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A generalized consistency condition for massless fields. (English) Zbl 0854.53056

Summary: Using a generalized consistency condition (gcc), we construct couplings between massless scalar fields and the spin 2 gravitational field. Specifically, we consider all possible third-order interaction terms for scalar fields \(\phi\) and \(a_{\mu \nu}\) and use the gcc to single out one. We also find three generalized current identities associated with the massless gauge fields.

MSC:

53Z05 Applications of differential geometry to physics
81T13 Yang-Mills and other gauge theories in quantum field theory
83C47 Methods of quantum field theory in general relativity and gravitational theory
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