Covariant propagators for massive arbitrary-spin fields

The quasinormal modes (QNMs) associated with the decay of massless arbitrary spin fields around a Schwarzschild black hole are investigated by using the continued fraction method in a united form and their universal properties are found. It is shown that these QNMs become evenly spaced for large angular quantum number l (for the boson perturbations) and j (for the fermion perturbations) and the spacing is given by [Formula: see text] which is independent of the spin number s and overtone number n, and in the complex plane they have an interesting trend which depends on n before they become the same value with the increasing l (or j). The distribution of the QNMs with arbitrary spin fields for large values l (or j) and small n can be expressed as [Formula: see text]. It is also shown that the angular quantum number has the surprising effect of increasing real part of the QNMs, but it almost does not affect the imaginary part, especially for the lowest lying mode. In addition, the spacing for imaginary part of the QNMs at high overtones is equidistant and equals to -i/4M, which is independent of l (or j) and s.

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A note on the evolution of arbitrary spin fields in the Schwarzschild-monopole spacetime

Classical and Quantum Gravity ◽

10.1088/0264-9381/25/3/038002 ◽

2008 ◽

Vol 25 (3) ◽

pp. 038002 ◽

Cited By ~ 1

Author(s):

Qiyuan Pan ◽

Jiliang Jing

Keyword(s):

Arbitrary Spin ◽

Spin Fields

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A Lagrangian with Higher Derivatives for Arbitrary Spin Fields

Australian Journal of Physics ◽

10.1071/ph780353 ◽

1978 ◽

Vol 31 (5) ◽

pp. 353

Author(s):

EA Jeffery

Keyword(s):

Arbitrary Spin ◽

Noether’S Theorem ◽

Feynman Propagator ◽

Noether's Theorem ◽

Higher Derivative ◽

Spin Fields ◽

Higher Derivatives ◽

Free Fields ◽

Dirac Spin

A Lagrangian that generalizes the Dirac spin t Lagrangian is given. This contains up to 2jth order derivatives for spin j, but can be readily quantized for free fields. Noether's theorem is generalized and the results are shown to conform with other known quantization procedures for arbitrary spin particles. Use of the higher derivative Lagrangian overcomes some of the difficulties encountered by others in rigorously deriving a covariant Feynman propagator.

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