Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach

Details Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach

1996-09-11

arxiv.org/abs/hep-th/9609089v1

Annals Phys. 258 (1997) 137-156

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, uses Plain TeX

Scientific paper

10.1006/aphy.1997.5696

A path-integral quantization on a homogeneous space G/H is proposed based on the guiding principle `first lift to G and then project to G/H'. It is then shown that this principle gives a simple procedure to obtain the inequivalent quantizations (superselection sectors) along with the holonomy factor (induced gauge field) found earlier by algebraic approaches. We also prove that the resulting matrix-valued path-integral is physically equivalent to the scalar-valued path-integral derived in the Dirac approach, and thereby present a unified viewpoint to discuss the basic features of quantizing on $G/H$ obtained in various approaches so far.

Affiliated with

Also associated with

No associations

Rating

Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach 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 Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273388