Research PapersNo Access

ON LOCAL DILATATION INVARIANCE

T. E. CLARK

Department of Physics, Purdue University, West Lafayette, IN 47907-2036, USA

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and

S. T. LOVE

Department of Physics, Purdue University, West Lafayette, IN 47907-2036, USA

Corresponding author

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https://doi.org/10.1142/S021773231250174XCited by:1 (Source: Crossref)

Abstract

The relationship between local Weyl scaling invariant models and local dilatation invariant actions is critically scrutinized. While actions invariant under local Weyl scalings can be constructed in a straightforward manner, actions invariant under local dilatation transformations can only be achieved in a very restrictive case. The invariant couplings of matter fields to an Abelian vector field carrying a nontrivial scaling weight can be easily built, but an invariant Abelian vector kinetic term can only be realized when the local scale symmetry is spontaneously broken.

Keywords:

PACS: 11.15.Ex, 11.30.Qc

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