24 research outputs found
Generalized Levy-Leblond equation with external potentials and effects of rest energy for non-relativistic Fermi fields
The generalized Levy-Leblond equation (GLL) is used to study the bound state
problem for a non-relativistic Fermi field in pseudoscalar external potentials.
Two spherically symmetrical external potentials, a pseudoscalar spherical well
of finite depth and a pseudoscalar Coulomb potential, are considered. It is
shown that the rest energy of the Fermi field affects non-trivially the bound
state spectrum. The existence of bound states, their number and energies all
depend on the value of the rest energy.Comment: References added, minor changes in Introduction, LaTex file, 32
pages, 6 figure
Non-Markovian source term for particle production by a self-interacting scalar field in the large-N approximation
The particle production in the self-interacting N-component complex scalar
field theory is studied at large N. A non-Markovian source term that includes
all higher order back-reaction and collision effects is derived. The kinetic
amplitudes accounting for the change in the particle number density caused by
collisions are obtained. It is shown that the production of particles is
symmetric in the momentum space. The problem of renormalization is briefly
discussed.Comment: minor changes, journal versio
Non-relativistic Fermi particle in one-dimensional pseudoscalar -function potential
It is shown that a non-relativistic Fermi particle with a non-zero rest
energy moving in a pseudoscalar -function potential in one dimension
can be confined for both signs of the coupling constant. The binding energies
depend on the value of the particle's rest energy, and in the limit of
vanishing rest energy only one of the bound states survives. The coefficients
of reflection and transmission are determined, and the conditions for complete
reflection and transmission are discussed.Comment: Minor changes in Discussion, LaTex file, 10 page
Poincare Algebra in Chiral QCD_2
For the chiral QCD_2 on a cylinder, we give a construction of a quantum
theory consistent with anomaly. We construct the algebra of the Poincare
generators and show that it differs from the Poincare one.Comment: LATEX file, 10 p
Berry phase in generalized chiral
We consider the generalized chiral on with a gauge field
coupled with different charges to both chiral components of a fermionic field.
Using the adiabatic approximation we calculate the Berry phase and the
corresponding connection and curvature for the vacuum and many
particle Fock states. We show that the nonvanishing vacuum Berry phase is
associated with a projective representation of the local gauge symmetry group
and contributes to the effective action of the model.Comment: LATEX file, 17 pages; extended version of a talk given at Int.
Colloquium on Group-Theoretical Methods in Physics, 15-20 July, 1996, Goslar,
German
Generalised chiral QED2 : Anomaly and Exotic Statistics
We study the influence of the anomaly on the physical quantum picture of the
generalized chiral Schwinger model defined on the circle. We show that the
anomaly i) results in the background linearly rising electric field and ii)
makes the spectrum of the physical Hamiltonian nonrelativistic without a
massive boson. The physical matter fields acquire exotic statistics . We
construct explicitly the algebra of the Poincare generators and show that it
differs from the Poincare one. We exhibit the role of the vacuum Berry phase in
the failure of the Poincare algebra to close. We prove that, in spite of the
background electric field, such phenomenon as the total screening of external
charges characteristic for the standard Schwinger model takes place in the
generalized chiral Schwinger model, too.Comment: LATEX file, 36 pp., to appear in Phys.Rev.