Path integral for the relativistic particle in curved space

Details Path integral for the relativistic particle in curved space Path integral for the relativistic particle in curved space

Feb 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.1198f&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 4, 15 February 1992, pp.1198-1209

Physics

8

Functional Analytical Methods

Scientific paper

The propagator for a single relativistic particle in a (D+1)-dimensional curved background is obtained by evaluating the canonical path integral in the true 2D-dimensional phase space. Since only paths moving forward in time are integrated, the resulting propagator depends on how the time is chosen; i.e., it depends on the reference system. In order for the propagator to satisfy the properties of a unitary theory, the time must be attached to a Killing vector. Although the measure is unique (it is the Liouville measure), the skeletonization of the phase-space functional action is ambiguous. One such ambiguity is exploited to obtain different propagators obeying the Klein-Gordon equation with different couplings to quantities related to the shape of the reference system (spatial curvature, etc.).

Affiliated with

Also associated with

No associations

Rating

Path integral for the relativistic 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 Path integral for the relativistic particle in curved space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Path integral for the relativistic particle in curved space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1051381