Covariant wave equations for charged particles of higher spin in an arbitrary gravitational field

1967 ◽  
Vol 52 (4) ◽  
pp. 1242-1253 ◽  
Author(s):  
H. A. Cohen
Keyword(s):  
Gravitational Field ◽  
Wave Equations ◽  
Charged Particles ◽  
Higher Spin

scholarly journals Off-shell higher-spin fields in AdS4 and external currents

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
N.G. Misuna
Keyword(s):  
Spin System ◽  
Wave Equations ◽  
Current System ◽  
De Sitter ◽  
Arbitrary Integer ◽  
Shell System ◽  
Integer Spin ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

Abstract We construct an unfolded system for off-shell fields of arbitrary integer spin in 4d anti-de Sitter space. To this end we couple an on-shell system, encoding Fronsdal equations, to external Fronsdal currents for which we find an unfolded formulation. We present a reduction of the Fronsdal current system which brings it to the unfolded Fierz-Pauli system describing massive fields of arbitrary integer spin. Reformulating off-shell higher-spin system as the set of Schwinger–Dyson equations we compute propagators of higher-spin fields in the de Donder gauge directly from the unfolded equations. We discover operators that significantly simplify this computation, allowing a straightforward extraction of wave equations from an unfolded system.

The Nordström theory

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Gravitational Field ◽  
Scalar Field ◽  
Equivalence Principle ◽  
Charged Particles ◽  
Inertial Mass ◽  
Massless Scalar ◽  
Weak Equivalence ◽  
Massless Scalar Field ◽  
Particle Charge ◽  
Weak Equivalence Principle

This chapter turns to the description of the interaction of a scalar field with particles which ‘feel’—that is, ‘charged’ particles. If the field is massless, and therefore long-range, and if the particle charge corresponds to its inertial mass, we have what is known as Nordström theory, a coherent theory of gravity which, however, disagrees with experiment. Nordström theory describes gravity by means of a massless scalar field φ‎. According to the ‘weak equivalence principle’, gravitational masses are equal to inertial masses, m = mg. When velocities are small, the gravitational field created is also weak.

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