New Dirac delta function based methods with applications to perturbative expansions in quantum field theory
Abstract
We derive new allpurpose methods that involve the Dirac delta distribution. Some of the new methods use derivatives in the argument of the Dirac delta. We highlight potential avenues for applications to quantum field theory and we also exhibit a connection to the problem of blurring/deblurring in signal processing. We find that blurring, which can be thought of as a result of multipath evolution, is, in Euclidean quantum field theory without spontaneous symmetry breaking, the strong coupling dual of the usual small coupling expansion in terms of the sum over Feynman graphs.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 October 2014
 DOI:
 10.1088/17518113/47/41/415204
 arXiv:
 arXiv:1404.0747
 Bibcode:
 2014JPhA...47O5204K
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 Cleared up typos, added comments