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

Teilchenphysik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › 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.

Originalsprache	Englisch
Seiten (von - bis)	447-451
Seitenumfang	5
Fachzeitschrift	Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang	659
Ausgabenummer	1-2
DOIs	https://doi.org/10.1016/j.physletb.2007.10.060
Publikationsstatus	Veröffentlicht - 2008

ÖFOS 2012

103036 Theoretische Physik
103019 Mathematische Physik

Zugriff auf Dokument

10.1016/j.physletb.2007.10.060

http://arxiv.org/abs/0710.0573

Zitationsweisen

@article{eb44c6314de44a079907d51eb6f335c2,

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.",

author = "Alexander Gl{\"u}ck and Helmuth H{\"u}ffel",

note = "doi:10.1016/j.physletb.2007.10.060",

year = "2008",

doi = "10.1016/j.physletb.2007.10.060",

language = "English",

volume = "659",

pages = "447--451",

journal = "Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "ELSEVIER SCIENCE BV",

number = "1-2",

}

TY - JOUR

T1 - Nonlinear Brownian motion and Higgs mechanism

AU - Glück, Alexander

AU - Hüffel, Helmuth

N1 - doi:10.1016/j.physletb.2007.10.060

PY - 2008

Y1 - 2008

N2 - 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.

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.

U2 - 10.1016/j.physletb.2007.10.060

DO - 10.1016/j.physletb.2007.10.060

M3 - Article

SN - 0370-2693

VL - 659

SP - 447

EP - 451

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

ÖFOS 2012

Zugriff auf Dokument

Fingerprint

Zitationsweisen