Exotic galilean symmetry in non-commutative field theory

TL;DR

This paper demonstrates that a non-relativistic non-commutative field theory possesses an exotic Galilean symmetry similar to that previously identified in point particle models.

Contribution

It extends the concept of exotic Galilean symmetry to non-commutative field theories, showing their symmetry structure aligns with that of point particles.

Findings

Non-commutative field theory admits exotic Galilean symmetry.

Symmetry structure parallels that of point particles.

Supports the universality of exotic Galilean symmetry in non-commutative systems.

Abstract

The non-relativistic version of the non commutative Field Theory, recently introduced by Lozano, Moreno and Schaposnik [1], is shown to admit the ``exotic'' Galilean symmetry found before for point particles.