Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-08
Prog.Theor.Phys. 102 (1999) 1187-1200
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, PTPTeX
Scientific paper
10.1143/PTP.102.1187
In the conformal-gauge two-dimensional quantum gravity, the solution obtained by the perturbative or path-integral approach is compared with the one obtained by the operator-formalism approach. Treatments of the anomaly problem in both approaches are different. This difference is found to be essentially caused by the fact that the perturbative or path-integral approach is based on the T*-product (covariantized T-product), which generally violates field equations. Indeed, this fact induces some extra one-loop Feynman diagrams, which would not exist unless a nonzero contribution arose from a zero field. Some demerits of the path-integral approach are explicitly demonstrated.
Abe Mitsuo
Nakanishi Noboru
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