International Journal of Theoretical Physics

, Volume 48, Issue 10, pp 2740–2747

A Naturally Renormalized Quantum Field Theory


DOI: 10.1007/s10773-009-0064-4

Cite this article as:
Rouhani, S. & Takook, M.V. Int J Theor Phys (2009) 48: 2740. doi:10.1007/s10773-009-0064-4


It was shown that quantum metric fluctuations smear out the singularities of Green functions on the light cone (Ford, arXiv:gr-qc/9707062), but it does not remove other ultraviolet divergences of the quantum field theory (QFT). We have proved that quantization in indefinite metric, i.e. QFT in Krein space, removes all divergences of the theory except light cone singularity (Gazeau, et al., Class. Quantum Gravity, 17:1415, 2000, arXiv:gr-qc/9904023; Takook, Int. J. Mod. Phys. E, 11:509, 2002, arXiv:gr-qc/0006019). In this paper, by considering the QFT in Krein space and the quantum metric fluctuations, it is shown that all divergences can be removed.


Quantum field Krein space Metric fluctuation 

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Plasma Physics Research CenterIslamic Azad UniversityTehranIran
  2. 2.Department of PhysicsRazi UniversityKermanshahIran

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