Boson-fermion duality in four dimensions: comments on the paper of Luther and Schotte

Journal Article · Sat Nov 01 00:00:00 EST 1986 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00668690· OSTI ID:6837414

Garbaczeaski, P

The Fock space for the fermion field can be identified with the Fock space for the boson field, provided the overall numbers of internal degrees of freedom are the same. As a consequence, the respective free field Hamiltonian systems are equivalent (dual): the four-component neutrino model is thus equivalent to the doublet of independent (''electric'' and ''magnetic,'' respectively) Maxwell fields, which are quantized in the Coulomb gauge. This statement arises on the field theory level, and seems to make doubtful the claim that realistic photons can be constructed from (bound) neutrino pairs: each (anti)neutrino degree should be represented by the photon-type (''electric'' and ''magnetic,'' respectively) degree of freedom.

• Research Organization: Univ of Bielefeld, Bielefeld
• OSTI ID: 6837414
• Journal Information: Int. J. Theor. Phys.; (United States), Vol. 25:11
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DUALITY
FERMIONS
LATTICE FIELD THEORY
FOCK REPRESENTATION
ANNIHILATION OPERATORS
BOSE-EINSTEIN GAS
CREATION OPERATORS
DEGREES OF FREEDOM
FERMI GAS
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIANS
NEUTRINOS
PARTICLE INTERACTIONS
PARTICLE MODELS
PHOTONS
SPIN
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
FIELD THEORIES
FLUIDS
GASES
INTERACTIONS
LEPTONS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
645400* - High Energy Physics- Field Theory