scholarly journals ννγamplitude in an external homogeneous electromagnetic field

2000 ◽  
Vol 62 (11) ◽  
Author(s):  
R. Shaisultanov
Keyword(s):  
Electromagnetic Field ◽  
Homogeneous Electromagnetic Field

scholarly journals MASSIVE FIELDS WITH ARBITRARY INTEGER SPIN IN HOMOGENEOUS ELECTROMAGNETIC FIELD

2000 ◽  
Vol 15 (04) ◽  
pp. 535-552 ◽  
Author(s):  
S. M. KLISHEVICH
Keyword(s):  
Electromagnetic Field ◽  
Massive Particle ◽  
Tensor Fields ◽  
Arbitrary Integer ◽  
Integer Spin ◽  
Constant Electromagnetic Field ◽  
Electromagnetic Field Strength ◽  
Spin Fields ◽  
Homogeneous Electromagnetic Field ◽  
Dimensionality Of Space

We study the interaction of gauge fields of arbitrary integer spins with the constant electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian of integer spin fields in the external field to purely algebraic problem of finding a set of operators with certain features using the representation of the high-spin fields in the form of vectors in a pseudo-Hilbert space. We consider such a construction up to the second order in the electromagnetic field strength and also present an explicit form of interaction Lagrangian for a massive particle of spin s in terms of symmetrical tensor fields in linear approximation. The result obtained does not depend on dimensionality of space–time.

Relativistic string in a constant homogeneous electromagnetic field

1977 ◽  
Vol 32 (2) ◽  
pp. 672-680 ◽  
Author(s):  
B. M. Barbashov ◽  
A. L. Koshkarov ◽  
V. V. Nesterenko
Keyword(s):  
Electromagnetic Field ◽  
Relativistic String ◽  
Homogeneous Electromagnetic Field

scholarly journals MASSIVE FIELDS WITH ARBITRARY HALF-INTEGER SPIN IN CONSTANT ELECTROMAGNETIC FIELD

2000 ◽  
Vol 15 (05) ◽  
pp. 609-624 ◽  
Author(s):  
S. M. KLISHEVICH
Keyword(s):  
Electromagnetic Field ◽  
External Electromagnetic Field ◽  
Tensor Fields ◽  
Gauge Transformations ◽  
Integer Spin ◽  
Half Integer ◽  
Constant Electromagnetic Field ◽  
Higher Spin ◽  
Spin Fields ◽  
Homogeneous Electromagnetic Field

We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian and transformations of the half-integer spin fields in the external field to an algebraic problem of search for a set of operators with certain algebraic features using the representation of the higher-spin fields as vectors in a pseudo-Hilbert space. We consider such construction at linear order in the external electromagnetic field and also present an explicit form of interaction Lagrangians and gauge transformations for the massive particles of spins [Formula: see text] and [Formula: see text] in terms of symmetric spin-tensor fields. The obtained result is valid for space–time of arbitrary even dimension.

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