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Non-commutative field theory approach to two-dimensional vortex liquid system

Kyungsun Moon·Vincent Pasquier·Chaiho Rim·Joonhyun Yeo
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Abstract

We investigate the non-commutative (NC) field theory approach to the vortex liquid system restricted to the lowest Landau level (LLL) approximation. NC field theory effectively takes care of the phase space reduction of the LLL physics in a $\star$-product form and introduces a new gauge invariant form of a quartic potential of the order parameter in the Ginzburg-Landau (GL) free energy. This new quartic interaction coupling term has a non-trivial equivalence relation with that obtained by Brézin, Nelson and Thiaville in the usual GL framework. The consequence of the equivalence is discussed.

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Kyungsun Moon, Vincent Pasquier, Chaiho Rim, Joonhyun Yeo. 2004-01-15. Non-commutative field theory approach to two-dimensional vortex liquid system. https://doi.org/10.1088/0305-4470%2F37%2F3%2Fl03

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