Neutrix Calculus and Finite Quantum Field Theory

Details Neutrix Calculus and Finite Quantum Field Theory Neutrix Calculus and Finite Quantum Field Theory

2004-10-28

arxiv.org/abs/hep-th/0410285v4

J.Phys. A38 (2005) L317

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; LaTeX; version to appear in J. Phys. A: Math. Gen. as a Letter to the Editor

Scientific paper

10.1088/0305-4470/38/18/L03

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 QED 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.

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