Vector models and generalized SYK models

Peng, Cheng

doi:10.1007/JHEP05(2017)129

Title: Vector models and generalized SYK models

Abstract

Here, we consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating out the tensor field, the toy model reduces to the Gross-Neveu model in 1 dimension. On the other hand, a certain perturbation can be turned on and the toy model flows to an SYK-like model at low energy. Furthermore, a chaotic-nonchaotic phase transition occurs as the sign of the perturbation is altered. We further study similar models that possess chaos and enhanced reparameterization symmetries.

Authors:

Peng, Cheng ^[1]

Brown Univ., Providence, RI (United States). Dept. of Physics

Publication Date:: Tue May 23 00:00:00 EDT 2017

Research Org.:: Brown Univ., Providence, RI (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1389554

Grant/Contract Number:: SC0001015; SC0010010

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; Field Theories in Lower Dimensions; Higher Spin Symmetry

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                    Peng, Cheng. Vector models and generalized SYK models.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP05(2017)129.

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                    Peng, Cheng. Vector models and generalized SYK models.  United States.  https://doi.org/10.1007/JHEP05(2017)129

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                    Peng, Cheng. Tue .  
"Vector models and generalized SYK models".  United States.  https://doi.org/10.1007/JHEP05(2017)129.  https://www.osti.gov/servlets/purl/1389554.

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@article{osti_1389554,

  title        = {Vector models and generalized SYK models},

  author       = {Peng, Cheng},

  abstractNote = {Here, we consider the relation between SYK-like models and vector models by studying a toy model where a tensor field is coupled with a vector field. By integrating out the tensor field, the toy model reduces to the Gross-Neveu model in 1 dimension. On the other hand, a certain perturbation can be turned on and the toy model flows to an SYK-like model at low energy. Furthermore, a chaotic-nonchaotic phase transition occurs as the sign of the perturbation is altered. We further study similar models that possess chaos and enhanced reparameterization symmetries.},

  doi          = {10.1007/JHEP05(2017)129},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 5,

  volume       = 2017,

  place        = {United States},

  year         = {Tue May 23 00:00:00 EDT 2017},

  month        = {Tue May 23 00:00:00 EDT 2017}

}

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Bi-Local Holography in the SYK Model
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Solvable model for a dynamical quantum phase transition from fast to slow scrambling
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Works referencing / citing this record:

A note on the complex SYK model and warped CFTs
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2PI effective action for the SYK model and tensor field theories
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Benedetti, Dario; Gurau, Razvan
arXiv
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Similar Records

Title: Vector models and generalized SYK models

Abstract

Citation Formats

Higher-Spin Gauge Theories in Four, Three and two Dimensions journal, December 1996

The complete 1/N expansion of a SYK–like tensor model journal, March 2017

Sachdev–Ye–Kitaev model as Liouville quantum mechanics journal, October 2016

The effective theory of long strings journal, May 2013

O(N) Random Tensor Models journal, August 2016

Four-point function in the IOP matrix model journal, May 2016

Bi-local holography in the SYK model: perturbations journal, November 2016

Matrix models for the black hole information paradox journal, February 2010

The spectrum in the Sachdev-Ye-Kitaev model journal, April 2016

Constraining conformal field theories with a slightly broken higher spin symmetry journal, May 2013

Black holes and the butterfly effect journal, March 2014

Higgsing the stringy higher spin symmetry journal, October 2015

Mean Field Theory of a Quantum Heisenberg Spin Glass journal, July 2000

Stringy effects in scrambling journal, May 2015

Bi-local holography in the SYK model journal, July 2016

Quantum chaos and holographic tensor models journal, March 2017

On stringy AdS 5 × S 5 and higher spin holography journal, July 2003

Higher spins & strings journal, November 2014

Chern–Simons theory with vector fermion matter journal, August 2012

Non-Fermi-liquid regime of a doped Mott insulator journal, February 1999

A generalization of Sachdev-Ye-Kitaev journal, February 2017

On higher spins and the tensionless limit of string theory journal, March 2004

The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories journal, December 2007

