Integrability in heavy quark effective theory

  • Vladimir M. Braun
  • Yao Ji
  • Alexander N. Manashov
Open Access
Regular Article - Theoretical Physics


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.


Lattice Integrable Models Renormalization Group Effective Field Theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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© The Author(s) 2018

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikUniversität RegensburgRegensburgGermany
  2. 2.Institut für Theoretische PhysikUniversität HamburgHamburgGermany
  3. 3.St.Petersburg Department of Steklov Mathematical InstituteSt.PetersburgRussia

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