Journal
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
Volume 2016, Issue 7, Pages -Publisher
OXFORD UNIV PRESS INC
DOI: 10.1093/ptep/ptw080
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Funding
- SCOAP3
- Grants-in-Aid for Scientific Research [23540304, 16K05321, 16K05322] Funding Source: KAKEN
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Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin 1 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.
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