Perturbative quantum field theory in the stringinspired formalism
Abstract
We review the status and present range of applications of the “stringinspired” approach to perturbative quantum field theory. This formalism offers the possibility of computing effective actions and Smatrix elements in a way which is similar in spirit to string perturbation theory, and bypasses much of the apparatus of standard secondquantized field theory. Its development was initiated by Bern and Kosower, originally with the aim of simplifying the calculation of scattering amplitudes in quantum chromodynamics and quantum gravity. We give a short account of the original derivation of the BernKosower rules from string theory. Strassler's alternative approach in terms of firstquantized particle path integrals is then used to generalize the formalism to more general field theories, and, in the abelian case, also to higher loop orders. A considerable number of sample calculations are presented in detail, with an emphasis on quantum electrodynamics.
 Publication:

Physics Reports
 Pub Date:
 December 2001
 DOI:
 10.1016/S03701573(01)000138
 arXiv:
 arXiv:hepth/0101036
 Bibcode:
 2001PhR...355...73S
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 183 pages, 26 figures, to appear in Physics Reports