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Improved Hartree-Fock resummations and spontaneous symmetry breaking

Claudio Destri
(
- Milan Bicocca U. and
- INFN, Milan
)
,
Andrea Sartirana
(
- Milan Bicocca U. and
- INFN, Milan
)

Sep, 2005

42 pages

Published in:

Phys.Rev.D 73 (2006) 025012

e-Print:

hep-ph/0509032 [hep-ph]

DOI:

10.1103/PhysRevD.73.025012

Report number:

BICOCCA-FT-05-22

View in:

ADS Abstract Service

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Abstract: (arXiv)

The standard Hartree--Fock approximation of the

O(N)-

invariant

\phi^4

model suffers from serious renormalization problems. In addition, when the symmetry is spontaneously broken, another shortcoming appears in relation to the Goldstone bosons: they fail to be massless in the intermediate states. In this work, within the framework of out--of--equilibrium Quantum Field Theory, we propose a class of systematic improvements of the Hartree--Fock resummation which overcomes all the above mentioned difficulties while ensuring also exact Renormalization--Group invariance to one loop.

Note:

42 pages, 9 figures

11.15.Pg
11.10.Gh
11.10.Ef
phi**n model: 4
symmetry: O(N)
spontaneous symmetry breaking
Hartree-Fock approximation
renormalization group
mean field approximation

References(62)

Figures(0)

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