Perturbation theory in (2,2) signature
arXiv:1302.4290 · doi:10.1103/PhysRevD.87.105017
Abstract
We identify a natural analytic continuation in four dimensions from Minkowski signature to a signature with two time-like momentum components. For two, three and four-point diagrams at fixed external momenta, this continuation can be implemented as a countour deformation that leaves dependence on the momenta unchanged. For arbitrary ultraviolet-finite scalar diagrams it is possible to do two integrals per loop in terms of simple poles in the new signature. This results in a representation of any such diagram as a sum of terms, each with two remaining integrals per loop.
arXiv comment32 pages, 5 figures
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