Neutrix Calculus and Finite Quantum Field Theory
High Energy Physics - Theory
2009-11-10 v4 General Relativity and Quantum Cosmology
Quantum Physics
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 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.
Keywords
Cite
@article{arxiv.hep-th/0410285,
title = {Neutrix Calculus and Finite Quantum Field Theory},
author = {Y. Jack Ng and H. van Dam},
journal= {arXiv preprint arXiv:hep-th/0410285},
year = {2009}
}
Comments
10 pages; LaTeX; version to appear in J. Phys. A: Math. Gen. as a Letter to the Editor