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90
Konishi operator at intermediate coupling
- J. Phys. A44
"... Abstract: TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to ’t Hooft’s coupling λ ≈ 2046. The data obtained is used to analyze the properties of Y-functions and address the issue o ..."
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Abstract: TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to ’t Hooft’s coupling λ ≈ 2046. The data obtained is used to analyze the properties of Y-functions and address the issue of the existence of the critical values of the coupling. In addition we find a new integral representation for the BES dressing phase which substantially reduces the computational time.
A new derivation of Luscher F-term and fluctuations around the giant magnon
- JHEP 0806 (2008) 036 [arXiv:0801.4463 [hepth
"... giant magnon ..."
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Interacting finite-size magnons
- J. Phys. A41
"... We explicitly construct a large class of finite-volume two-magnon string solutions moving on × S2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breat ..."
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We explicitly construct a large class of finite-volume two-magnon string solutions moving on × S2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breather-like solutions. After semi-classically quantizing these solutions we invert the implicit expressions for the excitation energies in certain limits and find the corrections for the multi-magnon states. For the breather-like solutions we express the energies directly in terms of the action variable whereas for the scattering solution we express the result as a combination of corrections
Temperature quantization from the TBA equations
, 2009
"... We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS5 × S5 superstring living on a cylinder. The light-cone momentum of string is equal to the circumference of the cylinder, and is identified with the inverse temperatu ..."
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Cited by 8 (0 self)
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We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS5 × S5 superstring living on a cylinder. The light-cone momentum of string is equal to the circumference of the cylinder, and is identified with the inverse temperature of the mirror model. We show that the natural requirement of the analyticity of the Y-functions leads to the quantization of the temperature of the mirror model which has never been observed in any other models.
Anomalous dimensions of finite size field strength operators
- in N=4 SYM,” arXiv:0710.0217 [hep-th
"... ABSTRACT: In the ��super Yang-Mills theory, we consider the higher order anomalous dimensions �of purely gluonic operators Tr�where�is a component of the self-dual field strength. We propose compact closed expressions depending parametrically on that reproduce the prediction of Bethe Ansatz equation ..."
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Cited by 7 (3 self)
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ABSTRACT: In the ��super Yang-Mills theory, we consider the higher order anomalous dimensions �of purely gluonic operators Tr�where�is a component of the self-dual field strength. We propose compact closed expressions depending parametrically on that reproduce the prediction of Bethe Ansatz equations up to five loop order, including transcendental dressing corrections. The size dependence follows a simple pattern as the perturbative order is increased and suggests hidden relations for these special operators. Contents
On String S-matrix, Bound States and TBA
, 2007
"... The study of finite J effects for the light-cone AdS5 × S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by the double Wick rotation. The S-matrices describing t ..."
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Cited by 6 (0 self)
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The study of finite J effects for the light-cone AdS5 × S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by the double Wick rotation. The S-matrices describing the scattering of physical excitations in the string and mirror models are related to each other by an analytic continuation. We show that the unitarity requirement for the mirror S-matrix fixes the S-matrices of both theories essentially uniquely. The resulting string S-matrix S(z1, z2) satisfies the generalized unitarity condition and, up to a scalar factor, is a meromorphic function on the elliptic curve associated to each variable z. The double Wick rotation is then accomplished by shifting the variables z by quarter of the imaginary period of the torus. We discuss the apparent bound states of the string and mirror models, and show that depending on a choice of the physical region there are one, two or 2M−1 solutions of the M-particle bound state equations sharing the same conserved charges. For very large but finite values of J, most of these solutions, however, exhibit various signs of pathological behavior. In particular, they
Finite-size Effects for Single Spike
- JHEP
, 2008
"... We use the reduction of the string dynamics on Rt × S 3 to the Neumann-Rosochatius integrable system to map all string solutions described by this dynamical system onto solutions of the complex sine-Gordon integrable model. This mapping relates the parameters in the solutions on both sides of the co ..."
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Cited by 6 (2 self)
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We use the reduction of the string dynamics on Rt × S 3 to the Neumann-Rosochatius integrable system to map all string solutions described by this dynamical system onto solutions of the complex sine-Gordon integrable model. This mapping relates the parameters in the solutions on both sides of the correspondence. In the framework of this approach, we find finite-size string solutions, their images in the (complex) sine-Gordon system, and the leading finite-size effects of the single spike “E − ∆ϕ ” relation for both Rt × S 2 and Rt × S 3 cases. On leave from Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences,
