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Stationary phase approximation and quantum soliton families
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terms of shape variables and is used to generate an energy surface. The global minimum of the energy surface determines an equilibrium condensate which serves as the, basis for an exact separation of the Hamiltonian into intrinsic and collective parts. A Bogoliubov treatment of the intrinsic part produces, in leading order, the normal modes of vibration and their frequencies, the collective degrees of freedom being represented by zero-frequency Goldstone modes associated with spontaneous symmetry breaking in the condensate. The method is very useful in interpreting numerical results of the algebraic model, in identifying the capabilities and inadequacies of the Hamiltonian, and in constructing appropriate algebraic Hamiltonians for specific molecules.
Conformal Deformation Berkeley Laboratory 94720.
by the Currents of Affine g. J. K. FREERICKS AND M. B. HALPERN. and Department of Physics, University of California, Berkeley,
Lawrence
California
We develop a quasi-systematic approach to continuous parameters in conformal and superconformal field theory. The formulation unifies continuous twists, ghosts, and mechanisms of spontaneous breakdown in a general hierarchy of conformal deformations about a given theory by its own currents. Highlights include continuously twisted Sugawara and coset constructions, generalized ghosts, classes of N= 1 and 2 superconformal field theories with continuous central charge, vertex-operators for arbitrarily deformed lattices, operator-valued conformal weights and/or central charges, and generalizations of continuous SO( p. 4) families of conformal field theories.
Stationary Phase Approximation and Quantum Soliton Families. JUAN MATEOS GUILARTE. Departamento de Fisica, Facultad de Ciencias, Universidad de Salamanca, Salamanca 37008, Spain. It is shown that solitons in the anisotropic A(# * 4): model correspond to critical behaviour in a related dynamical system: they are present in the separatrix dividing the phase space of a completely integrable system into parts of bound and unbound motion. The topology of the configuration space is fully described in terms of the topology of the space of paths in S*, whose geodesics with fixed endpoints give rise to the same Morse series as the family of solitons of the model, according to their asymptotic behaviour. When computed by the Stationary Phase Approximation to the Functional Integral, quantum observables, such as energy and wavefunctionals, of quantum states corresponding to the different kinds of solitons exhibit properties which are directly related to the topological structure previously discovered. Using an appropriate coordinate system the model is equivalent to one with two nearly independent fields; once a ground state has been chosen the second field behaves exactly as though it were governed by the sine-Gordon Lagrangian. It is thus discovered that the model contains timedependent solutions which are multisoliton scattering states.
OF PAPERS
TO APPEAR
IN
FUTURE
503
ISSUES
terms of shape variables and is used to generate an energy surface. The global minimum of the energy surface determines an equilibrium condensate which serves as the, basis for an exact separation of the Hamiltonian into intrinsic and collective parts. A Bogoliubov treatment of the intrinsic part produces, in leading order, the normal modes of vibration and their frequencies, the collective degrees of freedom being represented by zero-frequency Goldstone modes associated with spontaneous symmetry breaking in the condensate. The method is very useful in interpreting numerical results of the algebraic model, in identifying the capabilities and inadequacies of the Hamiltonian, and in constructing appropriate algebraic Hamiltonians for specific molecules.
Conformal Deformation Berkeley Laboratory 94720.
by the Currents of Affine g. J. K. FREERICKS AND M. B. HALPERN. and Department of Physics, University of California, Berkeley,
Lawrence
California
We develop a quasi-systematic approach to continuous parameters in conformal and superconformal field theory. The formulation unifies continuous twists, ghosts, and mechanisms of spontaneous breakdown in a general hierarchy of conformal deformations about a given theory by its own currents. Highlights include continuously twisted Sugawara and coset constructions, generalized ghosts, classes of N= 1 and 2 superconformal field theories with continuous central charge, vertex-operators for arbitrarily deformed lattices, operator-valued conformal weights and/or central charges, and generalizations of continuous SO( p. 4) families of conformal field theories.
Stationary Phase Approximation and Quantum Soliton Families. JUAN MATEOS GUILARTE. Departamento de Fisica, Facultad de Ciencias, Universidad de Salamanca, Salamanca 37008, Spain. It is shown that solitons in the anisotropic A(# * 4): model correspond to critical behaviour in a related dynamical system: they are present in the separatrix dividing the phase space of a completely integrable system into parts of bound and unbound motion. The topology of the configuration space is fully described in terms of the topology of the space of paths in S*, whose geodesics with fixed endpoints give rise to the same Morse series as the family of solitons of the model, according to their asymptotic behaviour. When computed by the Stationary Phase Approximation to the Functional Integral, quantum observables, such as energy and wavefunctionals, of quantum states corresponding to the different kinds of solitons exhibit properties which are directly related to the topological structure previously discovered. Using an appropriate coordinate system the model is equivalent to one with two nearly independent fields; once a ground state has been chosen the second field behaves exactly as though it were governed by the sine-Gordon Lagrangian. It is thus discovered that the model contains timedependent solutions which are multisoliton scattering states.