Gauge conditions for non-abelian Chern-Simons system consistent with equations of motion
K. Dasgupta, M.Sami, Pankaj Sharan, Anupama Mehra (Jamia Millia, Islamia New Delhi, INDIA)
TL;DR
This paper performs a comprehensive constraint analysis and selects gauge conditions for a non-abelian Chern-Simons system coupled with scalar fields, ensuring consistency with equations of motion and the Dirac-Schwinger condition.
Contribution
It provides a complete constraint analysis and identifies gauge conditions compatible with the equations of motion for the non-abelian Chern-Simons system with scalar matter.
Findings
Constraint analysis completed for the system
Gauge conditions consistent with equations of motion identified
Reduced Hamiltonian satisfies Dirac-Schwinger condition
Abstract
Complete constraint analysis and choice of gauge conditions consistent with equations of motion is done for non-abelian Chern-Simons field interacting with N-component complex scalar field. Dirac-Schwinger condition is satisfied by the reduced phase-space Hamiltonian density with respect to the Dirac bracket.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics · Numerical methods in inverse problems