Bound states and solitons in the Gross-Neveu model. [Hartree approximation, orbitals, vacuum fluctuations, many-body picture, amplitudes]

Journal Article · Thu Jul 15 00:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.558· OSTI ID:7341063

Klein, A

The results for the spectrum of bound states and of solitons first deduced by Dashen, Hasslacher, and Neveu for a model of interacting fermions by techniques of functional integration are obtained here by methods based on Heisenberg field mechanics analogous to those applied previously to models of self-interacting bosons. The method of solution is suggested by a simplified physical picture of the bound states: These are computed in a Hartree approximation in which the self-consistent potential is a sum of contributions from the fermions (and antifermions) occupying orbitals in the conventional many-body picture and from the vacuum fluctuations of single-closed-loop type. In the same approximation the self-consistent field generated by the heavy soliton is a result of the vacuum fluctuations alone. As the main new technical contribution, we deduce and solve directly equations determining the self-consistent fields as well as the amplitudes (''wave functions'') from which these are constructed. We comment on the degeneracy of the heavy soliton state. (AIP)

• Research Organization: Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 01239
• OSTI ID: 7341063
• Journal Information: Phys. Rev., D; (United States), Vol. 14:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
BOUND STATE
SOLITONS
DIRAC EQUATION
FERMIONS
HAMILTONIAN FUNCTION
HARTREE-FOCK METHOD
LORENTZ TRANSFORMATIONS
MANY-BODY PROBLEM
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
QUASI PARTICLES
TRANSFORMATIONS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory