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Shukla, Aradhya; Abhinav, Kumar; Panigrahi, Prasanta K.

Conservation law for massive scale-invariant photons in Weyl-invariant gravity. (English) Zbl 1354.83049

Classical Quantum Gravity 33, No. 23, Article ID 235008, 14 p. (2016).
Summary: It is demonstrated that a Stückelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure Stückelberg theory, this coupled Lagrangian has a genuine Weyl symmetry, with a non-vanishing current. The above is true in the Jordan frame, whereas in the Einstein frame, the same theory manifests as Proca theory in presence of pure gravity. It is found that broken scale invariance leads to simultaneous spontaneous breaking of the gauge symmetry.

Cited in 3 Documents

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
81V22 Unified quantum theories
53Z05 Applications of differential geometry to physics
83C40 Gravitational energy and conservation laws; groups of motions

Keywords:

Weyl invariance; massive gauge theory; current conservation; spontaneous symmetry breaking
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References:

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