Scalar effective action in Krein space quantization

Abstract

In this paper, the λϕ^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 β-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 β-function is the same in the two different methods.

11 pages

References in corpus (2)

• Quantum Gravity at a Lifshitz Point
• "Massless" vector field in de Sitter Universe

Cited by in corpus (7)

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• Krein Regularization of QED
• Krein Regularization of λϕ^4
• "Krein" regularization method
• A brief review on the Problem of Divergence in Krein Space Quantization
• A Krein Quantization Approach to Klein Paradox
• Euler-Heisenberg lagrangian through Krein regularization