Variational stochastic procedure for broken symmetry phase and fermionic fields

Authors
Berard, A Grandati, Y
Citation
A. Berard et Y. Grandati, Variational stochastic procedure for broken symmetry phase and fermionic fields, INT J THEOR, 38(2), 1999, pp. 623-639
Citations number
11
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
38
Issue
2
Year of publication
1999
Pages
623 - 639
Database
ISI
SICI code
0020-7748(199902)38:2<623:VSPFBS>2.0.ZU;2-1
Abstract
Stochastic quantization of the O(N) phi(4)-field theory is studied in the b roken symmetry phase by a variational approach. The resulting integral equa tion is solved analytically to any order in 1/N expansion. This method is a dapted to fermionic models. In particular, an analytic fermionic toy model is introduced in D = 0 and we argue that the D-dimensional case is directly accessible in this way.