Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-19
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, LaTeX2e, to appear in the proceedings of ``Path Integrals from peV to TeV'' (Florence, Italy, August 25-29, 1998)
Scientific paper
The proper definition and evaluation of the configuration space path integral for the motion of a particle in curved space is a notoriously tricky problem. We discuss a consistent definition which makes use of an expansion in Fourier sine series of the particle paths. Salient features of the regularization are the Lee-Yang ghosts fields and a specific effective potential to be added to the classical action. The Lee-Yang ghost fields are introduced to exponentiate the non-trivial path integral measure and make the perturbative loop expansion finite order by order, whereas the effective potential is necessary to maintain the general coordinate invariance of the model. We also discuss a three loop computation which tests the mode regularization scheme and reproduces consistently De Witt's perturbative solution of the heat kernel.
No associations
LandOfFree
Mode Regularization of the Configuration Space Path Integral for a Particle in Curved Space 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 Mode Regularization of the Configuration Space Path Integral for a Particle in Curved Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mode Regularization of the Configuration Space Path Integral for a Particle in Curved Space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-656956