The factor-ordering problem must be regulated

Details The factor-ordering problem must be regulated The factor-ordering problem must be regulated

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.3641t&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 12, 15 December 1987, pp.3641-3650

Physics

33

Scientific paper

Three points are stressed concerning the factor-ordering problem of canonical quantum gravity. First, the problem is real; dimensional regularization in the covariant formalism permits us to systematically ignore it, but does not provide a resolution. Second, no resolution of the problem is possible until the naive constraint algebra is first regulated to remove divergences arising from singular operator products. This point is underlined with an example from the literature. Third, we argue that whatever regulation technique is employed should respect general coordinate invariance or some analog of it. Although the traditional variables of canonical quantum gravity are used, our conclusions apply with equal force to the new variables proposed by Ashtekar.

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