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

Banerjee, Debasish; Chandrasekharan, Shailesh; Orlando, Domenico; Reffert, Susanne

doi:10.1103/physrevlett.123.051603

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 (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).

Authors:

^[1]; Chandrasekharan, Shailesh ^[2]; Orlando, Domenico ^[3]; Reffert, Susanne ^[4]

Humboldt-Univ. zu Berlin (Germany)
Duke Univ., Durham, NC (United States)
INFN, Torino (Italy); Univ. of Bern (Switzerland)
Univ. of Bern (Switzerland)

Publication Date:: 2019-08-01

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.  doi:10.1103/physrevlett.123.051603.

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                    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

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                    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.

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@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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A safe CFT at large charge
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Title: Conformal Dimensions in the Large Charge Sectors at the O ( 4 ) Wilson-Fisher Fixed Point

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Semiclassics, Goldstone bosons and CFT data journal, June 2017

Compensating strong coupling with large charge journal, April 2017

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Conformal Dimensions via Large Charge Expansion text, January 2018

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Critical phenomena and renormalization-group theory journal, October 2002

Anomaly and a QCD-like phase diagram with massive bosonic baryons journal, December 2010

SO 4 SYMMETRY IN A HUBBARD MODEL journal, June 1990

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Remarks on the chiral phase transition in chromodynamics journal, January 1984

Critical exponents and equation of state of the three-dimensional Heisenberg universality class text, January 2002

Critical behavior of the three-dimensional XY universality class journal, May 2001

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Critical Exponents in 3.99 Dimensions journal, January 1972

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Kramers–Wannier duality and worldline representation for the SU(2) principal chiral model journal, March 2018

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The large charge expansion at large N text, January 2018

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

Modeling pion physics in the $ϵ$ -regime of two-flavor QCD using strong coupling lattice QED
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Eliminating leading corrections to scaling in the three-dimensional O ( N )-symmetric ϕ ⁴ model: N = 3 and 4
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Compensating strong coupling with large charge
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Critical phenomena and renormalization-group theory
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Anomaly and a QCD-like phase diagram with massive bosonic baryons
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SO ₄ SYMMETRY IN A HUBBARD MODEL
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Bounding scalar operator dimensions in 4 D CFT
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Compensating strong coupling with large charge
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Critical Exponents in 3.99 Dimensions
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On the CFT operator spectrum at large global charge
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Erratum: Application of the Renormalization Group to a Second-Order qcd Phase Transition
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Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem
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Ten Physical Applications of Spectral Zeta Functions
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Anomaly and a QCD-like phase diagram with massive bosonic baryons
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Kramers-Wannier duality and worldline representation for the SU(2) principal chiral model
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The large charge expansion at large N
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Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
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A safe CFT at large charge
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The large charge limit of scalar field theories, and the Wilson-Fisher fixed point at 𝜖 = 0
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