Euler fluid in 2+1 dimensions as a gauge theory and an action for the Euler fluid in any dimension

Author(s)

Nastase, Horatiu ; Sonnenschein, Jacob

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 109, n. 8, p. 11-pg., 2024-04-01.

Abstract

In this paper we parallel the construction of Tong of a gauge theory for shallow water, by writing a gauge theory for the Euler fluid in 2 + 1 dimensions. We then extend it to a Euler fluid coupled to an electromagnetic background. We argue that the gauge theory formulation provides a topological argument for the quantization of 2 + 1 dimensional Euler Hopfion solution. In the process, we find a (nongauge) action for the Euler fluid that can be extended to any dimension, including the physical 3 + 1 dimensions. We also discuss several aspects of the Arnold-Beltrami-Childress flow. (AU)

• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects
• FAPESP's process: 19/13231-7 - Chile - São Paulo network on holography
• Grantee: Horatiu Stefan Nastase
• Support Opportunities: Regular Research Grants
• FAPESP's process: 19/21281-4 - Gauge / gravity duality
• Grantee: Horatiu Stefan Nastase
• Support Opportunities: Research Projects - Thematic Grants