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Title: Spin-2 particles in gravitational fields

Abstract

We give a solution of the wave equation for massless, or massive spin-2 particles propagating in a gravitational background. The solution is covariant, gauge-invariant and exact to first order in the background gravitational field. The background contribution is confined to a phase factor from which geometrical and physical optics can be derived. The phase also describes Mashhoon's spin-rotation coupling and, in general, the spin-gravity interaction.

Authors:
 [1];  [2];  [3]
  1. Department of Physics, University of Regina, Regina, Sask, S4S 0A2 (Canada)
  2. (Canada)
  3. (Italy)
Publication Date:
OSTI Identifier:
21011087
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.044022; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; GAUGE INVARIANCE; GRAVITATION; GRAVITATIONAL FIELDS; GRAVITONS; MASSLESS PARTICLES; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; ROTATION; SPIN; WAVE EQUATIONS

Citation Formats

Papini, G., Prairie Particle Physics Institute, Regina, Sask, S4S 0A2, and International Institute for Advanced Scientific Studies, 89019 Vietri sul Mare. Spin-2 particles in gravitational fields. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.044022.
Papini, G., Prairie Particle Physics Institute, Regina, Sask, S4S 0A2, & International Institute for Advanced Scientific Studies, 89019 Vietri sul Mare. Spin-2 particles in gravitational fields. United States. doi:10.1103/PHYSREVD.75.044022.
Papini, G., Prairie Particle Physics Institute, Regina, Sask, S4S 0A2, and International Institute for Advanced Scientific Studies, 89019 Vietri sul Mare. Thu . "Spin-2 particles in gravitational fields". United States. doi:10.1103/PHYSREVD.75.044022.
@article{osti_21011087,
title = {Spin-2 particles in gravitational fields},
author = {Papini, G. and Prairie Particle Physics Institute, Regina, Sask, S4S 0A2 and International Institute for Advanced Scientific Studies, 89019 Vietri sul Mare},
abstractNote = {We give a solution of the wave equation for massless, or massive spin-2 particles propagating in a gravitational background. The solution is covariant, gauge-invariant and exact to first order in the background gravitational field. The background contribution is confined to a phase factor from which geometrical and physical optics can be derived. The phase also describes Mashhoon's spin-rotation coupling and, in general, the spin-gravity interaction.},
doi = {10.1103/PHYSREVD.75.044022},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • Relativistic theory is investigated for the spin-2 particle case, where the components of the wave function of a Dirac equation are the components of a symmetric tensor of second rank and of a vector. A most general mass term, compatible with the covariance of the Dirac equation, is used to obtain the linearized Einstein equations for the gravitational field as a zero mass limit. (C.J.G.)
  • The Rarita-Schwinger equation for a spin-3/2 particle with minimal electromagnetic coupling is solved completely in the case when a constant homogeneous external magnetic field H is present. It is shown that the spectrum of energy eigenvalues includes complex values if H is such that eta equivalent (2eH/3m$sup 2$) > 1, and further that the norm of the Rarita-Schwinger wave function (i.e., the total ''charge'' integral defined from the Lagrangian) which is positive definite for eta < 1 becomes indefinite (even after taking account of the constraints) when eta exceeds unity. These results confirm that the difficulties in quantization first discoveredmore » by Johnson and Sudarshan are a reflection of the indefiniteness of the norm which appears already at the c- number level, and suggest that the nature of the energy spectrum (whether or not complex values are present) in the presence of very large magnetic fields would provide a quick means of predicting whether such difficulties would arise in quantization.« less