Integrability in heavy quark effective theory

Abstract

It was found that renormalization group equations in the heavy-quark effective theory (HQET) for the operators involving one effective heavy quark and light degrees of freedom are completely integrable in some cases and are related to spin chain models with the Hamiltonian commuting with the nondiagonal entry $C(u)$ of the monodromy matrix. In this work we provide a more complete mathematical treatment of such spin chains in the QISM framework. We also discuss the relation of integrable models that appear in the HQET context with the large-spin limit of integrable models in QCD with light quarks. We find that the conserved charges and the "ground state" wave functions in HQET models can be obtained from the light-quark counterparts in a certain scaling limit.

29 Pages, 4 figures

References in corpus (8)

• Logarithmic scaling in gauge/string correspondence
• Higher-twist B-meson Distribution Amplitudes in HQET
• Integrability of scattering amplitudes in N=4 SUSY
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• Distribution Amplitudes of the Lambda_b Baryon in QCD
• Integrability of the evolution equations for heavy-light baryon distribution amplitudes
• Renormalization of twist-four operators in light-cone gauge
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM

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• Non-compact quantum spin chains as integrable stochastic particle processes
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• Revisiting radiative leptonic $B$ decay
• Renormalization of the next-to-leading-power $\gamma \gamma \to h$ and $gg\to h$ soft quark functions
• Separation of Variables for a flux tube with an end
• Scale-dependence of the $B$-meson LCDA beyond leading order from conformal symmetry