Affiliation:
1. Technical University of Madrid
Abstract
We develop a simple non-perturbative approach to the calculation of a
field theory effective potential that is based on the Wilson or exact
renormalization group. Our approach follows Shepard et al.’s idea [Phys.
Rev. D51, 7017 (1995)] of converting the exact renormalization group
into a self-consistent renormalization method. It yields a simple second
order differential equation for the effective potential. The equation
can be solved and its solution is compared with other non-perturbative
results and with results of perturbation theory. In three dimensions, we
are led to study the sextic field theory (\lambda\phi^4+g\phi^6λϕ4+gϕ6).
We work out this theory at two-loop perturbative order and find the
non-perturbative approach to be superior.
Cited by
1 articles.
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