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Classical and quantum theory of the massive spin-two field | Adrian Koenigstein
; Francesco Giacosa
; Dirk H. Rischke
; | Date: |
1 Aug 2015 | Abstract: | In this paper, we review classical and quantum field theory of massive
non-interacting spin-two fields. We derive the equations of motion and
Fierz-Pauli constraints via three different methods: the eigenvalue equations
for the Casimir invariants of the Poincar’{e} group, a Lagrangian approach,
and a covariant Hamilton formalism. We also present the conserved quantities,
the solution of the equations of motion in terms of polarization tensors, and
the tree-level propagator. We then discuss canonical quantization by
postulating commutation relations for creation and annihilation operators. We
express the energy, momentum, and spin operators in terms of the former. As an
application, quark-antiquark currents for tensor mesons are presented. In
particular, the current for tensor mesons with quantum numbers $J^{PC}=2^{-+}$
is, to our knowledge, given here for the first time. | Source: | arXiv, 1508.0110 | Services: | Forum | Review | PDF | Favorites |
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