Abelian Chern-Simons term in superfluid 3He-A |
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| Affiliation: | 1. Department of Mathematics, Vaagdevi College of Engineering (Autonomous), Bollikunta, Warangal 506005, Telangana, India;2. Laboratoire de Physique Quantique de la Matière et Modélisation Mathématique (LPQ3M), University of Mascara, Algeria;3. Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid 72511, Egypt;4. Department of Mathematics, Faculty of Science, Northern Border University, Arar 1321, Saudi Arabia;5. Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan |
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| Abstract: | We show in this paper that an Abelian Chern-Simons term is induced in (2 + 1)- and (3 + 1)-dimensional rotating superfluid 3He-A and that it plays an important role in its dynamics. Because U(1) symmetry is spontaneously broken in 3He-A, a Goldstone mode appears and contributes to the induced Chern-Simons term. We found that the coefficient of the Chern-Simons term, which is equivalent to Hall conductance, depends on an infra-red cut-off of the Goldstone mode, and that the orbital angular momentum of 3He-A in a cylinder geometry is derived from the Chern-Simons term. |
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