Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography

Brodskey, Stanley J.; de Teramond, Guy; Deur, Alexandre P.

doi:10.1103/PhysRevD.81.096010

Title: Nonperturbative QCD Coupling and its $$\beta$$-function from Light-Front Holography

Abstract

The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a non-perturbative effective coupling $$\alpha_s^{AdS}(Q^2)$$. It agrees with hadron physics data extracted from different observables, such as the effective charge defined by the Bjorken sum rule, as well as with the predictions of models with built-in confinement and lattice simulations. It also displays a transition from perturbative to nonperturbative conformal regimes at a momentum scale $$ \sim 1$$ GeV. The resulting $$\beta$$-function appears to capture the essential characteristics of the full $$\beta$$-function of QCD, thus giving further support to the application of the gauge/gravity duality to the confining dynamics of strongly coupled QCD. Commensurate scale relations relate observables to each other without scheme or scale ambiguity. In this paper we extrapolate these relations to the nonperturbative domain, thus extending the range of predictions based on $$\alpha_s^{AdS}(Q^2)$$.

Authors:

Brodskey, Stanley J. ^[1]; de Teramond, Guy ^[2]; Deur, Alexandre P. ^[3]

SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Costa Rica, San Jose (Costa Rica)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Fri May 28 00:00:00 EDT 2010

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 979912

Report Number(s):: JLAB-PHY-10-1128; DOE/OR/23177-1142
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1003405

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 81; Journal Issue: 9; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFINEMENT; DUALITY; EFFECTIVE CHARGE; HADRONS; HOLOGRAPHY; PHYSICS; QUANTUM CHROMODYNAMICS; SUM RULES

Citation Formats


                    Brodskey, Stanley J., de Teramond, Guy, and Deur, Alexandre P. Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography.  United States: N. p., 2010. 
        Web.  doi:10.1103/PhysRevD.81.096010.

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                    Brodskey, Stanley J., de Teramond, Guy, & Deur, Alexandre P. Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography.  United States.  https://doi.org/10.1103/PhysRevD.81.096010

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                    Brodskey, Stanley J., de Teramond, Guy, and Deur, Alexandre P. 2010.  
        "Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography".  United States.  https://doi.org/10.1103/PhysRevD.81.096010.  https://www.osti.gov/servlets/purl/979912.

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@article{osti_979912,

  title        = {Nonperturbative QCD Coupling and its $\beta$-function from Light-Front Holography},

  author       = {Brodskey, Stanley J. and de Teramond, Guy and Deur, Alexandre P.},

  abstractNote = {The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a non-perturbative effective coupling $\alpha_s^{AdS}(Q^2)$. It agrees with hadron physics data extracted from different observables, such as the effective charge defined by the Bjorken sum rule, as well as with the predictions of models with built-in confinement and lattice simulations. It also displays a transition from perturbative to nonperturbative conformal regimes at a momentum scale $ \sim 1$ GeV. The resulting $\beta$-function appears to capture the essential characteristics of the full $\beta$-function of QCD, thus giving further support to the application of the gauge/gravity duality to the confining dynamics of strongly coupled QCD. Commensurate scale relations relate observables to each other without scheme or scale ambiguity. In this paper we extrapolate these relations to the nonperturbative domain, thus extending the range of predictions based on $\alpha_s^{AdS}(Q^2)$.},

  doi          = {10.1103/PhysRevD.81.096010},

  url          = {https://www.osti.gov/biblio/979912},
  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  issn         = {1550-7998},

  number       = 9,

  volume       = 81,

  place        = {United States},

  year         = {Fri May 28 00:00:00 EDT 2010},

  month        = {Fri May 28 00:00:00 EDT 2010}

}

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Angular Distributions of Massive Quarks and Leptons Close to Threshold
text, January 1995

Brodsky, S. J.; Hoang, A. H.; Kuhn, J. H.
arXiv
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Gauge Theory Correlators from Non-Critical String Theory
text, January 1998

Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
arXiv
https://doi.org/10.48550/arxiv.hep-th/9802109

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text, January 1998

Witten, Edward
arXiv
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UV/IR Relations in AdS Dynamics
text, January 1998

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arXiv
https://doi.org/10.48550/arxiv.hep-th/9809022

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text, January 2004

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arXiv
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Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD
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Collective Perspective on Advances in Dyson—Schwinger Equation QCD
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Bashir, Adnan; Chang, Lei; Cloët, Ian C.
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Two-gluon and trigluon glueballs from dynamical holography QCD
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Chen, Yi-dian; Huang, Mei
Chinese Physics C, Vol. 40, Issue 12
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Dehghani, Majid
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Dehghani, Majid
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Brodsky, Stanley J.
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An explanation for dark matter and dark energy consistent with the Standard Model of particle physics and General Relativity
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Title: Nonperturbative QCD Coupling and its $$\beta$$-function from Light-Front Holography

Abstract

Citation Formats

Pinch technique: Theory and applications journal, August 2009

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Gauge theory correlators from non-critical string theory journal, May 1998

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Light-front dynamics and AdS/QCD correspondence: The pion form factor in the space- and time-like regions journal, March 2008

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Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra journal, February 2010

Renormalization group improved perturbative QCD journal, September 1980

Renormalization-scheme-invariant QCD and QED: The method of effective charges journal, May 1984

On some ambiguities in the method of effective charges journal, July 1989

Commensurate scale relations in quantum chromodynamics journal, April 1995

The generalized Crewther relation in QCD and its experimental consequences journal, April 1996

The static potential in quantum chromodynamics journal, August 1977

Applications of the Chiral U ( 6 ) ⊗ U ( 6 ) Algebra of Current Densities journal, August 1966

Hard Scattering and Gauge/String Duality journal, January 2002

Scaling Laws at Large Transverse Momentum journal, October 1973

Automodellism in the large-angle elastic scattering and structure of hadrons journal, August 1973

Linear confinement and AdS/QCD journal, July 2006

Heavy-quark potentials and AdS/QCD journal, July 2006

Gluon condensate induced confinement in mesons and baryons journal, November 1987

Chiral symmetry breaking in the soft-wall AdS/QCD model journal, April 2009

QCD and a Holographic Model of Hadrons journal, December 2005

Chiral symmetry breaking from five-dimensional spaces journal, August 2005

The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking journal, January 2006

Light-front hadron dynamics and AdS/CFT correspondence journal, March 2004

Forms of Relativistic Dynamics journal, July 1949

Quantum chromodynamics and other field theories on the light cone journal, August 1998

Parton model and the Bethe-Salpeter wave function journal, February 1977

Dynamical mass generation in continuum quantum chromodynamics journal, September 1982

Maximum wavelength of confined quarks and gluons and properties of quantum chromodynamics journal, August 2008

Toward a systematic holographic QCD: a braneless approach journal, May 2007

Geometric approach to condensates in holographic QCD journal, April 2006

Exploring improved holographic theories for QCD: part I journal, February 2008

Exploring improved holographic theories for QCD: part II journal, February 2008

Heavy quark potentials in some renormalization group revised AdS/QCD models journal, December 2008

Phenomenology of AdS/QCD and its gravity dual journal, July 2010

Gauge/gravity duality model for gauge theory thermodynamics journal, December 2009

Holographic conformal window — a bottom up approach journal, May 2010

What the Gribov copy tells about confinement and the theory of dynamical chiral symmetry breaking journal, November 2004

Experimental determination of the effective strong coupling constant journal, July 2007

Exact Sum Rule for Nucleon Magnetic Moments journal, May 1966

Pion photoproduction on the nucleon conference, January 2005

Multiplicative renormalizability and quark propagator journal, August 2002

Bethe-Salpeter study of vector meson masses and decay constants journal, October 1999

Infrared exponents and running coupling of SU(N) Yang–Mills theories journal, May 2002

Elusiveness of infrared critical exponents in Landau gauge Yang-Mills theories journal, April 2002

Conformal invariance in perturbation theory journal, May 1972

Quantum Electrodynamics at Small Distances journal, September 1954

On the elimination of scale ambiguities in perturbative quantum chromodynamics journal, July 1983

Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order α s 4 in a General Gauge Theory journal, March 2010

Charmonium: The model journal, June 1978

Charmonium: Comparison with experiment journal, January 1980

Experimental Determination of the Evolution of the Bjorken Integral at Low Q 2 journal, November 2004

Experimental study of isovector spin sum rules journal, August 2008

Measurement of α s ( Q 2 ) from the Gross–Llewellyn Smith Sum Rule journal, October 1998

Mesons in a relativized quark model with chromodynamics journal, July 1985

Review of Particle Physics journal, September 2008

Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson journal, February 2010

Strong-coupling constant in coordinate space journal, December 2000

The static potential in QCD — a full two-loop calculation journal, September 1997

The static potential in QCD to two loops journal, February 1999

Non-Abelian α s 3 / ( m q r 2 ) heavy-quark–antiquark potential journal, April 2002

Static QCD Potential at Three-Loop Order journal, March 2010

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering journal, March 2002

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering journal, May 2002

Angular distributions of massive quarks and leptons close to threshold journal, October 1995

k T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions journal, June 2007

Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive deep Inelastic Scattering journal, March 2003

Linear Confinement and Ads/Qcd conference, January 2012

Review of Particle Physics text, January 2008

Commensurate scale relations in quantum chromodynamics journal, March 1995

The large N limit of superconformal field theories and supergravity conference, January 1999

Quantum Electrodynamics at Small Distances journal, July 1969

Conformal invariance in perturbation theory text, January 1972

Pinch technique: Theory and applications
journal, August 2009

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Gauge theory correlators from non-critical string theory
journal, May 1998

Anti de Sitter space and holography
journal, January 1998

Light-Front Holography: A First Approximation to QCD
journal, February 2009

Hadronic Spectra and Light-Front Wave Functions in Holographic QCD
journal, May 2006

Light-front dynamics and AdS/QCD correspondence: The pion form factor in the space- and time-like regions
journal, March 2008

