Quantizations of the Fermion Coupled {CP}**1 Model With the {Chern-Simons} Term: Statistics Transmutation in Commutator Algebra - INSPIRE

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Quantizations of the Fermion Coupled {CP}**1 Model With the {Chern-Simons} Term: Statistics Transmutation in Commutator Algebra

Toyoki Matsuyama
(
- Kyoto U., Yukawa Inst., Kyoto
)

Apr, 1989

30 pages

Published in:

Prog.Theor.Phys. 84 (1990) 1220-1239

DOI:

10.1143/PTP.84.1220

Report number:

RIFP-803

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Abstract: (Oxford Journals)

We consider the CP^1 model with the Chern-Simons term coupled to a fermion, which is a possible model of the high-T_c superconductivity. By using the Dirac algorithm, we construct the generalized Hamiltonian formalism for this system and quantize it canonically. The path-integral quantization is also performed following the Faddeev-Senjanovic procedure. On the basis of the quantized system, we show that the bose-fermi transmutation of each field content occurs, by investigating the equal-time (anti-) commutators.

field theoretical model: CP(1)
fermion
Chern-Simons term
quantization: Hamiltonian formalism
quantization: path integral
spin: statistics
statistics: spin
commutation relations
bosonization
fermionization

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