Digitale Medien
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 448-456
ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
The nontrivially gauge-invariant Lagrangian field equations of arbitrary helicity are constructed directly by integration of the corresponding non-Lagrangian Poincaré field strengths based on the Lorentz irreps of unmixed spin. All the details of the gauge properties of the Lagrangian formulation of the free massless Poincaré irrep fields are derived systematically and uniformly for arbitrary spin from the very simple field-strength formulation as a direct consequence of an integration process. The gauge transformations, including the tracelessness of the gauge parameters, the form of the fermionic and bosonic potential field equations (first-, and second-order, respectively), and the vanishing double trace of the higher-spin (≥ (7)/(2) ) potentials are all seen to be natural consequences of the integration of the classical equations for the field strengths without need for appeal to other requirements such as those of quantum field theory. Thus the equivalence (modulo gauge freedom and derivability from a Lagrangian) of the field strength and standard potential formulations of classical free fields are demonstrated explicitly, and uniformly for arbitrary helicity.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.527625
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