Demystification of nonrelativistic theories in curved background

摘要

We discuss a new formalism for constructing a nonrelativistic (NR) theory in curved background. Named as galilean gauge theory, it is based on gauging the global galilean symmetry. It provides a systematic algorithm for obtaining the covariant curved spacetime generalisation of any NR theory defined in flat spacetime. The resulting background is just the Newton-Cartan manifold. The example of NR free particle is explicitly demonstrated.