Anti-de Sitter fragmentation journal, February 1999

Solvable model for a dynamical quantum phase transition from fast to slow scrambling journal, April 2017

AdS dual of the critical O(N) vector model journal, December 2002

Instability of the non-Fermi-liquid state of the Sachdev-Ye-Kitaev model journal, May 2017

Tensionless strings, WZW models at critical level and massless higher spin fields journal, March 2004

Higher Spin Symmetry and N =4 SYM journal, July 2004

A bound on chaos journal, August 2016

AdS 2 quantum gravity and string theory journal, January 1999

Higher dimensional generalizations of the SYK model journal, January 2017

Free large N supersymmetric Yang-Mills theory as a string theory journal, March 2000

Aspects of AdS2 Holography with Non-Constant Dilaton journal, March 2017

Critical behavior of colored tensor models in the large N limit journal, December 2011

The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension journal, July 2011

Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states journal, March 2017

Holographic Metals and the Fractionalized Fermi Liquid journal, October 2010

Holography in 4D (super) higher spin theories and a test via cubic scalar couplings journal, July 2005

Numerical study of fermion and boson models with infinite-range random interactions journal, July 2016

A supersymmetric SYK-like tensor model journal, May 2017

Higher spin gauge theory and holography: the three-point functions journal, September 2010

Higher spins & strings text, January 2014

Higgsing the stringy higher spin symmetry text, January 2015

The complete 1/N expansion of colored tensor models in arbitrary dimension text, January 2011

Critical behavior of colored tensor models in the large N limit text, January 2011

The Effective Theory of Long Strings text, January 2013

Higher Spins & Strings text, January 2014

Stringy effects in scrambling preprint, January 2014

A bound on chaos text, January 2015

Higgsing the stringy higher spin symmetry preprint, January 2015

$O(N)$ Random Tensor Models text, January 2015

The Spectrum in the Sachdev-Ye-Kitaev Model text, January 2016

Four-point function in the IOP matrix model preprint, January 2016

Bi-Local Holography in the SYK Model text, January 2016

An Investigation of AdS$_2$ Backreaction and Holography text, January 2016

A Generalization of Sachdev-Ye-Kitaev text, January 2016

Solvable model for a dynamical quantum phase transition from fast to slow scrambling text, January 2016

The complete $1/N$ expansion of a SYK--like tensor model text, January 2016

Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet text, January 1992

Anti-de Sitter Fragmentation text, January 1998

A note on the complex SYK model and warped CFTs journal, December 2018

The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three journal, August 2019

An introduction to the SYK model journal, July 2019

The ${\imath }\epsilon $ prescription in the SYK model journal, January 2018

Conformality of 1 / N corrections in Sachdev-Ye-Kitaev-like models journal, December 2019

Thickening and sickening the SYK model journal, January 2018

Three Dimensional View of the SYK/AdS Duality text, January 2017

Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath text, January 2017

2PI effective action for the SYK model and tensor field theories text, January 2018

Higher-Spin Gauge Theories in Four, Three and two Dimensions
journal, December 1996

The complete 1/N expansion of a SYK–like tensor model
journal, March 2017

Sachdev–Ye–Kitaev model as Liouville quantum mechanics
journal, October 2016

The effective theory of long strings
journal, May 2013

O(N) Random Tensor Models
journal, August 2016

Four-point function in the IOP matrix model
journal, May 2016

Bi-local holography in the SYK model: perturbations
journal, November 2016

Matrix models for the black hole information paradox
journal, February 2010

The spectrum in the Sachdev-Ye-Kitaev model
journal, April 2016

Constraining conformal field theories with a slightly broken higher spin symmetry
journal, May 2013

