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

Details Conformal transformations of the S-matrix; $β$-function identifies change of spacetime Conformal transformations of the S-matrix; $β$-function identifies change of spacetime

2010-04-19

arxiv.org/abs/1004.3180v2

Phys.Rev.D82.025001,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.82.025001

First conformal transformations of the $S$-matrix are derived in massless $\phi^4$-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.

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