Integrability in heavy quark effective theory View Full Text


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Article Info

DATE

2018-06

AUTHORS

Vladimir M. Braun, Yao Ji, Alexander N. Manashov

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. More... »

PAGES

17

References to SciGraph publications

  • 2012-01. Review of AdS/CFT Integrability: An Overview in LETTERS IN MATHEMATICAL PHYSICS
  • 2013-02. Light-cone distribution amplitudes of the ground state bottom baryons in HQET in THE EUROPEAN PHYSICAL JOURNAL C
  • 2008-01-29. Large spin expansion of the long-range Baxter equation in the 𝔰𝔩(2) sector of 𝒩 = 4 SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-05. Factorization of the R-matrix and Baxter’s Q-operator in JOURNAL OF MATHEMATICAL SCIENCES
  • 1981-09. Yang-Baxter equation and representation theory: I in LETTERS IN MATHEMATICAL PHYSICS
  • 2003-03-06. The Bethe-ansatz for 𝒩 = 4 super Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-05. Higher-twist B-meson distribution amplitudes in HQET in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-10. Renormalisation of heavy-light light ray operators in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-07-21. Separation of variables for the quantum SL(2,ℝ) spin chain in JOURNAL OF HIGH ENERGY PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    6

    VOLUME

    2018

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep06(2018)017

    DOI

    http://dx.doi.org/10.1007/jhep06(2018)017

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1104410256


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