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Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point.

Publication ,  Journal Article
Banerjee, D; Chandrasekharan, S; Orlando, D; Reffert, S
Published in: Physical review letters
August 2019

We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations (j_{L},j_{R}). Using effective field theory we derive a formula for the conformal dimensions D(j_{L},j_{R}) of the leading operator in terms of two constants, c_{3/2} and c_{1/2}, when the sum j_{L}+j_{R} is much larger than the difference |j_{L}-j_{R}|. We compute D(j_{L},j_{R}) when j_{L}=j_{R} with Monte Carlo calculations in a discrete formulation of the O(4) lattice field theory, and show excellent agreement with the predicted formula and estimate c_{3/2}=1.068(4) and c_{1/2}=0.083(3).

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

August 2019

Volume

123

Issue

5

Start / End Page

051603

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Banerjee, D., Chandrasekharan, S., Orlando, D., & Reffert, S. (2019). Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point. Physical Review Letters, 123(5), 051603. https://doi.org/10.1103/physrevlett.123.051603
Banerjee, Debasish, Shailesh Chandrasekharan, Domenico Orlando, and Susanne Reffert. “Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point.Physical Review Letters 123, no. 5 (August 2019): 051603. https://doi.org/10.1103/physrevlett.123.051603.
Banerjee D, Chandrasekharan S, Orlando D, Reffert S. Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point. Physical review letters. 2019 Aug;123(5):051603.
Banerjee, Debasish, et al. “Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point.Physical Review Letters, vol. 123, no. 5, Aug. 2019, p. 051603. Epmc, doi:10.1103/physrevlett.123.051603.
Banerjee D, Chandrasekharan S, Orlando D, Reffert S. Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point. Physical review letters. 2019 Aug;123(5):051603.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

August 2019

Volume

123

Issue

5

Start / End Page

051603

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences