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Keywords
(10)
Analytical Method
Anomalous Dimension
bethe ansatz
Integrable Quantum Field Theory
Perturbation Theory
Quantum Integrability
Scale Function
Spin Chain
Strong Coupling
super yangmills theory
Related Publications
(2)
Strong coupling limit of Bethe ansatz equations
A semiclassical limit of the gauge/string correspondence
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The scaling function at strong coupling from the quantum string Bethe equations
The scaling function at strong coupling from the quantum string Bethe equations,10.1088/11266708/2007/04/066,Journal of High Energy Physics,Matteo Be
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The scaling function at strong coupling from the quantum string Bethe equations
(
Citations: 26
)
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Matteo Beccaria
,
Gian Fabrizio DeAngelis
,
Valentina Forini
We study at
strong coupling
the scaling function describing the large spin
anomalous dimension
of twist two operators in Script N = 4 super YangMills theory. In the spirit of AdS/CFT duality, it is possible to extract it from the string
Bethe Ansatz
equations in the fraktur sfraktur l(2) sector of the AdS5 × S5 superstring. To this aim, we present a detailed analysis of the Bethe equations by numerical and analytical methods. We recover several short string semiclassical results as a check. In the more difficult case of the long string limit providing the scaling function, we analyze the
strong coupling
version of the EdenStaudacher equation, including the ArutyunovFrolovStaudacher phase. We prove that it admits a unique solution, at least in perturbation theory, leading to the correct prediction consistent with semiclassical string calculations.
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 4, no. 04, pp. 066066, 2007
DOI:
10.1088/11266708/2007/04/066
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Citation Context
(8)
...pansion of the cusp anomalous dimension in powers of 1/g was derived in [20, 21, 22,
23
, 24]...
Z. Bajnok
,
et al.
Scaling function in AdS/CFT from the O(6) sigma model
...A similar solution in the context of AdS5/CF T4 duality has been already well studied for all values of λ [28, 29, 30,
31
, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46]...
Nikolay Gromov
,
et al.
Comment on the Scaling Function in AdS4 x CP3
...The analysis is greatly simplified if the BES dressing phase is replaced by its leading strong coupling term, the AFS phase [
28
]...
Matteo Beccaria
.
On the strong coupling expansion in the ����(11) sector of �� = 4 SYM
...The expansion of the BES [6] equation at strong coupling turned out to be a nontrivial problem [8, 9, 10, 11,
12
]...
Radu Roiban
,
et al.
Strongcoupling expansion of cusp anomaly from quantum superstring
...Some of the analytic properties of the solution of this equation were analyzed in [19], and in the leading strong coupling limit the behavior of the scaling function as predicted by string theory [20] through the AdS/CFT correspondence agrees with the analysis of the equation [21, 22, 23,
24
]...
Adam Rej
,
et al.
Nesting and dressing
References
(48)
Planar Amplitudes in Maximally Supersymmetric YangMills Theory
(
Citations: 128
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C. Anastasiou
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L. Dixon
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D. A. Kosower
Journal:
Physical Review Letters  PHYS REV LETT
, vol. 91, no. 25, 2003
Iteration of planar amplitudes in maximally supersymmetric YangMills theory at three loops and beyond
(
Citations: 204
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Vladimir A. Smirnov
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Lance J. Dixon
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Zvi Bern
Journal:
Physical Review D  PHYS REV D
, vol. 72, no. 8, pp. 085001085001, 2005
Multiloop amplitudes and resummation
(
Citations: 62
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George Sterman
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Journal:
Physics Letters B  PHYS LETT B
, vol. 552, no. 1, pp. 4856, 2003
Conformal four point functions and the operator product expansion
(
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F. A. Dolan
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Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 599, no. 1, pp. 459496, 2001
DGLAP and BFKL equations in the N=4 supersymmetric gauge theory
(
Citations: 51
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A. V. Kotikov
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Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 661, no. 1, pp. 1961, 2003
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Citations
(26)
Review of AdS/CFT Integrability, Chapter III.4: Twist States and the Cusp Anomalous Dimension
(
Citations: 11
)
Lisa Freyhult
Journal:
Letters in Mathematical Physics  LETT MATH PHYS
, pp. 122, 2011
Quantum folded string and integrability: from finite size effects to Konishi dimension
(
Citations: 2
)
Nikolay Gromov
,
Didina Serban
,
Igor Shenderovich
,
Dmytro Volin
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 8, pp. 123, 2011
Generalized scaling function from lightcone gauge AdS 5 × S 5 superstring
(
Citations: 12
)
S. Giombi
,
R. Ricci
,
R. Roiban
,
A. A. Tseytlin
,
C. Vergu
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2010, no. 6, pp. 151, 2010
Generalized GribovLipatov Reciprocity and AdS/CFT
(
Citations: 3
)
Matteo Beccaria
,
Valentina Forini
,
Guido Macorini
Journal:
Advances in High Energy Physics
, vol. 2010, pp. 138, 2010
The High Spin Expansion of Twist Sector Dimensions: The Planar 𝒩=4 Super YangMills Theory
Davide Fioravanti
,
Marco Rossi
Journal:
Advances in High Energy Physics
, vol. 2010, pp. 131, 2010