1995/04/25 by Hidenori Sonoda, Sonoda, Hidenori
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9504133
25 pages, 2 PS figures, uses epsf, harvmac
arxiv created 1995/04/25 · arxiv updated 2009/11/30
This is the first of three papers on the short-distance properties of the energy-momentum tensor in field theory. We study the energy-momentum tensor for renormalized field theory in curved space. We postulate an exact Ward identity of the energy-momentum tensor. By studying the consistency of the Ward identity with the renormalization group and diffeomorphisms, we determine the short-distance singularities in the product of the energy-momentum tensor and an arbitrary composite field in terms of a connection for the space of composite fields over theory space. We discuss examples from the four-dimensional ϕ4 theory. In the forthcoming two papers we plan to discuss the torsion and curvature of the connection.