space M, cannot be primarily associated with the vacuum radiation problems, the reason being more profound and related to the dynamical breakdown of part of the conformal symmetry (the SCT subgroup, to be more precise) when representations of null mass are selected inside the representations of the whole conformal group. Then we show how the vacuum of the massless QFT radiates under the action of SCT (usually interpreted as transitions to a uniformly accelerated frame) and we calculate exactly the spectrum of the outgoing particles, which proves to be a generalization of the Planckian one, this recovered as a given limit.
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