Revisiting non-relativistic limits
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Publication:2635305
DOI10.1007/JHEP04(2015)155zbMATH Open1388.83355arXiv1412.2738WikidataQ104552500 ScholiaQ104552500MaRDI QIDQ2635305
Author name not available (Why is that?)
Publication date: 31 May 2018
Published in: (Search for Journal in Brave)
Abstract: We show that the full spurionic symmetry of Galilean-invariant field theories can be deduced when those theories are the limits of relativistic parents. Under the limit, the non-relativistic daughter couples to Newton-Cartan geometry together with all of the symmetries advocated in previous work, including the recently revived Milne boosts. Our limit is a covariant version of the usual one, where we start with a gapped relativistic theory with a conserved charge, turn on a chemical potential equal to the rest mass of the lightest charged state, and then zoom in to the low energy sector. This procedure gives a simple physical interpretation for the Milne boosts. Our methods even apply when there is a magnetic moment, which is known to modify the non-relativistic symmetry transformations. We focus on two examples, taking the non-relativistic limits of scalar field theory and hydrodynamics.
Full work available at URL: https://arxiv.org/abs/1412.2738
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