NONPERTURBATIVE APPROACH TO THE EFFECTIVE POTENTIAL OF THE LAMBDA-PHI(4) THEORY AT FINITE-TEMPERATURE

Authors
INAGAKI T OGURE K SATO J
Citation
T. Inagaki et al., NONPERTURBATIVE APPROACH TO THE EFFECTIVE POTENTIAL OF THE LAMBDA-PHI(4) THEORY AT FINITE-TEMPERATURE, Progress of theoretical physics, 99(6), 1998, pp. 1069-1083
Citations number
47
Categorie Soggetti
Physics
Journal title
Progress of theoretical physics → ACNP
ISSN journal
0033068X
Volume
99
Issue
6
Year of publication
1998
Pages
1069 - 1083
Database
ISI
SICI code
0033-068X(1998)99:6<1069:NATTEP>2.0.ZU;2-I
Abstract
We construct a non-perturbative method to calculate the effective pote ntial of the lambda phi(4) theory at finite temperature. We express th e derivative of the effective potential with respect to the mass squar ed in terms of the full propagator. We reduce this equation to a parti al differential equation for the effective potential using an approxim ation. We numerically solve this equation and obtain the effective pot ential non-perturbatively. We find that the phase transition is second order, as it should be. We determine several critical exponents.