Nonrelativistic conformal field theories in the large charge sector

Kravec, S. M.; Pal, Sridip

doi:10.1007/jhep02(2019)008

Nonrelativistic conformal field theories in the large charge sector

Journal Article · Mon Feb 04 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2019)008· OSTI ID:1611230

Kravec, S. M. ^[1]; ^[2]

Univ. of California, San Diego, CA (United States); DOE/OSTI
Univ. of California, San Diego, CA (United States)

We study Schrödinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory (EFT) for a Goldstone boson of the associated U(1) symmetry in a harmonic potential. This EFT can be studied semi-classically in a large charge expansion. We calculate the dimensions of the lowest lying operators, as well as correlation functions of charged operators. We find universal behavior of three point function in large charge sector. We comment on potential applications to fermions at unitarity and critical anyon systems.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1611230

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (44)

On superconformal anyons Doroud, Nima; Tong, David; Turner, Carl Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/jhep01(2016)138	journal	January 2016
A note on inhomogeneous ground states at large global charge Hellerman, Simeon; Kobayashi, Nozomu; Maeda, Shunsuke Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)038	journal	October 2019
OPE convergence in non-relativistic conformal field theories Goldberger, Walter D.; Khandker, Zuhair U.; Prabhu, Siddharth Journal of High Energy Physics, Vol. 2015, Issue 12 https://doi.org/10.1007/jhep12(2015)048	journal	December 2015
General coordinate invariance in quantum many-body systems Brauner, Tomáš; Endlich, Solomon; Monin, Alexander Physical Review D, Vol. 90, Issue 10 https://doi.org/10.1103/physrevd.90.105016	journal	November 2014
Semiclassics, Goldstone bosons and CFT data Monin, Alexander K.; Pirtskhalava, David; Rattazzi, Riccardo ETH Zurich https://doi.org/10.3929/ethz-b-000173576	text	January 2017
More on gapped Goldstones at finite density: More gapped Goldstones Nicolis, Alberto; Penco, Riccardo; Piazza, Federico arXiv https://doi.org/10.48550/arxiv.1306.1240	text	January 2013
(Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects Delacretaz, Luca V.; Endlich, Solomon; Monin, Alexander arXiv https://doi.org/10.48550/arxiv.1405.7384	text	January 2014
Operator Product Expansion and Conservation Laws in Non-Relativistic Conformal Field Theories Golkar, Siavash; Son, Dam T. arXiv https://doi.org/10.48550/arxiv.1408.3629	text	January 2014
On superconformal anyons Doroud, Nima; Tong, David; Turner, Carl Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)138	journal	January 2016
Symmetry realization via a dynamical inverse Higgs mechanism Rothstein, Ira Z.; Shrivastava, Prashant Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)014	journal	May 2018
Semiclassics, Goldstone bosons and CFT data Monin, A.; Pirtskhalava, D.; Rattazzi, R. Journal of High Energy Physics, Vol. 2017, Issue 6 https://doi.org/10.1007/JHEP06(2017)011	journal	June 2017
The large charge expansion at large N de la Fuente, Anton Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)041	journal	August 2018
More on gapped Goldstones at finite density: more gapped Goldstones Nicolis, Alberto; Penco, Riccardo; Piazza, Federico Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)055	journal	November 2013
(Re-)inventing the relativistic wheel: gravity, cosets, and spinning objects Delacrétaz, Luca V.; Endlich, Solomon; Monin, Alexander Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)008	journal	November 2014
Operator product expansion and conservation laws in non-relativistic conformal field theories Golkar, Siavash; Son, Dam T. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)063	journal	December 2014
The large-charge expansion for Schrödinger systems Favrod, Samuel; Orlando, Domenico; Reffert, Susanne Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/JHEP12(2018)052	journal	December 2018
Conformal invariance for non-relativistic field theory Mehen, Thomas; Stewart, Iain W.; Wise, Mark B. Physics Letters B, Vol. 474, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)00006-X	journal	February 2000
A new expansion for nucleon-nucleon interactions Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Physics Letters B, Vol. 424, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00210-X	journal	April 1998
High precision Feshbach spectroscopy of ultracold cesium collisions Chin, C.; Vuletić, V.; Kerman, A. J. Nuclear Physics A, Vol. 684, Issue 1-4 https://doi.org/10.1016/S0375-9474(01)00461-4	journal	March 2001
Two-nucleon systems from effective field theory Kaplan, David B.; Savage, Martin J.; Wise, Mark B. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00440-4	journal	November 1998
General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas Son, D. T.; Wingate, M. Annals of Physics, Vol. 321, Issue 1 https://doi.org/10.1016/j.aop.2005.11.001	journal	January 2006
An AdS/EFT correspondence at large charge Loukas, Orestis; Orlando, Domenico; Reffert, Susanne Nuclear Physics B, Vol. 934 https://doi.org/10.1016/j.nuclphysb.2018.07.020	journal	September 2018
Bounding scalar operator dimensions in 4 D CFT Rattazzi, Riccardo; Rychkov, Vyacheslav S.; Tonni, Erik Journal of High Energy Physics, Vol. 2008, Issue 12 https://doi.org/10.1088/1126-6708/2008/12/031	journal	December 2008
Structure of Phenomenological Lagrangians. I Coleman, S.; Wess, J.; Zumino, Bruno Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2239	journal	January 1969
Structure of Phenomenological Lagrangians. II Callan, Curtis G.; Coleman, Sidney; Wess, J. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2247	journal	January 1969
Effective theory of chiral two-dimensional superfluids Hoyos, Carlos; Moroz, Sergej; Son, Dam Thanh Physical Review B, Vol. 89, Issue 17 https://doi.org/10.1103/PhysRevB.89.174507	journal	May 2014
Gravity Duals for Nonrelativistic Conformal Field Theories Balasubramanian, Koushik; McGreevy, John Physical Review Letters, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevLett.101.061601	journal	August 2008
Conformal Dimensions via Large Charge Expansion Banerjee, Debasish; Chandrasekharan, Shailesh; Orlando, Domenico Physical Review Letters, Vol. 120, Issue 6 https://doi.org/10.1103/PhysRevLett.120.061603	journal	February 2018
Resonant Magnetic Field Control of Elastic Scattering in Cold R 85 b Roberts, J. L.; Claussen, N. R.; Burke, James P. Physical Review Letters, Vol. 81, Issue 23 https://doi.org/10.1103/PhysRevLett.81.5109	journal	December 1998
Spontaneously Broken Spacetime Symmetries and Goldstone’s Theorem Low, Ian; Manohar, Aneesh V. Physical Review Letters, Vol. 88, Issue 10 https://doi.org/10.1103/PhysRevLett.88.101602	journal	February 2002
Resonant Control of Elastic Collisions in an Optically Trapped Fermi Gas of Atoms Loftus, T.; Regal, C. A.; Ticknor, C. Physical Review Letters, Vol. 88, Issue 17 https://doi.org/10.1103/PhysRevLett.88.173201	journal	April 2002
Observation of Resonance Condensation of Fermionic Atom Pairs Regal, C. A.; Greiner, M.; Jin, D. S. Physical Review Letters, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevLett.92.040403	journal	January 2004
Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance Zwierlein, M. W.; Stan, C. A.; Schunck, C. H. Physical Review Letters, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevLett.92.120403	journal	March 2004
Self-Dual Chern-Simons Solitons Jackiw, R.; Pi, So-Yong Progress of Theoretical Physics Supplement, Vol. 107 https://doi.org/10.1143/PTPS.107.1	journal	January 1992
The Conformal Spectrum of Non-Abelian Anyons Doroud, Nima; Tong, David; Turner, Carl SciPost Foundation https://doi.org/10.17863/cam.26757	journalarticle	January 2018
The Conformal Spectrum of Non-Abelian Anyons Doroud, Nima; Tong, David; Turner, Carl SciPost Physics, Vol. 4, Issue 4 https://doi.org/10.21468/SciPostPhys.4.4.022	journal	January 2018
Effective field theory of a vortex lattice in a bosonic superfluid Moroz, Sergej; Hoyos, Carlos; Benzoni, Claudio SciPost Physics, Vol. 5, Issue 4 https://doi.org/10.21468/SciPostPhys.5.4.039	journal	January 2018
The large charge expansion at large N de la Fuente, Anton arXiv https://doi.org/10.48550/arxiv.1805.00501	text	January 2018
Resonant control of elastic collisions in an optically trapped Fermi gas of atoms Loftus, T.; Regal, C. A.; Ticknor, C. arXiv https://doi.org/10.48550/arxiv.cond-mat/0111571	text	January 2001
Observation of resonance condensation of fermionic atom pairs Regal, C. A.; Greiner, M.; Jin, D. S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0401554	text	January 2004
Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem Low, Ian; Manohar, Aneesh V. arXiv https://doi.org/10.48550/arxiv.hep-th/0110285	text	January 2001
An AdS/EFT correspondence at large charge Loukas, Orestis; Orlando, Domenico; Reffert, Susanne Elsevier https://doi.org/10.7892/boris.120271	text	January 2018
The large-charge expansion for Schrödinger systems Favrod, Samuel Clément; Orlando, Domenico; Reffert, Susanne Springer https://doi.org/10.7892/boris.123750	text	January 2018
Conformal Dimensions via Large Charge Expansion Banerjee, Debasish; Chandrasekharan, Shailesh; Orlando, Domenico American Physical Society https://doi.org/10.7892/boris.125067	text	January 2018

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The spinful large charge sector of non-relativistic CFTs: from phonons to vortex crystals Kravec, S. M.; Pal, Sridip Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/jhep05(2019)194	journal	May 2019
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The large charge limit of scalar field theories, and the Wilson-Fisher fixed point at 𝜖 = 0 Arias-Tamargo, G.; Rodriguez-Gomez, D.; Russo, J. G. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)201	journal	October 2019
The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals Kravec, S. M.; Pal, Sridip arXiv https://doi.org/10.48550/arxiv.1904.05462	text	January 2019
A safe CFT at large charge Orlando, Domenico; Reffert, Susanne; Sannino, Francesco Springer https://doi.org/10.7892/boris.134346	text	January 2019

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