Wick Rotation, Regularization of Propagators by a Complex Metric and Multidimensional Cosmology

Details Wick Rotation, Regularization of Propagators by a Complex Metric and Multidimensional Cosmology Wick Rotation, Regularization of Propagators by a Complex Metric and Multidimensional Cosmology

1997-05-06

arxiv.org/abs/gr-qc/9705008v1

Grav.Cosmol. 3 (1997) 8-16

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, Latex. To appear in Grav. and Cosmol. v.3, No.1 (1997)

Scientific paper

The Wick rotation in quantum field theory is considered in terms of analytical continuation in the signature matrix parameter w = eta_00. Regularization of propagators by a complex metric parameter in most cases preserves (i) the convergence of Feynmann integrals (understood as Lebesgue integrals) if the corresponding integrals of Euclidean theory are convergent; (ii) the regularity of propagators in the coordinate representation if there is regularity in the Euclidean case. The well-known covariant regularization by a complex mass does not in general satisfy these conditions. Theories with a large family of propagators regularized by complex metric were previously considered by the author, and analogues of the Bogoliubov-Parasiuk-Hepp-Zimmermann theorems were proved. [V.D.Ivashchuk, Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekhn. i Math. Nauk, 3 (1987), 8; 1 (1988), 10]. This paper shows that in the case of multidimensional cosmology describing the evolution of n spaces M_i, i = 1, ..., n, the Wick rotation in the minisuperspace may be performed by analytical continuation in the dimensions N_i = dim M_i or in the dimension of the time submanifold M_0.

Affiliated with

Also associated with

No associations

Rating

Wick Rotation, Regularization of Propagators by a Complex Metric and Multidimensional Cosmology 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 Wick Rotation, Regularization of Propagators by a Complex Metric and Multidimensional Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wick Rotation, Regularization of Propagators by a Complex Metric and Multidimensional Cosmology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-641041