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arXiv · 2008.05727

Demystification of Non-relativistic Theories in Curved Background

Rabin Banerjee
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Abstract

We discuss a new formalism for constructing a non-relativistic (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 space time generalisation of any NR theory defined in flat space time. The resulting background is just the Newton- Cartan manifold. The example of NR free particle is explicitly demonstrated.

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Rabin Banerjee. 2020-08-13. Demystification of Non-relativistic Theories in Curved Background. https://doi.org/10.1142/s0218271820430154

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