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Nonlinear constraint in scale-invariant theories
Phys. Rev. D 41, 1327 – Published 15 February, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.1327
Abstract
We show the existence of a nonlinear constraint satisfied by fields in scale-invariant theories. Our model consists of a dilaton field and additional scalar fields in curved space-time. Using the constraint one of the fields becomes auxiliary, decreasing the number of physical degrees of freedom by 1. Implementation of the constraint in a Weyl-transformed scale-invariant model generates exponential interactions from polynomial potentials.
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