https://doi.org/10.1140/epjc/s2006-02588-4
Theoretical Physics
Rigorous relativistic equation for quark–antiquark bound states at finite temperature derived from thermal QCD formulated in the coherent-state representation
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
* e-mail: junchens@email.jlu.edu.cn
Received:
3
October
2005
Revised:
10
November
2005
Published online:
7
July
2006
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.
© Springer-Verlag, 2006
