Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study

Abstract

We analyze quantum corrections to rigid spinning strings in AdS(5)xS(5). The one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz. Expanding the summands of the string theory energy shift in the parameter λ/J^2 and subsequently resumming them yields a divergent result. However, upon zeta-function regularization this result agrees with the Bethe ansatz at the first three orders. We also perform an analogous computation in the limit of large winding number, which results in a disagreement with the string Bethe ansatz prediction. A similar mismatch is observed numerically. We comment on the possible origin of this discrepancy.

33 pages, 9 figures

References in corpus (37)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• The Factorized S-Matrix of CFT/AdS
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Spinning strings and AdS/CFT duality
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• Algebraic Curve for the SO(6) sector of AdS/CFT
• Classical/quantum integrability in non-compact sector of AdS/CFT
• 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
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Spinning strings in AdS_5 x S^5: one-loop correction to energy in SL(2) sector
• Structure constants of planar N =4 Yang Mills at one loop
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Semiclassical Bethe Ansatz and AdS/CFT
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Spin chain sigma models with fermions
• BRST Cohomology and Nonlocal Conserved Charges
• Splitting spinning strings in AdS/CFT
• Higher-Loop Integrability in N=4 Gauge Theory
• Bethe ansatz and fluctuations in SU(3) Yang-Mills operators
• Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
• Fluctuations and Energy Shifts in the Bethe Ansatz
• Quantum string integrability and AdS/CFT
• On the exact open-closed vertex in plane-wave light-cone string field theory
• Spin Chain for Quantum Strings
• The SU(2) sector in AdS/CFT
• Rational three-spin string duals and non-anomalous finite size effects
• Splitting strings and chains
• Quantum fluctuations of rotating strings in AdS_5 x S^5

Cited by in corpus (79)

• Transcendentality and Crossing
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Foundations of the AdS_5 x S^5 Superstring. Part I
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Wrapping interactions and a new source of corrections to the spin-chain/string duality
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• 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
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• 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
• Green-Schwarz Strings in TsT-transformed backgrounds
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Infinite spin limit of semiclassical string states
• Integrability and Transcendentality
• Complete 1-loop test of AdS/CFT
• A Universality Test of the Quantum String Bethe Ansatz
• Stringy sums and corrections to the quantum string Bethe ansatz
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Exact expressions for quantum corrections to spinning strings
• How Accurate is the Quantum String Bethe Ansatz?
• The magnon kinematics of the AdS/CFT correspondence
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Y-system and Quasi-Classical Strings
• Constructing the AdS/CFT dressing factor
• Strings as Multi-Particle States of Quantum Sigma-Models
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Classical r-matrix of the su(2|2) SYM spin-chain
• 1/J corrections to semiclassical AdS/CFT states from quantum Landau-Lifshitz model
• A Secret Symmetry of the AdS/CFT S-matrix
• Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R
• Double Scaling and Finite Size Corrections in sl(2) Spin Chain
• A Yangian Double for the AdS/CFT Classical r-matrix
• Integrable twists in AdS/CFT
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Interacting finite-size magnons
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT
• Quantum Stability for the Heisenberg Ferromagnet
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Quantum Scattering of Giant Magnons
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Slow-string limit and "antiferromagnetic" state in AdS/CFT
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Non-perturbative renormalisation of Delta F=2 four-fermion operators in two-flavour QCD
• Sigma model from SU(1,1|2) spin chain
• On highest-energy state in the su(1|1) sector of N=4 super Yang-Mills theory
• Aspects of Integrability in AdS/CFT Duality
• On the Fermionic Frequencies of Circular Strings
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Structure of the string R-matrix
• Integrable Spin Chains on the Conformal Moose
• Finite-size corrections to the rotating string and the winding state
• Bethe Ansatz solutions for highest states in $\mathcal{N}=4$ SYM and AdS/CFT duality
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Sugawara form for AdS superstring
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies
• Strong coupling anomalous dimensions of $\mathcal{N}=4$ super Yang-Mills
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Large-Spin Expansions of GKP Strings
• Matrix Models, Complex Geometry and Integrable Systems. II
• Integrability treatment of AdS/CFT orbifolds
• Highest states in light-cone $Ad{S}_5\times S^5$ superstring
• Analytic Bethe Ansatz Solutions for Highest States in the su(1|1) and su(2) Sectors
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes