Abstract
We derive the chiral effective Lagrangian for heavy-light mesons in the heavy quark limit from QCD under proper approximations. The low energy constants in the effective Lagrangian are expressed in terms of the light quark self-energy. With typical forms of the running coupling constant of QCD and the quark self-energy obtained from Dyson-Schwinger equations as well as lattice QCD, we estimate the low energy constants in the model and the strong decay widths. A comparison with data and some discussions of the numerical results are presented.
Highlights
It is widely accepted that the dynamics of strong interaction at a large distance can be well captured by effective theories which are controlled by certain symmetries and symmetry breaking, for example chiral symmetry breaking, of the fundamental theory of strong interaction—QCD
We should know the light quark self-energy Σð−p2Þ, of which only the information from Dyson-Schwinger equation (DSE) and lattice QCD is available at this moment
Our results directly show how the dynamics of the fundamental theory affects the low energy constants (LECs) of the effective theory
Summary
It is widely accepted that the dynamics of strong interaction at a large distance can be well captured by effective theories which are controlled by certain symmetries and symmetry breaking, for example chiral symmetry breaking, of the fundamental theory of strong interaction—QCD (see, e.g., Ref. [1]). It is widely accepted that the dynamics of strong interaction at a large distance can be well captured by effective theories which are controlled by certain symmetries and symmetry breaking, for example chiral symmetry breaking, of the fundamental theory of strong interaction—QCD Little progress has been made to establish a direct relation between QCD and an effective theory in an analytic way such a relation is very significant since, to our opinion, almost all the puzzles and problems in hadron dynamics in both matter free space and in-medium can be attributed to our poor understanding of the nonperturbative QCD. [2], the authors derived a relation between QCD and chiral perturbation theory (ChPT) including the Nambu-Goldstone bosons, pions, only [3,4,5].
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