Local interactions of higher-spin potentials that are gauge invariant in linear approximation

We study connected Wightman functions of N conserved currents, each of which is formed from a scalar field and has even spin l i . The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension D → D − ε . We evaluate the residue of ε −1 only, which is a...

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Bibliographic Details
Published in:Physics of atomic nuclei 2010-03, Vol.73 (3), p.518-523
Main Author: Ruhl, W
Format: Article
Language:English
Subjects:
ANALYTIC FUNCTIONS
ANGULAR MOMENTUM
APPROXIMATIONS
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIMENSIONS
Elementary Particles and Fields
FUNCTIONS
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
Particle and Nuclear Physics
PARTICLE PROPERTIES
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
SCALAR FIELDS
SPECTRA
SPIN
ULTRAVIOLET SPECTRA
VERTEX FUNCTIONS
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Summary:We study connected Wightman functions of N conserved currents, each of which is formed from a scalar field and has even spin l i . The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension D → D − ε . We evaluate the residue of ε −1 only, which is a local interaction Lagrangian density and gauge invariant in linear approximation. The text was submitted by the author in English.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778810030154