Nonlinear Brownian motion and Higgs mechanism

Alexander Glück; Helmuth Hüffel

doi:10.1016/j.physletb.2007.10.060

Nonlinear Brownian motion and Higgs mechanism

Alexander Glück
, Helmuth Hüffel

Particle Physics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

An extension of the stochastic quantization scheme is proposed by adding nonlinear terms to the field equations. Our modification is motivated by the recently established theory of active Brownian motion. We discuss a way of promoting this theory to the case of infinite degrees of freedom. Equilibrium distributions can be calculated exactly and are interpreted as path integral densities of quantum field theories. By applying our procedure to scalar QED, the symmetry breaking potential of the Higgs mechanism arises as the equilibrium solution.

Original language	English
Pages (from-to)	447-451
Number of pages	5
Journal	Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	659
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physletb.2007.10.060
Publication status	Published - 2008

Austrian Fields of Science 2012

103036 Theoretical physics
103019 Mathematical physics

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10.1016/j.physletb.2007.10.060

http://arxiv.org/abs/0710.0573

Cite this

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title = "Nonlinear Brownian motion and Higgs mechanism",

abstract = "An extension of the stochastic quantization scheme is proposed by adding nonlinear terms to the field equations. Our modification is motivated by the recently established theory of active Brownian motion. We discuss a way of promoting this theory to the case of infinite degrees of freedom. Equilibrium distributions can be calculated exactly and are interpreted as path integral densities of quantum field theories. By applying our procedure to scalar QED, the symmetry breaking potential of the Higgs mechanism arises as the equilibrium solution.",

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AB - An extension of the stochastic quantization scheme is proposed by adding nonlinear terms to the field equations. Our modification is motivated by the recently established theory of active Brownian motion. We discuss a way of promoting this theory to the case of infinite degrees of freedom. Equilibrium distributions can be calculated exactly and are interpreted as path integral densities of quantum field theories. By applying our procedure to scalar QED, the symmetry breaking potential of the Higgs mechanism arises as the equilibrium solution.

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DO - 10.1016/j.physletb.2007.10.060

M3 - Article

SN - 0370-2693

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JO - Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Nonlinear Brownian motion and Higgs mechanism

Abstract

Austrian Fields of Science 2012

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