Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-07-02
Contemp.Math.203:271-288,1997
Physics
High Energy Physics
High Energy Physics - Theory
Published in Proc. Clifford Conference, Madeira'95. H. Nencka and J.-P. Bourgiugnon (eds). Contemporary Mathematics 203, pp. 2
Scientific paper
In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This has been proposed for studying the Quantum Hall Effect as well as High-Temperature Superconductivity. The gauge field can be coupled to a scalar field either relativistically or non-relativistically. In both cases, one admits finite-energy, vortex solutions.
Duval Christian
Horváthy Peter A.
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