Exact scheme independence at two loops

Details Exact scheme independence at two loops Exact scheme independence at two loops

2003-09-26

arxiv.org/abs/hep-th/0309242v2

Phys.Rev. D69 (2004) 065009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 20 figures, uses revtex4. One- and two-loop seed action contributions added, typos corrected, version to appear in P

Scientific paper

10.1103/PhysRevD.69.065009

We further develop an algorithmic and diagrammatic computational framework for very general exact renormalization groups, where the embedded regularisation scheme, parametrised by a general cutoff function and infinitely many higher point vertices, is left unspecified. Calculations proceed iteratively,by integrating by parts with respect to the effective cutoff, thus introducing effective propagators, and differentials of vertices that can be expanded using the flow equations; many cancellations occur on using the fact that the effective propagator is the inverse of the classical Wilsonian two-point vertex. We demonstrate the power of these methods by computing the beta function up to two loops in massless four dimensional scalar field theory, obtaining the expected universal coefficients, independent of the details of the regularisation scheme.

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