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          Institute: MPI für Physik     Collection: MPI für Physik     Display Documents



ID: 542976.0, MPI für Physik / MPI für Physik
theta-Physics: 0-vacuum versus pi-vacuum
Authors:Aguado, M.; Asorey, M.; Garcia-Alvarez, D.
Date of Publication (YYYY-MM-DD):2003
Title of Journal:Modern Physics Letters A
Journal Abbrev.:Mod.Phys.Lett.A
Issue / Number:18
Start Page:2303
End Page:2310
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:The behaviour of 0-vacuum and pi-vacuum under CP symmetry is analyzed in two different families of quantum field theories: gauge theories in 4D and CP^(N-1) sigma models in 2D. In particular, the possibility of spontaneous CP symmetry breaking is analyzed by new continuum non-perturbative techniques. In the case of theta=0-vacuum we find that the dependence of the vacuum energy density on theta around theta=0 has not a first order cusp singularity, a missing requirement of the proof of the Vafa-Witten theorem. The result is based on the absence of Lee-Yang singularities for pure imaginary values of the theta-parameter. In the case of theta=pi the result follows from the analysis of the nodal structure of the vacuum functional in the Schroedinger representation. The dynamics of both theories favors the localization of vacuum nodes at sphalerons instead of classical vacua as corresponds to parity even states. The existence of a dynamical level repulsion between parity even and parity odd states at low energies is the mechanism behind the absence of CP symmetry breaking in pi-vacuum.
Classification / Thesaurus:Field Theory
External Publication Status:published
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2004-4
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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