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Ghost and Tachyon Free Propagation up to spin-3 in Lorentz Invariant Field Theories
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We complete the set of spin-projector operators for fields up to rank-3 by providing all operators connecting sectors with same spin and parity. In this way we can broaden the search for unitary and non-tachyonic particle propagation in quadratic lagrangian with inter-field mixing. We use the properties of projector algebra to reanalyze known theories and shed light towards new healthy ones. We do so with full control over the gauge constraints by working the form of the saturated propagator in an appropriate frame of reference.
Forward citations
Cited by 2 Pith papers
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Numerical polology: towards next-generation model-building for cosmology
Numerical polology framework samples coupling space to discover ghost-free tensor field theories up to rank three for cosmology, then applies resulting priors to black hole superradiance, dynamical dark energy, and GW data.
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Infrared foundations for quantum geometry II: Catalogue of all torsion-like theories including new ghost-tachyon-free cases
A systematic catalogue of symmetric pair-antisymmetric rank-three field theories yields 22 ghost-tachyon-free models, all propagating vector torsion and none propagating scalar or pseudoscalar torsion.
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