Black holes and the butterfly effect
journal, March 2014

Higgsing the stringy higher spin symmetry
journal, October 2015

Mean Field Theory of a Quantum Heisenberg Spin Glass
journal, July 2000

Stringy effects in scrambling
journal, May 2015

Bi-local holography in the SYK model
journal, July 2016

Quantum chaos and holographic tensor models
journal, March 2017

On stringy AdS ₅ × S ⁵ and higher spin holography
journal, July 2003

Higher spins & strings
journal, November 2014

Chern–Simons theory with vector fermion matter
journal, August 2012

Non-Fermi-liquid regime of a doped Mott insulator
journal, February 1999

A generalization of Sachdev-Ye-Kitaev
journal, February 2017

On higher spins and the tensionless limit of string theory
journal, March 2004

The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
journal, December 2007

Anti-de Sitter fragmentation
journal, February 1999

Solvable model for a dynamical quantum phase transition from fast to slow scrambling
journal, April 2017

AdS dual of the critical O(N) vector model
journal, December 2002

Instability of the non-Fermi-liquid state of the Sachdev-Ye-Kitaev model
journal, May 2017

Tensionless strings, WZW models at critical level and massless higher spin fields
journal, March 2004

Higher Spin Symmetry and N =4 SYM
journal, July 2004

A bound on chaos
journal, August 2016

AdS ₂ quantum gravity and string theory
journal, January 1999

Higher dimensional generalizations of the SYK model
journal, January 2017

Free large N supersymmetric Yang-Mills theory as a string theory
journal, March 2000

Aspects of AdS2 Holography with Non-Constant Dilaton
journal, March 2017

Critical behavior of colored tensor models in the large N limit
journal, December 2011

The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension
journal, July 2011

Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
journal, March 2017

Holographic Metals and the Fractionalized Fermi Liquid
journal, October 2010

Holography in 4D (super) higher spin theories and a test via cubic scalar couplings
journal, July 2005

Numerical study of fermion and boson models with infinite-range random interactions
journal, July 2016

A supersymmetric SYK-like tensor model
journal, May 2017

Higher spin gauge theory and holography: the three-point functions
journal, September 2010

Higher spins & strings
text, January 2014

Higgsing the stringy higher spin symmetry
text, January 2015

The complete 1/N expansion of colored tensor models in arbitrary dimension
text, January 2011

Critical behavior of colored tensor models in the large N limit
text, January 2011

The Effective Theory of Long Strings
text, January 2013

Higher Spins & Strings
text, January 2014

Stringy effects in scrambling
preprint, January 2014

A bound on chaos
text, January 2015

Higgsing the stringy higher spin symmetry
preprint, January 2015

$O(N)$ Random Tensor Models
text, January 2015

The Spectrum in the Sachdev-Ye-Kitaev Model
text, January 2016

Four-point function in the IOP matrix model
preprint, January 2016

Bi-Local Holography in the SYK Model
text, January 2016

An Investigation of AdS$_2$ Backreaction and Holography
text, January 2016

A Generalization of Sachdev-Ye-Kitaev
text, January 2016

Solvable model for a dynamical quantum phase transition from fast to slow scrambling
text, January 2016

The complete $1/N$ expansion of a SYK--like tensor model
text, January 2016

Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
text, January 1992

Anti-de Sitter Fragmentation
text, January 1998

A note on the complex SYK model and warped CFTs
journal, December 2018

The 1 / N Expansion of the Symmetric Traceless and the Antisymmetric Tensor Models in Rank Three
journal, August 2019

An introduction to the SYK model
journal, July 2019

The ${\imath }\epsilon $ prescription in the SYK model
journal, January 2018

Conformality of $1 / N$ corrections in Sachdev-Ye-Kitaev-like models
journal, December 2019

Thickening and sickening the SYK model
journal, January 2018

Three Dimensional View of the SYK/AdS Duality
text, January 2017

Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
text, January 2017

2PI effective action for the SYK model and tensor field theories
text, January 2018