QCD inspired relativistic effective Hamiltonian model for mesons
نویسندگان
چکیده
منابع مشابه
Masses of the physical mesons from an effective QCD–Hamiltonian
The front form Hamiltonian for quantum chromodynamics, reduced to an effective Hamiltonian acting only in the qq̄ space, is solved approximately. After coordinate transformation to usual momentum space and Fourier transformation to configuration space a second order differential equation is derived. This retarded Schrödinger equation is solved by variational methods and semi-analytical expressio...
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We apply the subtraction method to an effective QCD-inspired model, which includes the Coulomb plus a zerorange hyperfine interactions, to define a renormalized Hamiltonian for mesons. The spectrum of the renormalized Hamiltonian agrees with the one obtained with a smeared hyperfine interaction. The masses of the low-lying pseudo scalar and vector mesons are reasonably described within the model.
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The renormalization of the effective QCD-Hamiltonian theory for the quarkantiquark channel is performed in terms of a renormalized or fixed-point Hamiltonian that leads to subtracted dynamical equations. The fixed pointHamiltonian brings the renormalization conditions as well as the counterterms that render the theory finite. The approach is renormalization group invariant. The parameters of th...
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The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the conventional ideas: The Hamiltonian is first regulated by suitable cut-off functions, and subsequently renormalized by suitable counter terms to make it cut-o...
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The effective QCD-interaction as obtained from the front form Hamiltonian by DLCQ is Fourier transformed on the Retarded Schrödinger Equation for to describe the constituents of physical mesons. The crucial point is the use of a running coupling constant αs(Q ), in a manner similar but not equal to the one of Richardson in the equal usual-time quantization. Fixing the running coupling constant ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2011
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2011.01.001