Quantum statistics with internal symmetry

  • We formulate a group-theoretical projection technique for the quantum-statistical description of systems with exactly conserved charges corresponding to local non-Abelian gauge symmetries. The formalism is specified for SU(N) internal symmetry and a partition function related to a mixed canonical–grand-canonical ensemble is defined. Its perturbation expansion is derived, and we point out potential applications. We also study single-particle Green’s functions for the calculation of mixed ensemble averages with the help of a generalized Wick’s theorem and find that a connected-graphs expansion is impossible.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Hans-Thomas ElzeORCiD, Walter GreinerGND
URN:urn:nbn:de:hebis:30-29486
URL:http://link.aps.org/abstract/PRA/v33/p1879
Parent Title (German):Physical review A
Document Type:Article
Language:English
Date of Publication (online):2006/07/04
Year of first Publication:1986
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2006/07/04
Volume:33
Issue:3
Page Number:13
First Page:1879
Last Page:1891
HeBIS-PPN:187372047
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
PACS-Classification:00.00.00 GENERAL / 05.00.00 Statistical physics, thermodynamics, and nonlinear dynamical systems (see also 02.50.-r Probability theory, stochastic processes, and statistics) / 05.30.-d Quantum statistical mechanics (for quantum fluids aspects, see 67.10.Fj) / 05.30.Ch Quantum ensemble theory
00.00.00 GENERAL / 05.00.00 Statistical physics, thermodynamics, and nonlinear dynamical systems (see also 02.50.-r Probability theory, stochastic processes, and statistics) / 05.70.-a Thermodynamics (see also section 64 Equations of state, phase equilibria, and phase transitions, and section 65 Thermal properties of condensed matter; for chemical thermodynamics, see 82.60.-s; for thermodynamics of plasmas, see 52.25.Kn; for thermodynam / 05.70.Ce Thermodynamic functions and equations of state (see also 51.30.+i Thermodynamic properties, equations of state in physics of gases; for equations of state of specific substances, see 64.30.-t; for equations of state of nuclear matter, and of neutron-star
Licence (German):License LogoDeutsches Urheberrecht