NLO evolution of color dipoles in N=4 SYM

Chirilli, Giovanni A.; Balitsky, Ian

doi:10.1016/j.nuclphysb.2009.07.003

Title: NLO evolution of color dipoles in N=4 SYM

Abstract

Here, high-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal $${\cal N}$$=4 SYM theory. We define the "composite dipole operator" with the rapidity cutoff preserving conformal invariance.

Authors:

Chirilli, Giovanni A. ^[1]; Balitsky, Ian ^[1]

Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Sat Jul 04 00:00:00 EDT 2009

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 979627

Report Number(s):: JLAB-THY-09-961; DOE/OR/23177-0660
Journal ID: ISSN 0550-3213; TRN: US1003238

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Nuclear Physics. B

Additional Journal Information:: Journal Volume: 822; Journal Issue: 1-2; Journal ID: ISSN 0550-3213

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; APPROXIMATIONS; COLOR; CONFORMAL INVARIANCE; COUPLING CONSTANTS; DIPOLES; KERNELS; PARTICLE RAPIDITY; QUANTUM CHROMODYNAMICS; high-energy asymptotics; evolution of Wilson lines; conformal invariance

Citation Formats


                    Chirilli, Giovanni A., and Balitsky, Ian. NLO evolution of color dipoles in N=4 SYM.  United States: N. p., 2009. 
Web.  doi:10.1016/j.nuclphysb.2009.07.003.

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                    Chirilli, Giovanni A., & Balitsky, Ian. NLO evolution of color dipoles in N=4 SYM.  United States.  https://doi.org/10.1016/j.nuclphysb.2009.07.003

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                    Chirilli, Giovanni A., and Balitsky, Ian. Sat .  
"NLO evolution of color dipoles in N=4 SYM".  United States.  https://doi.org/10.1016/j.nuclphysb.2009.07.003.  https://www.osti.gov/servlets/purl/979627.

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@article{osti_979627,

  title        = {NLO evolution of color dipoles in N=4 SYM},

  author       = {Chirilli, Giovanni A. and Balitsky, Ian},

  abstractNote = {Here, high-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of color dipoles. In QCD, the next-to-leading order BK equation has both conformal and non-conformal parts, the latter providing the running of the coupling constant. To separate the conformally invariant effects from the running-coupling effects, we calculate the NLO evolution of the color dipoles in the conformal ${\cal N}$=4 SYM theory. We define the "composite dipole operator" with the rapidity cutoff preserving conformal invariance.},

  doi          = {10.1016/j.nuclphysb.2009.07.003},

  journal      = {Nuclear Physics. B},

  number       = 1-2,

  volume       = 822,

  place        = {United States},

  year         = {Sat Jul 04 00:00:00 EDT 2009},

  month        = {Sat Jul 04 00:00:00 EDT 2009}

}

Copy to clipboard

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Title: NLO evolution of color dipoles in N=4 SYM

Abstract

Citation Formats

NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories journal, August 2000

DGLAP and BFKL equations in the N=4 supersymmetric gauge theory journal, June 2003

Erratum to: “DGLAP and BFKL equations in the N=4 supersymmetric gauge theory” journal, May 2004

Soft gluons in the infinite-momentum wave function and the BFKL pomeron journal, March 1994

Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes journal, August 1994

On determination of the large- gluon distribution at HERA journal, July 1994

The triple-pomeron regime and structure function of the pomeron in diffractive deep inelastic scattering at very smallx journal, December 1994

Operator expansion for high-energy scattering journal, March 1996

Small- x F 2 structure function of a nucleus including multiple Pomeron exchanges journal, June 1999

Unitarization of the BFKL Pomeron on a nucleus journal, March 2000

On the pomeranchuk singularity in asymptotically free theories journal, December 1975

Semihard processes in QCD journal, November 1983

Gluon recombination and shadowing at small values of x journal, May 1986

Small-x behavior and parton saturation: A QCD model journal, April 1990

Evolution at small : The color glass condensate journal, October 2005

Saturation physics and deuteron–gold collisions at RHIC journal, January 2006

Next-to-leading order evolution of color dipoles journal, January 2008

Wilson Loops in Large N Field Theories journal, June 1998

Nonlinear evolution in high-density QCD journal, May 2002

Superconformal operators in N = 4 super-Yang-Mills theory journal, August 2004

QCD non-leading corrections to weak decays as an application of regularization by dimensional reduction journal, September 1981

Quark contribution to the small- x evolution of color dipole journal, January 2007

Triumvirate of running couplings in small-x evolution journal, March 2007

Conformal kernel for the next-to-leading-order BFKL equation in N = 4 super Yang-Mills theory journal, February 2009

BFKL pomeron in the next-to-leading approximation journal, June 1998

Energy scale(s) and next-to-leading BFKL equation journal, July 1998

The dipole form of the BFKL kernel in supersymmetric Yang–Mills theories journal, March 2008

In pursuit of Pomeron loops: The Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner equation and the Wess-Zumino term journal, April 2005

From Target to Projectile and Back Again: Self-Duality of High-Energy Scattering Evolution in QCD journal, May 2005

Remarks on high energy evolution journal, March 2005

Effective Hamiltonian for QCD evolution at high energy journal, January 2006

Effective field theory for the small-x evolution journal, October 2001

High-energy effective action from scattering of QCD shock waves journal, October 2005

Extension of the JIMWLK equation in the low gluon density region journal, May 2005

Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling journal, June 2008

Field theory tests for correlators in the AdS-CFT correspondence journal, January 1999

Solution of the NLO BFKL equation and a strategy for solving the all-order BFKL equation journal, June 2013

Conformal symmetry of JIMWLK evolution at NLO journal, April 2014

Rapidity evolution of gluon TMD from low to moderate x journal, October 2015

Saturation in inclusive production beyond leading logarithm accuracy journal, August 2016

Dipole factorization for DIS at NLO: Loop correction to the γ T , L * → q q ¯ light-front wave functions journal, September 2016

When does the gluon reggeize? journal, May 2015

CGC/saturation approach: A new impact-parameter-dependent model in the next-to-leading order of perturbative QCD journal, December 2016

Resumming double non-global logarithms in the evolution of a jet journal, February 2018

High-energy evolution to three loops journal, February 2018

Non-linear evolution in QCD at high-energy beyond leading order journal, April 2019

NLO JIMWLK evolution unabridged journal, August 2014

Photon impact factor in the next-to-leading order journal, February 2011

Deep inelastic scattering in conformal QCD journal, March 2010

NLO evolution of 3-quark Wilson loop operator journal, January 2015

Improving the kinematics for low- x QCD evolution equations in coordinate space journal, April 2014

Single inclusive forward hadron production at next-to-leading order journal, June 2016

Dipole factorization for DIS at NLO: Combining the q q ¯ and q q ¯ g contributions journal, October 2017

High energy QCD at NLO: from light-cone wave function to JIMWLK evolution journal, May 2017

High-Energy Factorization and Evolution with Improved Kinematics journal, January 2011

Gluon TMD in particle production from low to moderate x journal, June 2016

Improving the kinematics for low-x QCD evolution equations in coordinate space conference, September 2014

High-energy factorization and evolution with improved kinematics text, January 2011

Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order text, January 2012

Solution of the NLO BFKL Equation and a Strategy for Solving the All-Order BFKL Equation text, January 2013

Rapidity evolution of Wilson lines at the next-to-leading order text, January 2013

Improving the kinematics for low-x QCD evolution equations in coordinate space text, January 2014

Conformal symmetry of JIMWLK Evolution at NLO text, January 2014

NLO JIMWLK evolution unabridged text, January 2014

Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order text, January 2015

High-energy evolution to three loops preprint, January 2016

CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD text, January 2016

Saturation in inclusive production beyond leading logarithm accuracy text, January 2016

Resummation of non-global logarithms and the BFKL equation journal, March 2018

Evolution equation for 3-quark Wilson loop operator journal, April 2013

Conformal symmetry of JIMWLK evolution at NLO journal, April 2014

γ * γ * cross section at NLO and properties of the BFKL evolution at higher orders journal, May 2014

NLO JIMWLK evolution unabridged journal, August 2014

Two-point correlator of twist-2 light-ray operators in N=4 SYM in BFKL approximation preprint, January 2013

Approaching the BFKL pomeron via integrable classical solutions text, January 2013

On the low-x NLO evolution of 4 point colorless operators text, January 2015

Solving the Balitsky-Kovchegov equation at next to leading order accuracy preprint, January 2015

NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
journal, August 2000

DGLAP and BFKL equations in the N=4 supersymmetric gauge theory
journal, June 2003

Erratum to: “DGLAP and BFKL equations in the N=4 supersymmetric gauge theory”
journal, May 2004

Soft gluons in the infinite-momentum wave function and the BFKL pomeron
journal, March 1994

Single and double BFKL pomeron exchange and a dipole picture of high energy hard processes
journal, August 1994

On determination of the large- gluon distribution at HERA
journal, July 1994

The triple-pomeron regime and structure function of the pomeron in diffractive deep inelastic scattering at very smallx
journal, December 1994

Operator expansion for high-energy scattering
journal, March 1996

Small- x $F_{2}$ structure function of a nucleus including multiple Pomeron exchanges
journal, June 1999

Unitarization of the BFKL Pomeron on a nucleus
journal, March 2000

On the pomeranchuk singularity in asymptotically free theories
journal, December 1975

Semihard processes in QCD
journal, November 1983

Gluon recombination and shadowing at small values of x
journal, May 1986

Small-x behavior and parton saturation: A QCD model
journal, April 1990

Evolution at small : The color glass condensate
journal, October 2005

Saturation physics and deuteron–gold collisions at RHIC
journal, January 2006

Next-to-leading order evolution of color dipoles
journal, January 2008

Wilson Loops in Large $N$ Field Theories
journal, June 1998

Nonlinear evolution in high-density QCD
journal, May 2002

Superconformal operators in $N = 4$ super-Yang-Mills theory
journal, August 2004

QCD non-leading corrections to weak decays as an application of regularization by dimensional reduction
journal, September 1981

Quark contribution to the small- $x$ evolution of color dipole
journal, January 2007

Triumvirate of running couplings in small-x evolution
journal, March 2007

Conformal kernel for the next-to-leading-order BFKL equation in $N = 4$ super Yang-Mills theory
journal, February 2009

BFKL pomeron in the next-to-leading approximation
journal, June 1998

Energy scale(s) and next-to-leading BFKL equation
journal, July 1998

The dipole form of the BFKL kernel in supersymmetric Yang–Mills theories
journal, March 2008

In pursuit of Pomeron loops: The Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner equation and the Wess-Zumino term
journal, April 2005

From Target to Projectile and Back Again: Self-Duality of High-Energy Scattering Evolution in QCD
journal, May 2005

Remarks on high energy evolution
journal, March 2005

Effective Hamiltonian for QCD evolution at high energy
journal, January 2006

Effective field theory for the small-x evolution
journal, October 2001

High-energy effective action from scattering of QCD shock waves
journal, October 2005

Extension of the JIMWLK equation in the low gluon density region
journal, May 2005

Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling
journal, June 2008

Field theory tests for correlators in the AdS-CFT correspondence
journal, January 1999

Solution of the NLO BFKL equation and a strategy for solving the all-order BFKL equation
journal, June 2013

Conformal symmetry of JIMWLK evolution at NLO
journal, April 2014

Rapidity evolution of gluon TMD from low to moderate x
journal, October 2015

Saturation in inclusive production beyond leading logarithm accuracy
journal, August 2016

Dipole factorization for DIS at NLO: Loop correction to the $γ_{T, L}^{*} \to q \bar{q}$ light-front wave functions
journal, September 2016

When does the gluon reggeize?
journal, May 2015

CGC/saturation approach: A new impact-parameter-dependent model in the next-to-leading order of perturbative QCD
journal, December 2016

Resumming double non-global logarithms in the evolution of a jet
journal, February 2018

High-energy evolution to three loops
journal, February 2018

Non-linear evolution in QCD at high-energy beyond leading order
journal, April 2019

NLO JIMWLK evolution unabridged
journal, August 2014

Photon impact factor in the next-to-leading order
journal, February 2011

Deep inelastic scattering in conformal QCD
journal, March 2010

NLO evolution of 3-quark Wilson loop operator
journal, January 2015

Improving the kinematics for low- $x$ QCD evolution equations in coordinate space
journal, April 2014

Single inclusive forward hadron production at next-to-leading order
journal, June 2016

Dipole factorization for DIS at NLO: Combining the $q \bar{q}$ and $q \bar{q} g$ contributions
journal, October 2017

High energy QCD at NLO: from light-cone wave function to JIMWLK evolution
journal, May 2017

High-Energy Factorization and Evolution with Improved Kinematics
journal, January 2011

Gluon TMD in particle production from low to moderate x
journal, June 2016

Improving the kinematics for low-x QCD evolution equations in coordinate space
conference, September 2014

High-energy factorization and evolution with improved kinematics
text, January 2011

Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order
text, January 2012

Solution of the NLO BFKL Equation and a Strategy for Solving the All-Order BFKL Equation
text, January 2013

Rapidity evolution of Wilson lines at the next-to-leading order
text, January 2013

Improving the kinematics for low-x QCD evolution equations in coordinate space
text, January 2014

Conformal symmetry of JIMWLK Evolution at NLO
text, January 2014

NLO JIMWLK evolution unabridged
text, January 2014

Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
text, January 2015

High-energy evolution to three loops
preprint, January 2016

CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
text, January 2016

Saturation in inclusive production beyond leading logarithm accuracy
text, January 2016

Resummation of non-global logarithms and the BFKL equation
journal, March 2018

Evolution equation for 3-quark Wilson loop operator
journal, April 2013

Conformal symmetry of JIMWLK evolution at NLO
journal, April 2014

γ * γ * cross section at NLO and properties of the BFKL evolution at higher orders
journal, May 2014

NLO JIMWLK evolution unabridged
journal, August 2014

Two-point correlator of twist-2 light-ray operators in N=4 SYM in BFKL approximation
preprint, January 2013

Approaching the BFKL pomeron via integrable classical solutions
text, January 2013

On the low-x NLO evolution of 4 point colorless operators
text, January 2015

Solving the Balitsky-Kovchegov equation at next to leading order accuracy
preprint, January 2015

Solving the NLO BK equation in coordinate space
text, January 2015

The Edge of Jets and Subleading Non-Global Logs
preprint, January 2015

Single inclusive forward hadron production at next-to-leading order
text, January 2016