False vacuum decay by selfconsistent bounces in four dimensions
Abstract
We compute bounce solutions describing false vacuum decay in a {phi}{sup 4} model in four dimensions with quantum backreaction. The backreaction of the quantum fluctuations on the bounce profiles is computed in the oneloop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the oneloop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green's function of the fluctuation operator in oder to compute the quantum backreaction. As we are able to separate from the determinant and from the Gree n's function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards selfconsistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. The transition rates are reduced for the oneloop backreaction, for the Hartree backreaction they are reduced for {alpha}more »
 Authors:
 Institut fuer Physik, Universitaet Dortmund, D  44221 Dortmund (Germany)
 (Germany) and Andronikashvili Institute of Physics, GAS, 0177 Tbilisi (Georgia)
 Publication Date:
 OSTI Identifier:
 21011094
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.045001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; CORRECTIONS; FLUCTUATIONS; GREEN FUNCTION; HARTREEFOCK METHOD; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; PHI4FIELD THEORY; RENORMALIZATION; SEMICLASSICAL APPROXIMATION
Citation Formats
Baacke, Juergen, Kevlishvili, Nina, and Institut fuer Physik, Universitaet Dortmund, D  44221 Dortmund. False vacuum decay by selfconsistent bounces in four dimensions. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.045001.
Baacke, Juergen, Kevlishvili, Nina, & Institut fuer Physik, Universitaet Dortmund, D  44221 Dortmund. False vacuum decay by selfconsistent bounces in four dimensions. United States. doi:10.1103/PHYSREVD.75.045001.
Baacke, Juergen, Kevlishvili, Nina, and Institut fuer Physik, Universitaet Dortmund, D  44221 Dortmund. Thu .
"False vacuum decay by selfconsistent bounces in four dimensions". United States.
doi:10.1103/PHYSREVD.75.045001.
@article{osti_21011094,
title = {False vacuum decay by selfconsistent bounces in four dimensions},
author = {Baacke, Juergen and Kevlishvili, Nina and Institut fuer Physik, Universitaet Dortmund, D  44221 Dortmund},
abstractNote = {We compute bounce solutions describing false vacuum decay in a {phi}{sup 4} model in four dimensions with quantum backreaction. The backreaction of the quantum fluctuations on the bounce profiles is computed in the oneloop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the oneloop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green's function of the fluctuation operator in oder to compute the quantum backreaction. As we are able to separate from the determinant and from the Gree n's function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards selfconsistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. The transition rates are reduced for the oneloop backreaction, for the Hartree backreaction they are reduced for {alpha} < or approx. 0.5 and enhanced for larger values of {alpha}. Beyond some limit, there are no selfconsistent bounce solutions.},
doi = {10.1103/PHYSREVD.75.045001},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}

We compute bounce solutions describing false vacuum decay in a {phi}{sup 4} model in two dimensions in the Hartree approximation, thus going beyond the usual oneloop corrections to the decay rate. We use zero energy mode functions of the fluctuation operator for the numerical computation of the functional determinant and the Green's function. We thus avoid the necessity of discretizing the spectrum, as it is necessary when one uses numerical techniques based on eigenfunctions. Regularization is performed in analogy of standard perturbation theory; the renormalization of the Hartree approximation is based on the twoparticle pointirreducible scheme. The iteration towards themore »

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