Quantum Fluctuations of Particles and Fields in Smooth Path Integrals
Quantum Physics
2014-11-14 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
An approach to evaluation of the smooth Feynman path integrals is developed for the study of quantum fluctuations of particles and fields in Euclidean time-space. The paths are described by sum of Gauss functions and are weighted with exp(-S) by appropriate methods. The weighted smooth paths reproduce properties of the ground state of the harmonic oscillator in one dimension with high accuracy. Quantum fluctuations of U(1) and SU(2) gauge fields in four dimensions are also evaluated in our approach.
Cite
@article{arxiv.1308.4261,
title = {Quantum Fluctuations of Particles and Fields in Smooth Path Integrals},
author = {Takayasu Sekihara},
journal= {arXiv preprint arXiv:1308.4261},
year = {2014}
}
Comments
4 pages, 1 figure, talk given at the 12th Asia Pacific Physics Conference of AAPPS (APPC12), Makuhari, Japan, 14-19 July 2013