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Remarks on nonrelativistic Goldstone bosons

Kapustin, Anton (2012) Remarks on nonrelativistic Goldstone bosons. . (Submitted)

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We discuss excitations in nonrelativistic field theories with spontaneous breaking of a continuous global symmetry. It is known that in such systems there are two types of Goldstone bosons (Type A and Type B) whose dispersion law is generically linear or quadratic, respectively. We show that Type B Goldstone bosons may have gapped partners which we call almost-Goldstone bosons. With some nondegeneracy assumption about the low-energy effective action, the total number of Goldstone and almost-Goldstone bosons adds up to the number of broken symmetry generators. We propose that deviations of the dispersion law of Goldstone bosons from linearity at small momenta may serve as a signature of small breaking of time-reversal symmetry.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription
Kapustin, Anton0000-0003-3903-5158
Additional Information:I would like to thank Ira Rothstein for discussions and Hiroshi Ooguri for drawing my attention to Ref. [7]. This work was supported in part by the DOE grant DE-FG02-92ER40701.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Record Number:CaltechAUTHORS:20120716-084258892
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32454
Deposited By: Tony Diaz
Deposited On:19 Jul 2012 22:50
Last Modified:02 Jun 2023 00:14

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