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A Note on Inhomogeneous Ground States at Large Global Charge

Hellerman, Simeon and Kobayashi, Nozomu and Maeda, Shunsuke and Watanabe, Masataka (2017) A Note on Inhomogeneous Ground States at Large Global Charge. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170518-101049381

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Abstract

In this note we search for the ground state, in infinite volume, of the D = 3 WilsonFisher conformal O(4) model, at nonzero values of the two independent charge densities ρ1,2 . Using an effective theory valid on scales longer than the scale defined by the charge density, we show that the ground-state configuration is inhomogeneous for generic ratios ρ1 /ρ2 . This result confirms, within the context of a well-defined effective theory, a recent no-go result of [2] . We also show that any spatially periodic ground state solutions have an energetic preference towards longer periods, within some range of ρ1/ρ2 containing a neighborhood of zero. This suggests that the scale of variation of the ground state solution in finite volume will be the infrared scale, and that the use of the effective theory at large charge in finite volume is self-consistent.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1705.05825arXivDiscussion Paper
Additional Information:The authors are grateful to Domenico Orlando and Susanne Reffert for valuable discussions. SM and MW acknowledge the support by JSPS Research Fellowship for Young Scientists. The work of SH is supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan; by the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers; and also supported in part by JSPS KAKENHI Grant Numbers JP22740153, JP26400242. SH is also grateful to the Physics Department at Harvard University, the Walter Burke Institute for Theoretical Physics at Caltech, and the Galileo Galilei Institute for generous hospitality while this work was in progress.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)JP22740153,
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)JP26400242.
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2017-024
Record Number:CaltechAUTHORS:20170518-101049381
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170518-101049381
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77562
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:18 May 2017 17:26
Last Modified:18 May 2017 17:26

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