Derivation of transport equations for a strongly interacting Lagrangian in powers of anti-H and 1 / N(c)
Aug, 199741 pages
Published in:
- Annals Phys. 261 (1997) 37-73
e-Print:
- hep-ph/9708263 [hep-ph]
Report number:
- HD-TVP-97-02
View in:
Citations per year
Abstract:
Transport theory for an interacting fermionic system is reviewed and applied to the chiral Lagrangian of the Nambu-Jona-Lasinio model. Two expansions must be applied: an expansion in the inverse number of colors, , due to the nature of the strong coupling theory, and a semiclassical expansion, in powers of . The quasiparticle approximation is implemented at an early stage, and spin effects are omitted. The self-energy is evaluated, self-consistently only in the Hartree approximation, and semi-perturbatively in the collision integral. In the Hartree approximation, , the Vlasov equation is recovered to , together with an on-mass shell constraint equation, that is automatically fulfilled by the quasiparticle ansatz. The expressions for the self-energy to order lead to the collision term. Here one sees explicitly that particle-antiparticle creation and annihilation processes are suppressed that would otherwise be present, should an off-shell energy spectral function be admitted. A clear identification of the , and channel scattering processes in connection with the self-energy graphs is made and the origin of the mixed terms is made evident. Finally, after ordering according to powers in , a Boltzmann-like form for the collision integral is obtained.Note:
- Dedicated to Professor R.H. Lemmer on the occasion of his 65th birthday
- Jona-Lasinio-Nambu model
- model: chiral
- transport theory
- expansion 1/N
- energy
- Hartree approximation
- approximation: semiclassical
- Feynman graph
References(26)
Figures(0)