Nonlinear Brownian motion and Higgs mechanism

Autor(en)
Alexander Glück, Helmuth Hüffel
Abstrakt

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.

Organisation(en)
Teilchenphysik
Journal
Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Band
659
Seiten
447-451
Anzahl der Seiten
5
ISSN
0370-2693
DOI
https://doi.org/10.1016/j.physletb.2007.10.060
Publikationsdatum
2008
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik, 103019 Mathematische Physik
Link zum Portal
https://ucris.univie.ac.at/portal/de/publications/nonlinear-brownian-motion-and-higgs-mechanism(eb44c631-4de4-4a07-9907-d51eb6f335c2).html