Massive higher spin fields in curved spacetime and necessity of non-minimal couplings
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Publication:5347169
DOI10.1093/PTEP/PTW080zbMATH Open1361.81107arXiv1605.03363OpenAlexW2373204106MaRDI QIDQ5347169
Author name not available (Why is that?)
Publication date: 22 May 2017
Published in: (Search for Journal in Brave)
Abstract: Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin 2 case, and it is shown that two conditions should be satisfied among five non-minimal coupling constants, which we derive both in the Hamiltonian and Lagrangian formalisms. It is checked that the linearized limit of the massive gravity theory indeed has the non-minimal couplings that satisfy the conditions. We also discuss the form of the non-minimal couplings for the spin 3 case.
Full work available at URL: https://arxiv.org/abs/1605.03363
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