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

Abstract

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 (jL, jR). Using effective field theory we derive a formula for the conformal dimensions D(jL, jR) of the leading operator in terms of two constants, c3/2 and c1/2, when the sum jL + jR is much larger than the difference |jL – jR|. We compute D(jL, jR) when jL = jR 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 c3/2 = 1.068(4) and c1/2 = 0.083(3).

Authors:
ORCiD logo [1];  [2];  [3];  [4]
  1. Humboldt-Univ. zu Berlin (Germany)
  2. Duke Univ., Durham, NC (United States)
  3. INFN, Torino (Italy); Univ. of Bern (Switzerland)
  4. Univ. of Bern (Switzerland)
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Swiss National Science Foundation (SNF)
OSTI Identifier:
1609641
Grant/Contract Number:  
FG02-05ER41368; PP00P2_157571/1
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 5; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; physics; effective field theory; quantum field theory; sigma models; lattice field theory; Monte Carlo methods

Citation Formats

Banerjee, Debasish, Chandrasekharan, Shailesh, Orlando, Domenico, and Reffert, Susanne. Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point. United States: N. p., 2019. Web. https://doi.org/10.1103/physrevlett.123.051603.
Banerjee, Debasish, Chandrasekharan, Shailesh, Orlando, Domenico, & Reffert, Susanne. Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point. United States. https://doi.org/10.1103/physrevlett.123.051603
Banerjee, Debasish, Chandrasekharan, Shailesh, Orlando, Domenico, and Reffert, Susanne. Thu . "Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point". United States. https://doi.org/10.1103/physrevlett.123.051603. https://www.osti.gov/servlets/purl/1609641.
@article{osti_1609641,
title = {Conformal Dimensions in the Large Charge Sectors at the O(4) Wilson-Fisher Fixed Point},
author = {Banerjee, Debasish and Chandrasekharan, Shailesh and Orlando, Domenico and Reffert, Susanne},
abstractNote = {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 (jL, jR). Using effective field theory we derive a formula for the conformal dimensions D(jL, jR) of the leading operator in terms of two constants, c3/2 and c1/2, when the sum jL + jR is much larger than the difference |jL – jR|. We compute D(jL, jR) when jL = jR 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 c3/2 = 1.068(4) and c1/2 = 0.083(3).},
doi = {10.1103/physrevlett.123.051603},
journal = {Physical Review Letters},
number = 5,
volume = 123,
place = {United States},
year = {2019},
month = {8}
}

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    Works referencing / citing this record:

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    • Journal of High Energy Physics, Vol. 2019, Issue 8
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