Hamiltonian formulation of the theory with a non-abelian Chern-Simons term coupled to fermions

Journal Article · Wed Apr 10 04:00:00 EDT 1996 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1996.0042· OSTI ID:283024

Banerjee, R; Chakraborty, B ^[1]

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1. S.N. Bose National Centre for Basic Sciences, Calcutta (India)

A consistent field theoretical formulation of fermionic matter coupled to a non-abelian Chern-Simons terms is usually regarded as problematic due to the violation of (classical) Poincare covariance. The authors discuss an alternative Hamiltonian formalism, developed by Faddeev-Jackiw and Dirac, which overcomes this short-coming. The authors explicitly show that all the basic fields transform covariantly, so that the classical Poincare covariance is manifestly preserved. Schwinger conditions are verified. They also show that, within the abelian context, the conventional analysis of eliminating the gauge degrees of freedom in favour of the matter variables, is equivalent to the Dirac analysis. This is not true in the non-abelian case. A detailed analysis of the angular momentum reveals a group valued {open_quotes}anomalous spin{close_quotes}. Some interesting consequences are derived. 27 refs.

• OSTI ID: 283024
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 247; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FERMIONS
FIELD THEORIES
HAMILTONIANS
POINCARE GROUPS