Published April 1991 | Version v1
Journal article Metadata-only

Solving the Gross-Neveu model with relativistic many-body methods

Creators

  • 1. Erlangen-Nuernberg Univ., Erlangen (Germany, F.R.). Inst. fuer Theoretische Physik 3
  • 2. Vrije Univ., Amsterdam (Netherlands). Fakulteit Natuurkunde en Sterrenkunde

Description

The Gross-Neveu model provides a unique opportunity to apply relativistic many-body techniques (Dirac-Hartree approximation, RPA) in a context where all calculations can be done analytically and - in the large N limit - yield the exact results. The physical fermion as well as multifermion ('baryon') and fermion-antifermion ('meson') bound states are discussed in this spirit, with special emphasis on the role of the Dirac sea. (orig.)

Additional details

Publishing Information

Journal Title
Zeitschrift fuer Physik. A, Hadrons and Nuclei
Journal Volume
338
Journal Issue
4
Series
Z. Phys., A Hadrons Nuclei.
Journal Page Range
441-453
CODEN
ZPAHE

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
22039171
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; ASYMPTOTIC SOLUTIONS; BARYONS; BOUND STATE; DIRAC EQUATION; EIGENFUNCTIONS; EIGENVALUES; FIELD OPERATORS; HAMILTONIANS; HARTREE-FOCK METHOD; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; MANY-BODY PROBLEM; MESONS; NONLINEAR PROBLEMS; PARTICLE STRUCTURE; QUARK MODEL; QUARK-ANTIQUARK INTERACTIONS; QUARK-QUARK INTERACTIONS; QUARKS; RANDOM PHASE APPROXIMATION; RELATIVISTIC RANGE; REST MASS; SCHROEDINGER EQUATION; SELF-CONSISTENT FIELD; SERIES EXPANSION; SPINOR FIELDS; THREE-BODY PROBLEM; TWO-BODY PROBLEM; WAVE FUNCTIONS
Descriptors DEC
BOSONS; COMPOSITE MODELS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ENERGY RANGE; EQUATIONS; FERMIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; HADRONS; INTERACTIONS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; POSTULATED PARTICLES; QUANTUM FIELD THEORY; QUANTUM OPERATORS; WAVE EQUATIONS