Conformal transformations of the S-matrix; $\beta$-function identifies change of spacetime

Abstract

First conformal transformations of the $S$-matrix are derived in massless ${\varphi }^4$-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 $S$-matrix depends one is able to identify via the $\beta$-function an underlying new spacetime with non-trivial conformal (flat) metric.

16 pages, 1 figure; v2: reference added, minor clarifications, journal reference added

References in corpus (4)

• Cosmological horizons and reconstruction of quantum field theories
• Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property
• Conformal generally covariant quantum field theory: The scalar field and its Wick products
• Conformal Transformations of S-Matrix in Scalar Field Theory

Cited by in corpus (3)

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