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arXiv · 1004.3180

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

S. Pottel·K. Sibold
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Abstract

First conformal transformations of the $S$-matrix are derived in massless $ϕ^4$-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 $β$-function an underlying new spacetime with non-trivial conformal (flat) metric.

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S. Pottel, K. Sibold. 2010-07-19. Conformal transformations of the S-matrix; $β$-function identifies change of spacetime. https://doi.org/10.1103/physrevd.82.025001

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