In relativistic mean field theory,i found antiparticle effect have to be calculated in lagrangian formalism for T is not equal to 0, i need explanation about contribution of fermi energy too. Thank you
The mechanism of pair production is presented in the paper " Mechanism of pair production in classical dynamics". The paper is submitted to Int.J. Mod. Phys. It can be found on my site http;//gasdyn-ipm.ipmnet.ru/~rylov/mppcd.htm. The temperature has no relation to the pair production effect.
Dear Martin, I have looked at the abstract of the paper, that you referred. I do not see a neccesity to teach very complicated mechanism of pair production, connected with quark-gluon plasma, if there is a simple mechanism, which does not refer to dubious complicated phenomena.
The quantum theory is an axiomatic conception as well as thermodynamics. Some effects cannot be explained in terms of thermodynamics. It is possible only in the framework of statistical physics, which forms a foundation of thermodynamics. The same situation with QM. The quantum theory cannot describe rearrangement of elementary particles. It enables only to describe quantum numbers to each elementary particle. It reminds situation with chemical elements. The periodical system can ascribe “quantum” numbers (atomic weight, valency, …) to each chemical element, but it cannot explain rearrangement of the atom. In a like way quarks are not particles, because they cannot extracted from a hadron. Quarks are elements of the hadron structure, but the quantum theory cannot describe this. Foundation of QM as a classical dynamics of stochastic particles admits one to investigate the elementary particle arrangement. In particular the Dirac equation, considered from the view point of this foundation admits one to show that the world line of the Dirac particle is a helix. See for details "Dirac equation in terms of hydrodynamic variables" (Advances in Applied Clifford Algebras, 5, pp 1-40, (1995)) Available at http://arXiv.org/abs/1101.5868 . Some information on more complete theory of elementary particles can be found in "Discrete space-time geometry and skeleton conception of particle dynamics" International Journal of Theoretical Physics. Volume 51, Issue 6 (2012), Page 1847-1865, DOI: 10.1007/s10773-011-1061-y Available at http://arXiv.org/abs/1110.3399v1