Conformal Dimensions in the Large Charge Sectors at the $O\left(4\right)$ WilsonFisher Fixed Point
Abstract
We study the O(4) WilsonFisher fixed point in 2+1 dimensions in fixed largecharge sectors identified by products of two spinj 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:

 HumboldtUniv. zu Berlin (Germany)
 Duke Univ., Durham, NC (United States)
 INFN, Torino (Italy); Univ. of Bern (Switzerland)
 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:
 FG0205ER41368; PP00P2_157571/1
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 123; Journal Issue: 5; Journal ID: ISSN 00319007
 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) WilsonFisher 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) WilsonFisher 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) WilsonFisher 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) WilsonFisher Fixed Point},
author = {Banerjee, Debasish and Chandrasekharan, Shailesh and Orlando, Domenico and Reffert, Susanne},
abstractNote = {We study the O(4) WilsonFisher fixed point in 2+1 dimensions in fixed largecharge sectors identified by products of two spinj 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 referenced in this record:
Modeling pion physics in the $\u03f5$ regime of twoflavor QCD using strong coupling lattice QED
journal, January 2008
 Cecile, D. J.; Chandrasekharan, Shailesh
 Physical Review D, Vol. 77, Issue 1
Application of the Renormalization Group to a SecondOrder qcd Phase Transition
journal, June 1992
 Wilczek, Frank
 International Journal of Modern Physics A, Vol. 07, Issue 16
The large charge expansion at large N
journal, August 2018
 de la Fuente, Anton
 Journal of High Energy Physics, Vol. 2018, Issue 8
On how to count Goldstone bosons
journal, March 1976
 Nielsen, H. B.; Chadha, S.
 Nuclear Physics B, Vol. 105, Issue 3
Conformal Dimensions via Large Charge Expansion
journal, February 2018
 Banerjee, Debasish; Chandrasekharan, Shailesh; Orlando, Domenico
 Physical Review Letters, Vol. 120, Issue 6
Eliminating leading corrections to scaling in the threedimensional O ( N )symmetric ϕ ^{4} model: N = 3 and 4
journal, October 2001
 Hasenbusch, Martin
 Journal of Physics A: Mathematical and General, Vol. 34, Issue 40
Semiclassics, Goldstone bosons and CFT data
journal, June 2017
 Monin, A.; Pirtskhalava, D.; Rattazzi, R.
 Journal of High Energy Physics, Vol. 2017, Issue 6
Compensating strong coupling with large charge
journal, April 2017
 AlvarezGaume, Luis; Loukas, Orestis; Orlando, Domenico
 Journal of High Energy Physics, Vol. 2017, Issue 4
An AdS/EFT correspondence at large charge
journal, September 2018
 Loukas, Orestis; Orlando, Domenico; Reffert, Susanne
 Nuclear Physics B, Vol. 934
Critical phenomena and renormalizationgroup theory
journal, October 2002
 Pelissetto, Andrea; Vicari, Ettore
 Physics Reports, Vol. 368, Issue 6
Anomaly and a QCDlike phase diagram with massive bosonic baryons
journal, December 2010
 Chandrasekharan, Shailesh; Li, Anyi
 Journal of High Energy Physics, Vol. 2010, Issue 12
SO _{4} SYMMETRY IN A HUBBARD MODEL
journal, June 1990
 Yang, Chen Ning; Zhang, S. C.
 Modern Physics Letters B, Vol. 04, Issue 11
Bounding scalar operator dimensions in 4 D CFT
journal, December 2008
 Rattazzi, Riccardo; Rychkov, Vyacheslav S.; Tonni, Erik
 Journal of High Energy Physics, Vol. 2008, Issue 12
Anisotropic perturbations in threedimensional O( $N$ )symmetric vector models
journal, September 2011
 Hasenbusch, Martin; Vicari, Ettore
 Physical Review B, Vol. 84, Issue 12
Remarks on the chiral phase transition in chromodynamics
journal, January 1984
 Pisarski, Robert D.; Wilczek, Frank
 Physical Review D, Vol. 29, Issue 2
Critical behavior of the threedimensional $\mathrm{XY}$ universality class
journal, May 2001
 Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea
 Physical Review B, Vol. 63, Issue 21
Critical Exponents in 3.99 Dimensions
journal, January 1972
 Wilson, Kenneth G.; Fisher, Michael E.
 Physical Review Letters, Vol. 28, Issue 4
On the CFT operator spectrum at large global charge
journal, December 2015
 Hellerman, Simeon; Orlando, Domenico; Reffert, Susanne
 Journal of High Energy Physics, Vol. 2015, Issue 12
Erratum: Application of the Renormalization Group to a SecondOrder qcd Phase Transition
journal, October 1992
 Wilczek, Frank
 International Journal of Modern Physics A, Vol. 07, Issue 27
Matrix models at large charge
journal, October 2017
 Loukas, Orestis; Orlando, Domenico; Reffert, Susanne
 Journal of High Energy Physics, Vol. 2017, Issue 10
The largecharge expansion for Schrödinger systems
journal, December 2018
 Favrod, Samuel; Orlando, Domenico; Reffert, Susanne
 Journal of High Energy Physics, Vol. 2018, Issue 12
Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem
journal, February 2002
 Low, Ian; Manohar, Aneesh V.
 Physical Review Letters, Vol. 88, Issue 10
Kramers–Wannier duality and worldline representation for the SU(2) principal chiral model
journal, March 2018
 Gattringer, Christof; Göschl, Daniel; Marchis, Carlotta
 Physics Letters B, Vol. 778
Critical exponents and equation of state of the threedimensional Heisenberg universality class
journal, April 2002
 Campostrini, Massimo; Hasenbusch, Martin; Pelissetto, Andrea
 Physical Review B, Vol. 65, Issue 14
Works referencing / citing this record:
A safe CFT at large charge
journal, August 2019
 Orlando, Domenico; Reffert, Susanne; Sannino, Francesco
 Journal of High Energy Physics, Vol. 2019, Issue 8
The large charge limit of scalar field theories, and the WilsonFisher fixed point at 𝜖 = 0
journal, October 2019
 AriasTamargo, G.; RodriguezGomez, D.; Russo, J. G.
 Journal of High Energy Physics, Vol. 2019, Issue 10
Qubit regularization of the $O(3)$ sigma model
journal, September 2019
 Singh, Hersh; Chandrasekharan, Shailesh
 Physical Review D, Vol. 100, Issue 5