Light-front dynamics and AdS/QCD correspondence: Gravitational form factors of composite hadrons
journal, July 2008

Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra
journal, February 2010

Renormalization group improved perturbative QCD
journal, September 1980

Renormalization-scheme-invariant QCD and QED: The method of effective charges
journal, May 1984

On some ambiguities in the method of effective charges
journal, July 1989

Commensurate scale relations in quantum chromodynamics
journal, April 1995

The generalized Crewther relation in QCD and its experimental consequences
journal, April 1996

The static potential in quantum chromodynamics
journal, August 1977

Applications of the Chiral $U (6) \otimes U (6)$ Algebra of Current Densities
journal, August 1966

Hard Scattering and Gauge/String Duality
journal, January 2002

Scaling Laws at Large Transverse Momentum
journal, October 1973

Automodellism in the large-angle elastic scattering and structure of hadrons
journal, August 1973

Linear confinement and AdS/QCD
journal, July 2006

Heavy-quark potentials and AdS/QCD
journal, July 2006

Gluon condensate induced confinement in mesons and baryons
journal, November 1987

Chiral symmetry breaking in the soft-wall AdS/QCD model
journal, April 2009

QCD and a Holographic Model of Hadrons
journal, December 2005

Chiral symmetry breaking from five-dimensional spaces
journal, August 2005

The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
journal, January 2006

Light-front hadron dynamics and AdS/CFT correspondence
journal, March 2004

Forms of Relativistic Dynamics
journal, July 1949

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Parton model and the Bethe-Salpeter wave function
journal, February 1977

Dynamical mass generation in continuum quantum chromodynamics
journal, September 1982

Maximum wavelength of confined quarks and gluons and properties of quantum chromodynamics
journal, August 2008

Toward a systematic holographic QCD: a braneless approach
journal, May 2007

Geometric approach to condensates in holographic QCD
journal, April 2006

Exploring improved holographic theories for QCD: part I
journal, February 2008

Exploring improved holographic theories for QCD: part II
journal, February 2008

Heavy quark potentials in some renormalization group revised AdS/QCD models
journal, December 2008

Phenomenology of AdS/QCD and its gravity dual
journal, July 2010

Gauge/gravity duality model for gauge theory thermodynamics
journal, December 2009

Holographic conformal window — a bottom up approach
journal, May 2010

What the Gribov copy tells about confinement and the theory of dynamical chiral symmetry breaking
journal, November 2004

Experimental determination of the effective strong coupling constant
journal, July 2007

Exact Sum Rule for Nucleon Magnetic Moments
journal, May 1966

Pion photoproduction on the nucleon
conference, January 2005

Multiplicative renormalizability and quark propagator
journal, August 2002

Bethe-Salpeter study of vector meson masses and decay constants
journal, October 1999

Infrared exponents and running coupling of SU(N) Yang–Mills theories
journal, May 2002

Elusiveness of infrared critical exponents in Landau gauge Yang-Mills theories
journal, April 2002

Conformal invariance in perturbation theory
journal, May 1972

Quantum Electrodynamics at Small Distances
journal, September 1954

On the elimination of scale ambiguities in perturbative quantum chromodynamics
journal, July 1983

Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order $α_{s}^{4}$ in a General Gauge Theory
journal, March 2010

Charmonium: The model
journal, June 1978

Charmonium: Comparison with experiment
journal, January 1980

Experimental Determination of the Evolution of the Bjorken Integral at Low $Q^{2}$
journal, November 2004

Experimental study of isovector spin sum rules
journal, August 2008

Measurement of $α_{s} (Q^{2})$ from the Gross–Llewellyn Smith Sum Rule
journal, October 1998

Mesons in a relativized quark model with chromodynamics
journal, July 1985

Review of Particle Physics
journal, September 2008

Scrutinizing the Green's functions of QCD: Lattice meets Schwinger-Dyson
journal, February 2010

Strong-coupling constant in coordinate space
journal, December 2000

The static potential in QCD — a full two-loop calculation
journal, September 1997

The static potential in QCD to two loops
journal, February 1999

Non-Abelian $α_{s}^{3} {/ (m}_{q} r^{2})$ heavy-quark–antiquark potential
journal, April 2002

Static QCD Potential at Three-Loop Order
journal, March 2010

Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering
journal, March 2002

Leading-twist single-transverse-spin asymmetries: Drell–Yan and deep-inelastic scattering
journal, May 2002

Angular distributions of massive quarks and leptons close to threshold
journal, October 1995

$k_{T}$ factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
journal, June 2007

Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive deep Inelastic Scattering
journal, March 2003

Linear Confinement and Ads/Qcd
conference, January 2012

Review of Particle Physics
text, January 2008

Commensurate scale relations in quantum chromodynamics
journal, March 1995

The large N limit of superconformal field theories and supergravity
conference, January 1999

Quantum Electrodynamics at Small Distances
journal, July 1969

Conformal invariance in perturbation theory
text, January 1972

Review of Particle Physics
text, January 2012

Chiral symmetry breaking from five dimensional spaces
journal, February 2007

Exploring improved holographic theories for QCD: Part II
text, January 2007