Multiband models for field theories with anomalous current dimension

Karch, Andreas

doi:10.1007/JHEP07(2015)021

Title: Multiband models for field theories with anomalous current dimension

Abstract

We give simple examples of weakly coupled or free quantum mechanical systems that exhibit scale invariance with an anomalous dimension for a conserved current. In these models scaling as an exact symmetry only emerges in a large N limit, but it remains as an approximate symmetry even at finite N.

Authors:

Karch, Andreas ^[1]

Univ. of Washington, Seattle, WA (United States). Dept. of Physics

Publication Date:: Tue Jul 07 00:00:00 EDT 2015

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1455175

Alternate Identifier(s):: OSTI ID: 1595201

Grant/Contract Number:: SC0011637

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: 2015; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Holography and condensed matter physics (AdS/CMT); 1/N Expansion; Renormalization Group

Citation Formats


                    Karch, Andreas. Multiband models for field theories with anomalous current dimension.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP07(2015)021.

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                    Karch, Andreas. Multiband models for field theories with anomalous current dimension.  United States.  https://doi.org/10.1007/JHEP07(2015)021

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                    Karch, Andreas. Tue .  
"Multiband models for field theories with anomalous current dimension".  United States.  https://doi.org/10.1007/JHEP07(2015)021.  https://www.osti.gov/servlets/purl/1455175.

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@article{osti_1455175,

  title        = {Multiband models for field theories with anomalous current dimension},

  author       = {Karch, Andreas},

  abstractNote = {We give simple examples of weakly coupled or free quantum mechanical systems that exhibit scale invariance with an anomalous dimension for a conserved current. In these models scaling as an exact symmetry only emerges in a large N limit, but it remains as an approximate symmetry even at finite N.},

  doi          = {10.1007/JHEP07(2015)021},

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

  number       = 7,

  volume       = 2015,

  place        = {United States},

  year         = {Tue Jul 07 00:00:00 EDT 2015},

  month        = {Tue Jul 07 00:00:00 EDT 2015}

}

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Journal Article:

Free Publicly Available Full Text

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https://doi.org/10.1007/JHEP07(2015)021

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Figures / Tables:

Figure 1: Free energy for $d$ = 2 as a function of chemical potential. Depicted is the comparison between the finite sum (solid line) with a) $N$ = 1, b) $N$ = 10 and c) $N$ = 20 levels to the scale invariant answer (dashed line) that emerges at largemore »

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Works referenced in this record:

Enhancement of the Hall-Lorenz number in optimally doped YBa ₂ Cu ₃ O _7−d
journal, November 2009

Matusiak, M.; Rogacki, K.; Veal, B. W.
EPL (Europhysics Letters), Vol. 88, Issue 4
DOI: 10.1209/0295-5075/88/47005

Conductivities for hyperscaling violating geometries
journal, June 2014

Karch, Andreas
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)140

Scaling theory of conserved current and universal amplitudes at anisotropic critical points
journal, August 1992

Wen, Xiao-Gang
Physical Review B, Vol. 46, Issue 5
DOI: 10.1103/PhysRevB.46.2655

Quantum phase transitions and conserved charges
journal, December 1994

Sachdev, Subir
Zeitschrift f�r Physik B Condensed Matter, Vol. 94, Issue 4
DOI: 10.1007/BF01317409

Quantum Effects on Four-Dimensional Space-Time Symmetries
journal, December 1984

Nieh, H. T.
Physical Review Letters, Vol. 53, Issue 23
DOI: 10.1103/PhysRevLett.53.2219

Un-Fermi liquids: Unparticles in strongly correlated electron matter
journal, September 2013

Phillips, Philip W.; Langley, Brandon W.; Hutasoit, Jimmy A.
Physical Review B, Vol. 88, Issue 11
DOI: 10.1103/PhysRevB.88.115129

Works referencing / citing this record:

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
journal, October 2019

Davison, Richard A.; Gentle, Simon A.; Goutéraux, Blaise
Physical Review D, Vol. 100, Issue 8
DOI: 10.1103/physrevd.100.086020

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
journalarticle, January 2019

Davison, Richard A.; Gentle, Simon A.; Goutéraux, Blaise
American Physical Society (APS)
DOI: 10.17863/cam.45725

Figures / Tables found in this record:

Figure 1 (p. 10)

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

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Title: Multiband models for field theories with anomalous current dimension

Abstract

Citation Formats

Figures / Tables:

Enhancement of the Hall-Lorenz number in optimally doped YBa 2 Cu 3 O 7−d journal, November 2009

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Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states journal, October 2019

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states journalarticle, January 2019

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journal, November 2009

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journal, August 1992

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journal, October 2019

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