Path Integral Quantization of the First Order Einstein-Hilbert Action from its Canonical Structure
Abstract
We consider the form of the path integral that follows from canonical quantization and apply it to the first order form of the Einstein-Hilbert action in dimensions. We show that this is inequivalent to what is obtained from applying the Faddeev-Popov (FP) procedure directly. Due to the presence of tertiary first class constraints, the measure of the path integral is found to have a substantially different structure from what arises in the FP approach. In addition, the presence of second class constraints leads to non-trivial ghosts, which cannot be absorbed into the normalization of the path integral. The measure of the path integral lacks manifest covariance.
Keywords
Cite
@article{arxiv.1207.2302,
title = {Path Integral Quantization of the First Order Einstein-Hilbert Action from its Canonical Structure},
author = {Farrukh Chishtie and D. G. C. McKeon},
journal= {arXiv preprint arXiv:1207.2302},
year = {2015}
}
Comments
18 pages, LaTeX2e format, typos corrected, further discussions included, published version