Energy Density Commutator for Massless Spin 3/2 Field in a Covariant Gauge | Zendy

R. Endo | Zendy; A. Hasumi | Zendy; Toshiei Kimura | Zendy

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Energy Density Commutator for Massless Spin 3/2 Field in a Covariant Gauge

Author(s) -

R. Endo,

A. Hasumi,

Toshiei Kimura

Publication year - 1979

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.61.1229

Subject(s) - physics , commutator , covariant transformation , massless particle , mathematical physics , gauge theory , gauge fixing , spin (aerodynamics) , quantum electrodynamics , quantization (signal processing) , quantum mechanics , gauge boson , lie conformal algebra , lie algebra , computer science , computer vision , thermodynamics

where the additional term r(x, x') vanishes for finite lx-x'l and is an antisymmetrical function of x and x', and it does not contribute to commutators containing the integrated quantities P0 or Jok· For interacting spin 0, 1/2, 1 field systems, the above equation (1·1) holds without r (x, x'). Recently, Das2l has shown that for a free massless Majorana spin 3/2 field the above r (x, x') no longer vanishes for space-like separations when on,e quantizes the field following the method of Senjanovic3) in a Coulomb-type gauge. His explicit form of r (x, x') is 4)

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