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LETTER TO THE EDITOR

Neutrix calculus and finite quantum field theory

Y Jack Ng et al 2005 J. Phys. A: Math. Gen. 38 L317-L323   doi: 10.1088/0305-4470/38/18/L03  Help

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Y Jack Ng and H van Dam
Institute of Field Physics, Department of Physics and Astronomy, University of North Carolina, Chapel Hill, NC 27599-3255, USA
E-mail: yjng@physics.unc.edu

Abstract. In general, quantum field theories (QFT) require regularizations and infinite renormalizations due to ultraviolet divergences in their loop calculations. Furthermore, perturbation series in theories like quantum electrodynamics are not convergent series, but are asymptotic series. We apply neutrix calculus, developed in connection with asymptotic series and divergent integrals, to QFT, obtaining finite renormalizations. While none of the physically measurable results in renormalizable QFT is changed, quantum gravity is rendered more manageable in the neutrix framework.

PACS numbers: 03.70.+k, 11.10.Gh, 11.10.−z

Print publication: Issue 18 (6 May 2005)
Received 7 March 2005, in final form 31 March 2005
Published 18 April 2005

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