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A theorem on the existence of dyon solutions
ANNALS
OF PHYSICS
131, ‘%-J%% (1981)
Abstracts
of Papers
to Appear
in Future
Issues
A Theorem on the Existence of Dyon Solutions. M. SCHECHTER,Yeshiva University; AND Institute de Investigaciones en Matematicas Aplicadas y en Sistemas. Universidad Autanoma de Mexico. Apartado Postal 20-726, Mexico 20, D.F.
R.
WEDER,
National
We prove the existence of finite energy dyon solutions to Yang-Mills-Higgs equations satisfying the Julia-Zee Ansatz, and the generalization to SU(N) gauge groups. This rigorously establishes the existence of a model for the particles having electric and magnetic charge conjectured by Schwinger. We also prove that the solutions are real analytic on (0, a)) and Cm at r = 0. To establish our result we prove a new abstract theorem that allows us to study singular constrained minimization problems without the introduction of Lagrange multipliers. of the Six-Quark Model. BRADLEY D. GAISER, Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305; AND THOMAS TSAO AND MARK B. WISE, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305.
Parameters
The restrictions imposed on the parameters of the six-quark model by the neutral kaon system are discussed with QCD effects included in the leading logarithmic approximation. The dependence on the six-quark model parameters of the sign and magnitude of the CP violation parameter E’, the b-quark lifetime and the ratio of decay widths r(b --f uX)/r(b --f cX) are also discussed. Monopoles and Their Symmetries. N. S. MANTON. Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139. Properties of spherically symmetric monopoles sidered.
are discussed. Inversion symmetry is also con-
Underlying Structure of Singular Perturbations on Manifolds. RONALD Astrophysical Observatory, Cambridge, Massachusetts 02138.
E. KATES. Harvard-Smithsonian
A perturbation problem is singular when the straightforward expansion in powers of a small parameter fails to describe the exact solution qualitatively in some region of interest. I formulate singular perturbations on manifolds in a coordinate-free way suitable for treatingproblems in general relativity and other field theories. I define uniformity as the ideal sought. Uniformity leads to internal criteria, such as matching, for validity. Subsequent papers will apply this formalism to (1) the problem of motion in general relativity (and other theories), (2) problems in which the causal structure or topology change qualitatively as the result of an apparently small perturbation, and (3) generalization of some conventional singular perturbation methods and potential improvements in their reliability. Two-Dimensional Gauge Theories with Diagonal SU(iV) Color. PAUL J. STEINHARDT. ory of Physics, Harvard University, Cambridge, Massachusetts 02138.
Lyman Laborat-
Two-dimensional gauge theories with diagonal SU(iV) color symmetry are analyzed in the limit of strong coupling using bosonization techniques. A spectrum of heavy mesons is found in addition to a spectrum of light baryon and baryonium states. Exotic behavior is also found for various values of the (6$) parameters.
494 Copyright AU rights
Q 1981 by Academic Press, Inc. of reproduction in any form reserved.
OF PHYSICS
131, ‘%-J%% (1981)
Abstracts
of Papers
to Appear
in Future
Issues
A Theorem on the Existence of Dyon Solutions. M. SCHECHTER,Yeshiva University; AND Institute de Investigaciones en Matematicas Aplicadas y en Sistemas. Universidad Autanoma de Mexico. Apartado Postal 20-726, Mexico 20, D.F.
R.
WEDER,
National
We prove the existence of finite energy dyon solutions to Yang-Mills-Higgs equations satisfying the Julia-Zee Ansatz, and the generalization to SU(N) gauge groups. This rigorously establishes the existence of a model for the particles having electric and magnetic charge conjectured by Schwinger. We also prove that the solutions are real analytic on (0, a)) and Cm at r = 0. To establish our result we prove a new abstract theorem that allows us to study singular constrained minimization problems without the introduction of Lagrange multipliers. of the Six-Quark Model. BRADLEY D. GAISER, Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305; AND THOMAS TSAO AND MARK B. WISE, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305.
Parameters
The restrictions imposed on the parameters of the six-quark model by the neutral kaon system are discussed with QCD effects included in the leading logarithmic approximation. The dependence on the six-quark model parameters of the sign and magnitude of the CP violation parameter E’, the b-quark lifetime and the ratio of decay widths r(b --f uX)/r(b --f cX) are also discussed. Monopoles and Their Symmetries. N. S. MANTON. Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139. Properties of spherically symmetric monopoles sidered.
are discussed. Inversion symmetry is also con-
Underlying Structure of Singular Perturbations on Manifolds. RONALD Astrophysical Observatory, Cambridge, Massachusetts 02138.
E. KATES. Harvard-Smithsonian
A perturbation problem is singular when the straightforward expansion in powers of a small parameter fails to describe the exact solution qualitatively in some region of interest. I formulate singular perturbations on manifolds in a coordinate-free way suitable for treatingproblems in general relativity and other field theories. I define uniformity as the ideal sought. Uniformity leads to internal criteria, such as matching, for validity. Subsequent papers will apply this formalism to (1) the problem of motion in general relativity (and other theories), (2) problems in which the causal structure or topology change qualitatively as the result of an apparently small perturbation, and (3) generalization of some conventional singular perturbation methods and potential improvements in their reliability. Two-Dimensional Gauge Theories with Diagonal SU(iV) Color. PAUL J. STEINHARDT. ory of Physics, Harvard University, Cambridge, Massachusetts 02138.
Lyman Laborat-
Two-dimensional gauge theories with diagonal SU(iV) color symmetry are analyzed in the limit of strong coupling using bosonization techniques. A spectrum of heavy mesons is found in addition to a spectrum of light baryon and baryonium states. Exotic behavior is also found for various values of the (6$) parameters.
494 Copyright AU rights
Q 1981 by Academic Press, Inc. of reproduction in any form reserved.