Conformal transformations of the S-matrix; ββ-function identifies change of spacetime

preprint2010arXivOpen access

Abstract

First conformal transformations of the SS-matrix are derived in massless ϕ4ϕ^4-theory. Then it is shown that the anomalous transformations can be rewritten as a symmetry once one has introduced a local coupling and interprets the charge of the symmetry accordingly. By introducing a suitable effective coupling on which the SS-matrix depends one is able to identify via the ββ-function an underlying new spacetime with non-trivial conformal (flat) metric.

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