The effective potential as an energy density: The one phase region
type: Item
instance of: scholarly article
title: The effective potential as an energy density: The one phase region
zbMATH Open document ID: 0605.60093
DOI: 10.1007/BF01211065
author: Gordon Slade
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: An explicit formula is given relating the effective potential in a finite volume \(P(\phi)_ 2\) quantum field theory to the expected energy density under the constraint of a fixed average field. In the one phase region, i.e., where the classical potential equals its convex hull and has nonvanishing second derivative, it is shown via a central limit theorem that in the infinite volume limit the effective potential is equal to the constrained energy density, provided \(\hslash\) is sufficiently small.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 3978102
zbMATH Keywords: effective potential
zbMATH Keywords: quantum field theory
zbMATH Keywords: central limit theorem
MaRDI profile type: Publication
cites work: The loop expansion for the effective potential in the \(P(\Phi)_ 2\) quantum field theory
full work available at URL: https://doi.org/10.1007/bf01211065
OpenAlex ID: W1977675552
description: scientific article; zbMATH DE number 3978102