Academic Journal
HD-TVP-9702 Derivation of transport equations for a strongly interacting Lagrangian in powers of ¯h and 1/Nc. ∗
| العنوان: | HD-TVP-9702 Derivation of transport equations for a strongly interacting Lagrangian in powers of ¯h and 1/Nc. ∗ |
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| المؤلفون: | S. P. Klevansky, A. Ogura, J. Hüfner |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/hep-ph/9708263v1.pdf. |
| سنة النشر: | 1997 |
| المجموعة: | CiteSeerX |
| الوصف: | 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, 1/Nc, due to the nature of the strong coupling theory, and a semiclassical expansion, in powers of ¯h. 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, O((1/Nc) 0), the Vlasov equation is recovered to O(¯h 1), together with an on-mass shell constraint equation, that is automatically fulfilled by the quasiparticle ansatz. The expressions for the self-energy to order O((1/Nc)) 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 s, t and u 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 ¯h, a Boltzmannlike form for the collision integral is obtained. Dedicated to Professor R.H. Lemmer on the occasion of his 65th birthday |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.343.7999; http://arxiv.org/pdf/hep-ph/9708263v1.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.343.7999 http://arxiv.org/pdf/hep-ph/9708263v1.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.6908B963 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |