Rigorous relativistic equation for quark–antiquark bound states at finite temperature derived from thermal QCD formulated in the coherent-state representation |
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Authors: | Jun-Chen Su |
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Institution: | (1) Department of Physics, Harbin Institute of Technology, Harbin, 150006, P.R. China;(2) Center for Theoretical Physics, School of Physics, Jilin University, Changchun, 130023, P.R. China |
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Abstract: | A rigorous three-dimensional relativistic equation for quark–antiquark bound states at finite temperature is derived from
the thermal QCD generating functional which is formulated in the coherent-state representation. The generating functional
is derived newly and given a correct path-integral expression. The perturbative expansion of the generating functional is
specifically given by means of the stationary-phase method. Especially, the interaction kernel in the three-dimensional equation
is derived by virtue of the equations of motion satisfied by some quark–antiquark Green functions and given a closed form
which is expressed in terms of only a few types of Green functions. This kernel is very suitable to use for exploring the
deconfinement of quarks. To demonstrate the applicability of the equation derived, the one-gluon exchange kernel is derived
and described in detail.
PACS 05.30.-d, 67.40.Db, 11.15.-q, 12.38.-t, 11.10.St. |
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Keywords: | |
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