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https://doi.org/10.1103/physre...
Article . 1987 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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Effective potential in scalar field theory

Authors: , Huang; , Manousakis; , Polonyi;

Effective potential in scalar field theory

Abstract

We study the \ensuremath{\lambda}${\ensuremath{\varphi}}^{4}$ theory in 4 space-time dimensions in a Monte Carlo simulation on a ${10}^{4}$ lattice, through an especially simple and accurate way to calculate the effective potential. All renormalized parameters are obtained via the effective potential and the propagator. In the continuum limit we confirm the vanishing of the renormalized self-coupling, and show that the system can exist in one of two possible phases, both having a free particle of arbitrary mass. In one phase the vacuum expectation of the field vanishes, while in the other it is nonzero. This opens the possibility that, even though the self-coupling vanishes, the field can still be used to generate masses for gauge bosons and fermions.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Average
Top 10%
Top 10%