Operators, Geometry and Quanta by Dmitri Fursaev & Dmitri Vassilevich

Author:Dmitri Fursaev & Dmitri Vassilevich
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

(7.70)

(7.71)

(The difference in the sign with respect to the gravity action in the Lorentzian theory (1.20) is related to the Wick rotation.) The constants G B ,Λ B ,c i are called the “bare” constants. Coefficients a p (P E ) in (7.67) are integrals of curvature powers on , see (4.30)–(4.32). The quadratic curvature terms in (7.71) are needed to eliminate the logarithmic divergences determined by a 4(P E ). The logarithmic term is non-local. It reflects the presence of infrared divergences, which have to be treated in a different way.

The renormalization prescription consists in adding the divergent part W div[g E ,δ] to the bare classical action and redefining the couplings

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