Physics – Quantum Physics
Scientific paper
2011-12-30
Physics
Quantum Physics
4 pages, 5 figures
Scientific paper
An approach to approximate evaluation of the continuum 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 smooth functions and are weighted with exp(-S) by the Metropolis method. The weighted smooth paths reproduce properties of the ground state of the harmonic oscillator in one dimension with 80-90% accuracy. Our approach is applied to quantum field theories and quantum fluctuations of U(1) and SU(2) gauge fields in four dimensions respectively provide the Coulomb force and confining linear potential at qualitative levels via the Wilson loops. Behavior of the string tension for the SU(2) linear potential is consistent with the renormalization group prediction.
No associations
LandOfFree
New Approach to Continuum Path Integrals for Particles and Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with New Approach to Continuum Path Integrals for Particles and Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Approach to Continuum Path Integrals for Particles and Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-334699