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Title: Revisiting non-relativistic limits

Here, 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. 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]
  1. State Univ. of New York (SUNY), Stony Brook, NY (United States). C.N. Yang Inst. for Theoretical Physics
  2. 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 1029-8479
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; Space-Time Symmetries; Global Symmetries; AdS-CFT Correspondence
OSTI Identifier:
1455178

Jensen, Kristan, and Karch, Andreas. Revisiting non-relativistic limits. United States: N. p., Web. doi:10.1007/JHEP04(2015)155.
Jensen, Kristan, & Karch, Andreas. Revisiting non-relativistic limits. United States. doi:10.1007/JHEP04(2015)155.
Jensen, Kristan, and Karch, Andreas. 2015. "Revisiting non-relativistic limits". United States. doi:10.1007/JHEP04(2015)155. https://www.osti.gov/servlets/purl/1455178.
@article{osti_1455178,
title = {Revisiting non-relativistic limits},
author = {Jensen, Kristan and Karch, Andreas},
abstractNote = {Here, 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. 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}
}