Exact expressions for quantum corrections to spinning strings

Abstract

The one-loop worldsheet quantum corrections to the energy of spinning strings on R x S^3 within AdS_5 x S^5 are reexamined. The explicit expansion in the effective 't Hooft coupling λ'= λ/J^2 is rigorously derived. The expansion contains both analytic and non-analytic terms in λ', as well as exponential corrections. Furthermore, we pin down the origin of the terms that are not captured by the quantum string Bethe ansatz, which only produces analytic terms in λ'. It is shown that the analytic terms arise from string fluctuations within the S^3, whereas the non-analytic and exponential terms, which are not captured by the Bethe ansatz, originate from the fluctuations in all directions within the supersymmetric sigma model on AdS_5 x S^5. We also comment on the case of spinning string in AdS_3 x S^1.

12 pages, 1 figure

References in corpus (29)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• The N=4 SYM Integrable Super Spin Chain
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• Multi-spin string solutions in AdS_5 x S^5
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Factorized S-Matrix of CFT/AdS
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Quantizing three-spin string solution in AdS_5 x S^5
• On Quantum Corrections to Spinning Strings and Bethe Equations
• Planar N=4 Gauge Theory and the Hubbard Model
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Matching quantum strings to quantum spins: one-loop vs. finite-size corrections
• The Algebraic Curve of 1-loop Planar N=4 SYM
• On one-loop correction to energy of spinning strings in S^5
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Stringy sums and corrections to the quantum string Bethe ansatz
• Semiclassical Bethe Ansatz and AdS/CFT
• Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• 1/J^2 corrections to BMN energies from the quantum long range Landau-Lifshitz model
• On the plane-wave cubic vertex
• On the exact open-closed vertex in plane-wave light-cone string field theory
• The SU(2) sector in AdS/CFT

Cited by in corpus (58)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• On String S-matrix, Bound States and TBA
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• On AdS_5 x S^5 String S-matrix
• Wrapping interactions at strong coupling -- the giant magnon
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Complete 1-loop test of AdS/CFT
• A Universality Test of the Quantum String Bethe Ansatz
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• How Accurate is the Quantum String Bethe Ansatz?
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Y-system and Quasi-Classical Strings
• Finite-Size Effects for Dyonic Giant Magnons
• Quantum Wrapped Giant Magnon
• Constructing the AdS/CFT dressing factor
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• A new derivation of Luscher F-term and fluctuations around the giant magnon
• Macroscopic (and Microscopic) Massless Modes
• Finite-Size Effects for Multi-Magnon States
• Single impurity operators at critical wrapping order in the beta-deformed N=4 SYM
• Quantum Stability for the Heisenberg Ferromagnet
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Quantum Scattering of Giant Magnons
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Aspects of Integrability in AdS/CFT Duality
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• On the Fermionic Frequencies of Circular Strings
• Toy models for wrapping effects
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• More about "short" spinning quantum strings
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Large-Spin Expansions of GKP Strings
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Wrapping effects in supersymmetric gauge theories
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes