2001/01/06 by Christian Schubert · 2 citations
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1016/s0370-1573(01)00013-8
published as Phys.Rept. 355 (2001) 73-234 · 183 pages, 26 figures, to appear in Physics Reports
arxiv created 2001/01/06 · arxiv updated 2009/11/30
We review the status and present range of applications of the ``string-inspired'' approach to perturbative quantum field theory. This formalism offers the possibility of computing effective actions and S-matrix elements in a way which is similar in spirit to string perturbation theory, and bypasses much of the apparatus of standard second-quantized 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 Bern-Kosower rules from string theory. Strassler's alternative approach in terms of first-quantized 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.