Integrability in heavy quark effective theory

Braun, Vladimir M. and Ji, Yao and Manashov, Alexander N. (2018) Integrability in heavy quark effective theory. JOURNAL OF HIGH ENERGY PHYSICS (6): 017. ISSN 1029-8479,

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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.

Item Type: Article
Uncontrolled Keywords: HIGH-ENERGY QCD; EVOLUTION-EQUATIONS; DISTRIBUTION AMPLITUDES; CONFORMAL SYMMETRY; MULTICOLOR QCD; Q-OPERATOR; RENORMALIZATION; BARYON; REPRESENTATION; DISTRIBUTIONS; Lattice Integrable Models; Renormalization Group; Effective Field Theories
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 09 Mar 2020 10:25
Last Modified: 09 Mar 2020 10:25
URI: https://pred.uni-regensburg.de/id/eprint/14422

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