Bootstrapping mixed correlators in three-dimensional cubic theories

Kousvos, Stefanos R.; Stergiou, Andreas

doi:10.21468/SciPostPhys.6.3.035

Title: Bootstrapping mixed correlators in three-dimensional cubic theories

Abstract

Three-dimensional theories with cubic symmetry are reported on using themachinery of the numerical conformal bootstrap. Crossing symmetry andunitarity are imposed on a set of mixed correlators, and various aspectsof the parameter space are probed for consistency. An isolated allowedregion in parameter space is found under certain assumptions involvingpushing operator dimensions above marginality, indicating the existenceof a conformal field theory in this region. The obtained results havepossible applications for ferromagnetic phase transitions as well asstructural phase transitions in crystals. They are in tension with previous ε expansion results, as noticed already in earlier work.

Authors:

Kousvos, Stefanos R. ^[1];

^[2]

Univ. of Crete, Heraklion (Greece)
European Organization for Nuclear Research (CERN), Geneva (Switzerland); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2019-03-21

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1542858

Report Number(s):: LA-UR-19-25906
Journal ID: ISSN 2542-4653

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: SciPost Physics

Additional Journal Information:: Journal Volume: 6; Journal Issue: 3; Journal ID: ISSN 2542-4653

Publisher:: SciPost Foundation

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Kousvos, Stefanos R., and Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories.  United States: N. p., 2019. 
Web.  doi:10.21468/SciPostPhys.6.3.035.

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                    Kousvos, Stefanos R., & Stergiou, Andreas. Bootstrapping mixed correlators in three-dimensional cubic theories.  United States.  https://doi.org/10.21468/SciPostPhys.6.3.035

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                    Kousvos, Stefanos R., and Stergiou, Andreas. Thu .  
"Bootstrapping mixed correlators in three-dimensional cubic theories".  United States.  https://doi.org/10.21468/SciPostPhys.6.3.035.  https://www.osti.gov/servlets/purl/1542858.

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@article{osti_1542858,

  title        = {Bootstrapping mixed correlators in three-dimensional cubic theories},

  author       = {Kousvos, Stefanos R. and Stergiou, Andreas},

  abstractNote = {Three-dimensional theories with cubic symmetry are reported on using themachinery of the numerical conformal bootstrap. Crossing symmetry andunitarity are imposed on a set of mixed correlators, and various aspectsof the parameter space are probed for consistency. An isolated allowedregion in parameter space is found under certain assumptions involvingpushing operator dimensions above marginality, indicating the existenceof a conformal field theory in this region. The obtained results havepossible applications for ferromagnetic phase transitions as well asstructural phase transitions in crystals. They are in tension with previous ε expansion results, as noticed already in earlier work.},

  doi          = {10.21468/SciPostPhys.6.3.035},

  journal      = {SciPost Physics},

  number       = 3,

  volume       = 6,

  place        = {United States},

  year         = {2019},

  month        = {3}

}

Copy to clipboard

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https://doi.org/10.21468/SciPostPhys.6.3.035

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Cited by: 10 works

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Figures / Tables:

Figure 1: Upper bound on the dimension of the first X operator in the $\phi_i$ x $\phi_j$ OPE. The red area is excluded.

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Works referenced in this record:

Critical phenomena and renormalization-group theory
journal, October 2002

Pelissetto, Andrea; Vicari, Ettore
Physics Reports, Vol. 368, Issue 6
DOI: 10.1016/S0370-1573(02)00219-3

The stability of the O invariant fixed point in three dimensions
journal, May 1998

Caselle, M.; Hasenbusch, M.
Journal of Physics A: Mathematical and General, Vol. 31, Issue 20
DOI: 10.1088/0305-4470/31/20/004

The conformal bootstrap: Theory, numerical techniques, and applications
journal, January 2019

Poland, David; Rychkov, Slava; Vichi, Alessandro
Reviews of Modern Physics, Vol. 91, Issue 1
DOI: 10.1103/RevModPhys.91.015002

Bootstrapping hypercubic and hypertetrahedral theories in three dimensions
journal, May 2018

Stergiou, Andreas
Journal of High Energy Physics, Vol. 2018, Issue 5
DOI: 10.1007/JHEP05(2018)035

Solving the 3D Ising model with the conformal bootstrap
journal, July 2012

El-Showk, Sheer; Paulos, Miguel F.; Poland, David
Physical Review D, Vol. 86, Issue 2
DOI: 10.1103/PhysRevD.86.025022

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents
journal, June 2014

El-Showk, Sheer; Paulos, Miguel F.; Poland, David
Journal of Statistical Physics, Vol. 157, Issue 4-5
DOI: 10.1007/s10955-014-1042-7

Bootstrapping the O(N ) vector models
journal, June 2014

Kos, Filip; Poland, David; Simmons-Duffin, David
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)091

Mellin space bootstrap for global symmetry
journal, July 2017

Dey, Parijat; Kaviraj, Apratim; Sinha, Aninda
Journal of High Energy Physics, Vol. 2017, Issue 7
DOI: 10.1007/JHEP07(2017)019

Structural phase transitions I. Landau theory
journal, February 1980

Cowley, R. A.
Advances in Physics, Vol. 29, Issue 1
DOI: 10.1080/00018738000101346

Structural phase transitions. II. Static critical behaviour
journal, February 1980

Bruce, Alastair D.
Advances in Physics, Vol. 29, Issue 1
DOI: 10.1080/00018738000101356

Static Critical Exponents at Structural Phase Transitions
journal, January 1971

Müller, K. A.; Berlinger, W.
Physical Review Letters, Vol. 26, Issue 1
DOI: 10.1103/PhysRevLett.26.13

Critical behaviour of SrTiO3 near the 105°K phase transition
journal, September 1971

Riste, T.; Samuelsen, E. J.; Otnes, K.
Solid State Communications, Vol. 9, Issue 17
DOI: 10.1016/0038-1098(71)90155-4

Fluctuations and Correlations in SrTi $O_{3}$ for $T >~ T_{c}$
journal, February 1972

von Waldkirch, Th.; Müller, K. A.; Berlinger, W.
Physical Review Letters, Vol. 28, Issue 8
DOI: 10.1103/PhysRevLett.28.503

Fluctuations in SrTi $O_{3}$ near the 105-K Phase Transition
journal, February 1973

von Waldkirch, Th.; Müller, K. A.; Berlinger, W.
Physical Review B, Vol. 7, Issue 3
DOI: 10.1103/PhysRevB.7.1052

Structural Phase Transitions
journal, November 2006

A. Cowley, R.; M. Shapiro, S.
Journal of the Physical Society of Japan, Vol. 75, Issue 11
DOI: 10.1143/JPSJ.75.111001

Bootstrapping mixed correlators in the 3D Ising model
journal, November 2014

Kos, Filip; Poland, David; Simmons-Duffin, David
Journal of High Energy Physics, Vol. 2014, Issue 11
DOI: 10.1007/JHEP11(2014)109

Bootstrapping the O(N) archipelago
journal, November 2015

Kos, Filip; Poland, David; Simmons-Duffin, David
Journal of High Energy Physics, Vol. 2015, Issue 11
DOI: 10.1007/JHEP11(2015)106

PyCFTBoot: A Flexible Interface for the Conformal Bootstrap
journal, May 2017

Behan, Connor
Communications in Computational Physics, Vol. 22, Issue 1
DOI: 10.4208/cicp.OA-2016-0107

A semidefinite program solver for the conformal bootstrap
journal, June 2015

Simmons-Duffin, David
Journal of High Energy Physics, Vol. 2015, Issue 6
DOI: 10.1007/JHEP06(2015)174

Nuclear Resonance in EuS from 4.2°K to the Critical Temperature Region
journal, January 1965

Heller, P.; Benedek, G.
Physical Review Letters, Vol. 14, Issue 3
DOI: 10.1103/PhysRevLett.14.71

Scalar CFTs and their large N limits
journal, September 2018

Rong, Junchen; Su, Ning
Journal of High Energy Physics, Vol. 2018, Issue 9
DOI: 10.1007/JHEP09(2018)103

Critical Behavior of Anisotropic Cubic Systems
journal, November 1973

Aharony, Amnon
Physical Review B, Vol. 8, Issue 9
DOI: 10.1103/PhysRevB.8.4270

Seeking fixed points in multiple coupling scalar theories in the ε expansion
journal, May 2018

Osborn, Hugh; Stergiou, Andreas
Journal of High Energy Physics, Vol. 2018, Issue 5
DOI: 10.1007/JHEP05(2018)051

Bounds on 4D conformal and superconformal field theories
journal, May 2011

Poland, David; Simmons-Duffin, David
Journal of High Energy Physics, Vol. 2011, Issue 5
DOI: 10.1007/JHEP05(2011)017

Bootstrapping Conformal Field Theories with the Extremal Functional Method
journal, December 2013

El-Showk, Sheer; Paulos, Miguel F.
Physical Review Letters, Vol. 111, Issue 24
DOI: 10.1103/PhysRevLett.111.241601

Exact five-loop renormalization group functions of θ4-theory with O(N)-symmetric and cubic interactions. Critical exponents up to ϵ5
journal, January 1995

Kleinert, H.; Schulte-Frohlinde, V.
Physics Letters B, Vol. 342, Issue 1-4
DOI: 10.1016/0370-2693(94)01377-O

$N$ -component Ginzburg-Landau Hamiltonian with cubic anisotropy: A six-loop study
journal, June 2000

Manuel Carmona, José; Pelissetto, Andrea; Vicari, Ettore
Physical Review B, Vol. 61, Issue 22
DOI: 10.1103/PhysRevB.61.15136

Critical behavior of frustrated spin models with noncollinear order
journal, March 2001

Pelissetto, Andrea; Rossi, Paolo; Vicari, Ettore
Physical Review B, Vol. 63, Issue 14
DOI: 10.1103/PhysRevB.63.140414

Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering
journal, November 2002

Calabrese, P.; Parruccini, P.; Sokolov, A. I.
Physical Review B, Vol. 66, Issue 18
DOI: 10.1103/PhysRevB.66.180403

Critical behavior of $O (2) \otimes O (N)$ symmetric models
journal, November 2004

Calabrese, Pasquale; Parruccini, Pietro; Pelissetto, Andrea
Physical Review B, Vol. 70, Issue 17
DOI: 10.1103/PhysRevB.70.174439

Bootstrapping phase transitions in QCD and frustrated spin systems
journal, January 2015

Nakayama, Yu; Ohtsuki, Tomoki
Physical Review D, Vol. 91, Issue 2
DOI: 10.1103/PhysRevD.91.021901

Fixed points in frustrated magnets revisited
journal, March 2008

Delamotte, B.; Holovatch, Yu; Ivaneyko, D.
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, Issue 03
DOI: 10.1088/1742-5468/2008/03/P03014

Relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions
journal, September 2010

Delamotte, B.; Dudka, M.; Holovatch, Yu.
Physical Review B, Vol. 82, Issue 10
DOI: 10.1103/PhysRevB.82.104432

Analysis of the 3d massive renormalization group perturbative expansions: a delicate case
journal, January 2010

Delamotte,
Condensed Matter Physics, Vol. 13, Issue 4
DOI: 10.5488/CMP.13.43703

Precision islands in the Ising and O(N ) models
journal, August 2016

Kos, Filip; Poland, David; Simmons-Duffin, David
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)036

Bootstrapping the minimal 3D SCFT
journal, November 2018

Atanasov, Alexander; Hillman, Aaron; Poland, David
Journal of High Energy Physics, Vol. 2018, Issue 11
DOI: 10.1007/JHEP11(2018)140

Critical behaviour of SrTiO3 near the 105°K phase transition
journal, December 1993

Riste, T.; Samuelsen, E. J.; Otnes, K.
Solid State Communications, Vol. 88, Issue 11-12
DOI: 10.1016/0038-1098(93)90266-p

Structural Phase Transitions
journal, December 1981

Bruce, A. D.; Cowley, R. A.; Burns, Gerald
Physics Today, Vol. 34, Issue 12
DOI: 10.1063/1.2914390

Works referencing / citing this record:

Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
journal, November 2019

Baume, Florent; Fuchs, Michael; Lawrie, Craig
Journal of High Energy Physics, Vol. 2019, Issue 11
DOI: 10.1007/jhep11(2019)164

Possibility of a continuous phase transition in random-anisotropy magnets with a generic random-axis distribution
journal, February 2020

Shapoval, D.; Dudka, M.; Fedorenko, A. A.
Physical Review B, Vol. 101, Issue 6
DOI: 10.1103/physrevb.101.064402

Spectrum of anomalous dimensions in hypercubic theories
journal, September 2019

Antipin, Oleg; Bersini, Jahmall
Physical Review D, Vol. 100, Issue 6
DOI: 10.1103/physrevd.100.065008

Bootstrapping MN and tetragonal CFTs in three dimensions
journal, January 2019

Stergiou, Andreas
SciPost Physics, Vol. 7, Issue 1
DOI: 10.21468/scipostphys.7.1.010

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Title: Bootstrapping mixed correlators in three-dimensional cubic theories

Abstract

Citation Formats

Figures / Tables:

Critical phenomena and renormalization-group theory journal, October 2002

The stability of the O invariant fixed point in three dimensions journal, May 1998

The conformal bootstrap: Theory, numerical techniques, and applications journal, January 2019

Bootstrapping hypercubic and hypertetrahedral theories in three dimensions journal, May 2018

Solving the 3D Ising model with the conformal bootstrap journal, July 2012

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents journal, June 2014

Bootstrapping the O(N ) vector models journal, June 2014

Mellin space bootstrap for global symmetry journal, July 2017

Structural phase transitions I. Landau theory journal, February 1980

Structural phase transitions. II. Static critical behaviour journal, February 1980

Static Critical Exponents at Structural Phase Transitions journal, January 1971

Critical behaviour of SrTiO3 near the 105°K phase transition journal, September 1971

Fluctuations and Correlations in SrTi O 3 for T >~ T c journal, February 1972

Fluctuations in SrTi O 3 near the 105-K Phase Transition journal, February 1973

Structural Phase Transitions journal, November 2006

Bootstrapping mixed correlators in the 3D Ising model journal, November 2014

Bootstrapping the O(N) archipelago journal, November 2015

PyCFTBoot: A Flexible Interface for the Conformal Bootstrap journal, May 2017

A semidefinite program solver for the conformal bootstrap journal, June 2015

Nuclear Resonance in EuS from 4.2°K to the Critical Temperature Region journal, January 1965

Scalar CFTs and their large N limits journal, September 2018

Critical Behavior of Anisotropic Cubic Systems journal, November 1973

Seeking fixed points in multiple coupling scalar theories in the ε expansion journal, May 2018

Bounds on 4D conformal and superconformal field theories journal, May 2011

Bootstrapping Conformal Field Theories with the Extremal Functional Method journal, December 2013

Exact five-loop renormalization group functions of θ4-theory with O(N)-symmetric and cubic interactions. Critical exponents up to ϵ5 journal, January 1995

N -component Ginzburg-Landau Hamiltonian with cubic anisotropy: A six-loop study journal, June 2000

Critical behavior of frustrated spin models with noncollinear order journal, March 2001

Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering journal, November 2002

Critical behavior of O ( 2 ) ⊗ O ( N ) symmetric models journal, November 2004

Bootstrapping phase transitions in QCD and frustrated spin systems journal, January 2015

Fixed points in frustrated magnets revisited journal, March 2008

Relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions journal, September 2010

Analysis of the 3d massive renormalization group perturbative expansions: a delicate case journal, January 2010

Precision islands in the Ising and O(N ) models journal, August 2016

Bootstrapping the minimal 3D SCFT journal, November 2018

Critical behaviour of SrTiO3 near the 105°K phase transition journal, December 1993

Structural Phase Transitions journal, December 1981

Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry journal, November 2019

Possibility of a continuous phase transition in random-anisotropy magnets with a generic random-axis distribution journal, February 2020

Spectrum of anomalous dimensions in hypercubic theories journal, September 2019

Bootstrapping MN and tetragonal CFTs in three dimensions journal, January 2019

Critical phenomena and renormalization-group theory
journal, October 2002

The stability of the O invariant fixed point in three dimensions
journal, May 1998

The conformal bootstrap: Theory, numerical techniques, and applications
journal, January 2019

Bootstrapping hypercubic and hypertetrahedral theories in three dimensions
journal, May 2018

Solving the 3D Ising model with the conformal bootstrap
journal, July 2012

Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$ c -Minimization and Precise Critical Exponents
journal, June 2014

Bootstrapping the O(N ) vector models
journal, June 2014

Mellin space bootstrap for global symmetry
journal, July 2017

Structural phase transitions I. Landau theory
journal, February 1980

Structural phase transitions. II. Static critical behaviour
journal, February 1980

Static Critical Exponents at Structural Phase Transitions
journal, January 1971

Critical behaviour of SrTiO3 near the 105°K phase transition
journal, September 1971

Fluctuations and Correlations in SrTi $O_{3}$ for $T >~ T_{c}$
journal, February 1972

Fluctuations in SrTi $O_{3}$ near the 105-K Phase Transition
journal, February 1973

Structural Phase Transitions
journal, November 2006

Bootstrapping mixed correlators in the 3D Ising model
journal, November 2014

Bootstrapping the O(N) archipelago
journal, November 2015

PyCFTBoot: A Flexible Interface for the Conformal Bootstrap
journal, May 2017

A semidefinite program solver for the conformal bootstrap
journal, June 2015

Nuclear Resonance in EuS from 4.2°K to the Critical Temperature Region
journal, January 1965

Scalar CFTs and their large N limits
journal, September 2018

Critical Behavior of Anisotropic Cubic Systems
journal, November 1973

Seeking fixed points in multiple coupling scalar theories in the ε expansion
journal, May 2018

Bounds on 4D conformal and superconformal field theories
journal, May 2011

Bootstrapping Conformal Field Theories with the Extremal Functional Method
journal, December 2013

Exact five-loop renormalization group functions of θ4-theory with O(N)-symmetric and cubic interactions. Critical exponents up to ϵ5
journal, January 1995

$N$ -component Ginzburg-Landau Hamiltonian with cubic anisotropy: A six-loop study
journal, June 2000

Critical behavior of frustrated spin models with noncollinear order
journal, March 2001

Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering
journal, November 2002

Critical behavior of $O (2) \otimes O (N)$ symmetric models
journal, November 2004

Bootstrapping phase transitions in QCD and frustrated spin systems
journal, January 2015

Fixed points in frustrated magnets revisited
journal, March 2008

Relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions
journal, September 2010

Analysis of the 3d massive renormalization group perturbative expansions: a delicate case
journal, January 2010

Precision islands in the Ising and O(N ) models
journal, August 2016

Bootstrapping the minimal 3D SCFT
journal, November 2018

Critical behaviour of SrTiO3 near the 105°K phase transition
journal, December 1993

Structural Phase Transitions
journal, December 1981

Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry
journal, November 2019

Possibility of a continuous phase transition in random-anisotropy magnets with a generic random-axis distribution
journal, February 2020

Spectrum of anomalous dimensions in hypercubic theories
journal, September 2019

Bootstrapping MN and tetragonal CFTs in three dimensions
journal, January 2019