Scalar effective action in Krein space quantization

Details Scalar effective action in Krein space quantization Scalar effective action in Krein space quantization

2011-09-13

arxiv.org/abs/1109.2693v1

Mod.Phys.Lett. A Vol. 26, No. 1 (2011) 31--41

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1142/S0217732311034505

In this paper, the \lambda\phi^4 scalar feld effective action, in the one-loop approximation, is calculated by using the Krein space quantization. We show that the effective action is naturally fnite and the singularity does not appear in the theory. The physical interaction mass, the running coupling constant and \beta-function are then calculated. The effective potential which is calculated in the Krein space quantization is different from the usual Hilbert space calculation, however we show that \beta-function is the same in the two different methods.

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