Note on a description of a perfect fluid by the Kalb–Ramond field

Author:

Matsuo Yutaka1,Sugamoto Akio2

Affiliation:

1. Department of Physics & Trans-scale Quantum Science Institute & Mathematics and Informatics Center, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

2. Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Otsuka, Bunkyo-ku, Tokyo 112-8610, Japan

Abstract

Abstract We explore a formulation of a perfect fluid in $3+1$ dimensions in terms of the Kalb–Ramond field. This was proposed long ago by Nambu and one of the present authors. In this note, we refine the statements in a more explicit form. We also comment on the duality with the Gross–Pitaevsky formulation written by a complex scalar field.

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

Reference17 articles.

1. Dual transformation in Abelian gauge theories

2. Quantum hydrodynamics

3. Dual cascade of energy and helicity accompanying mass and spin in non-Abelian quantum turbulence of spinor Bose–Einstein condensates;Kobayashi

4. On foundation of the generalized Nambu mechanics

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