Revisiting nonrelativistic limits
Here, we show that the full spurionic symmetry of Galileaninvariant field theories can be deduced when those theories are the limits of relativistic parents. Under the limit, the nonrelativistic daughter couples to NewtonCartan 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 nonrelativistic symmetry transformations. We focus on two examples. Free scalars are used to demonstrate the basic procedure, whereas hydrodynamics is used in order to exhibit the power of this approach in a fully dynamical setting, correcting several inaccuracies in the existing literature.
 Authors:

^{[1]};
^{[2]}
 State Univ. of New York (SUNY), Stony Brook, NY (United States). C.N. Yang Inst. for Theoretical Physics
 Univ. of Washington, Seattle, WA (United States). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 SC0011637
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Washington, Seattle, WA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SpaceTime Symmetries; Global Symmetries; AdSCFT Correspondence
 OSTI Identifier:
 1455178
Jensen, Kristan, and Karch, Andreas. Revisiting nonrelativistic limits. United States: N. p.,
Web. doi:10.1007/JHEP04(2015)155.
Jensen, Kristan, & Karch, Andreas. Revisiting nonrelativistic limits. United States. doi:10.1007/JHEP04(2015)155.
Jensen, Kristan, and Karch, Andreas. 2015.
"Revisiting nonrelativistic limits". United States.
doi:10.1007/JHEP04(2015)155. https://www.osti.gov/servlets/purl/1455178.
@article{osti_1455178,
title = {Revisiting nonrelativistic limits},
author = {Jensen, Kristan and Karch, Andreas},
abstractNote = {Here, we show that the full spurionic symmetry of Galileaninvariant field theories can be deduced when those theories are the limits of relativistic parents. Under the limit, the nonrelativistic daughter couples to NewtonCartan 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 nonrelativistic symmetry transformations. We focus on two examples. Free scalars are used to demonstrate the basic procedure, whereas hydrodynamics is used in order to exhibit the power of this approach in a fully dynamical setting, correcting several inaccuracies in the existing literature.},
doi = {10.1007/JHEP04(2015)155},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2015,
place = {United States},
year = {2015},
month = {4}
}