We compute connected Green\'s functions of a Bosonic field theory with cutoffs by means of a ``minimal\'\' expansion which in a single move, interpolating a generalized propagator, performs the usual tasks of the cluster and Mayer expansion. In this way it allows a direct construction of the infinite volume or thermodynamic limit and it brings constructive Bosonic expansions closer to constructive Fermionic expansions and to perturbation theory.
Publié le : 2002-07-05
Classification:
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],
[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech],
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
@article{hal-00008446,
author = {Abdesselam, A. and Magnen, J. and Rivasseau, V.},
title = {Bosonic Monocluster Expansion},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00008446}
}
Abdesselam, A.; Magnen, J.; Rivasseau, V. Bosonic Monocluster Expansion. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00008446/