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Title: Conformal Dimensions via Large Charge Expansion

Abstract

We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-Q fields at the Wilson-Fisher fixed point in the O(2) universality class. Using it, we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global U(1) charge can be obtained via a series expansion in the inverse charge 1/Q . We find that the conformal dimensions of the lowest operator with a fixed charge Q are almost entirely determined by the first few terms in the series

Authors:
; ;
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1420013
Alternate Identifier(s):
OSTI ID: 1502073
Grant/Contract Number:  
FG02-05ER41368
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Banerjee, Debasish, Chandrasekharan, Shailesh, and Orlando, Domenico. Conformal Dimensions via Large Charge Expansion. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.061603.
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Banerjee, Debasish, Chandrasekharan, Shailesh, & Orlando, Domenico. Conformal Dimensions via Large Charge Expansion. United States. https://doi.org/10.1103/PhysRevLett.120.061603
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Banerjee, Debasish, Chandrasekharan, Shailesh, and Orlando, Domenico. Fri . "Conformal Dimensions via Large Charge Expansion". United States. https://doi.org/10.1103/PhysRevLett.120.061603.
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@article{osti_1420013,
title = {Conformal Dimensions via Large Charge Expansion},
author = {Banerjee, Debasish and Chandrasekharan, Shailesh and Orlando, Domenico},
abstractNote = {We construct an efficient Monte Carlo algorithm that overcomes the severe signal-to-noise ratio problems and helps us to accurately compute the conformal dimensions of large-Q fields at the Wilson-Fisher fixed point in the O(2) universality class. Using it, we verify a recent proposal that conformal dimensions of strongly coupled conformal field theories with a global U(1) charge can be obtained via a series expansion in the inverse charge 1/Q . We find that the conformal dimensions of the lowest operator with a fixed charge Q are almost entirely determined by the first few terms in the series},
doi = {10.1103/PhysRevLett.120.061603},
journal = {Physical Review Letters},
number = 6,
volume = 120,
place = {United States},
year = {Fri Feb 09 00:00:00 EST 2018},
month = {Fri Feb 09 00:00:00 EST 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.120.061603
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Cited by: 58 works
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Figures / Tables:

FIG. 1. FIG. 1. : Plot of the values of D(Q) extracted from our Monte Carlo calculations at the O(2) WF fixed point, along with the plot of Eq. (1) (solid line) with our estimated values c3/2 = 1.195 and c1/2 = 0.075 and previously computed value c0 = −0.094. It ismore » surprising that these three leading coefficients in Eq. (1) can predict the conformal dimensions for all Q ≥ 1 very well.« less
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