We determine the renormalized effective potential Vphi for phi4 field theory when there is spontaneous symmetry breakdown. We show how to obtain an expression for Vphi which at the one-loop level is real and convex by summing over all the minima at finite volume of the classical action with euclidean lagrangian given by . Our method of determining Zj cures the two diseases of the "naive" one-loop effective potential of being complex and non-convex. We give a new prescription for renormalization which is consistent with our calculational procedure.
%0 Journal Article
%1 Cooper:1983cd
%A Cooper, Fred
%A Freedman, Barry
%D 1984
%J Nucl. Phys.
%K EffectiveAction NonconvexPotential Phi4 Renormalisation
%P 459
%R 10.1016/0550-3213(84)90258-X
%T RENORMALIZING THE EFFECTIVE POTENTIAL FOR SPONTANEOUSLY
BROKEN g phi**4 FIELD THEORY
%U http://www.slac.stanford.edu/spires/find/hep/www?j=NUPHA,B239,459
%V B239
%X We determine the renormalized effective potential Vphi for phi4 field theory when there is spontaneous symmetry breakdown. We show how to obtain an expression for Vphi which at the one-loop level is real and convex by summing over all the minima at finite volume of the classical action with euclidean lagrangian given by . Our method of determining Zj cures the two diseases of the "naive" one-loop effective potential of being complex and non-convex. We give a new prescription for renormalization which is consistent with our calculational procedure.
@article{Cooper:1983cd,
abstract = {We determine the renormalized effective potential V[[phi]] for [phi]4 field theory when there is spontaneous symmetry breakdown. We show how to obtain an expression for V[[phi]] which at the one-loop level is real and convex by summing over all the minima at finite volume of the classical action with euclidean lagrangian given by . Our method of determining Z[j] cures the two diseases of the "naive" one-loop effective potential of being complex and non-convex. We give a new prescription for renormalization which is consistent with our calculational procedure.},
added-at = {2009-03-29T14:06:05.000+0200},
author = {Cooper, Fred and Freedman, Barry},
biburl = {https://www.bibsonomy.org/bibtex/26ee9d1d80f0b3bcde1606cd9d558c0d5/gber},
description = {SPIRES-HEP: FIND J NUPHA,B239,459},
doi = {10.1016/0550-3213(84)90258-X},
interhash = {7d819ddb51b5dfbd01894a56e1032edb},
intrahash = {6ee9d1d80f0b3bcde1606cd9d558c0d5},
journal = {Nucl. Phys.},
keywords = {EffectiveAction NonconvexPotential Phi4 Renormalisation},
pages = 459,
slaccitation = {%%CITATION = NUPHA,B239,459;%%},
timestamp = {2009-03-29T14:06:06.000+0200},
title = {{RENORMALIZING THE EFFECTIVE POTENTIAL FOR SPONTANEOUSLY
BROKEN g phi**4 FIELD THEORY}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?j=NUPHA,B239,459},
volume = {B239},
year = 1984
}