E(2)-like little group for massless particles and neutrino polarization as a consequence of gauge invariance

Journal Article · Wed Dec 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.3717· OSTI ID:6420177

Han, D; Kim, Y S; Son, D

The content of the isomorphism between the two-dimensional Euclidean group and the E(2)-like little group for massless particles is studied in detail. Representations of the E(2) group are explicitly constructed. The finite-dimensional representations which correspond to physical massless particles are discussed in detail, particularly for the cases of spin 1 and (1/2). For photons, the little-group transformation matrix is reduced to the transpose of the coordinate transformation matrix in the E(2) plane. In the case of spin-(1/2) particles, it is shown that the polarization of neutrinos is a consequence of the requirement of gauge invariance.

• Research Organization: Systems and Applied Sciences Corporation, Riverdale, Maryland 20737
• OSTI ID: 6420177
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
EUCLIDEAN SPACE
FERMIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LEPTONS
LORENTZ TRANSFORMATIONS
MASSLESS PARTICLES
MATHEMATICAL SPACE
NEUTRINOS
PARTICLE PROPERTIES
POLARIZATION
RIEMANN SPACE
SPACE
SPACE-TIME
SPIN
TRANSFORMATIONS