Premium
Non‐Abelian tensor gauge fields and higher‐spin extension of standard model
Author(s) -
Savvidy G.
Publication year - 2006
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200510293
Subject(s) - gauge boson , introduction to gauge theory , physics , tensor field , mathematical descriptions of the electromagnetic field , gauge anomaly , supersymmetric gauge theory , gauge symmetry , hamiltonian lattice gauge theory , brst quantization , gauge theory , quantum gauge theory , symmetric tensor , mathematical physics , gauge fixing , quantum electrodynamics , quantum mechanics , exact solutions in general relativity
We suggest an extension of the gauge principle which includes non‐Abelian tensor gauge fields. The invariant Lagrangian is quadratic in the field strength tensors and describes interaction of charged tensor gauge bosons of arbitrary large integer spin 1,2,⋖. Non‐Abelian tensor gauge fields can be viewed as a unique gauge field with values in the infinite‐dimensional current algebra associated with compact Lie group. The full Lagrangian exhibits also enhanced local gauge invariance with double number of gauge parameters which allows to eliminate all negative norm states of the nonsymmetric second‐rank tensor gauge field, which describes therefore two polarizations of helicity‐two massless charged tensor gauge boson and the helicity‐zero “axion” The geometrical interpretation of the enhanced gauge symmetry with double number of gauge parameters is not yet known.