High Energy and Elementary Particles Physics



Valentin A. Franke

The scientific interests of V. A. Franke lie in the field of elementary particle theory. About 20 years he works on solving quantum field equations on Light Front coordinates for strong interactions models. This activity has started in the Department of Theoretical Physics under leadership of Prof. Yu. V. Novozhilov. Now the group consisting of V. A. Franke, E. V. Prokhvatilov and S. A. Paston continues this work. The field of scientific interests of V. A. Franke includes also gravity theory and cosmology, string theory, and foundations of quantum mechanics. He has publications in these areas. V. A. Franke delivers following lectures for students of Physical Faculty: "Cosmology and Elementary Particles Physics", "Quantum gravity and string theory".

Selected Publications

On the construction of Generalized Dual Models in the Absence or Presence of the Virasoro symmetry. Composite Dual Models, Kiev 1971, p. 58-94 (with M. V. Loktionov and M. M. Nesterov) Investigation of a dual fermionic model. Yad. Fiz. 1972, V. 16, p. 769-777 (with S. N. Manida) About a construction of tensor analysis in 2n-dimensional space, wich has local properties defined by SL(n,C) group. Problems of Theoretical Physics, Leningrad 1976, V. 24, p. 105-118 About a general form of dynamical transformation of statistical operators. Teor.Mat.Fiz 1976, V. 27, p. 172-183 About stability of string like solitons in classical gauge field theories. Teor.Mat.Fiz 1977, V. 31, p. 300-307 (with E. V. Prokhvatilov) An axiomatic scheme more general than Quantum Theory. Reports on Math. Phys., 1980, v. 18, N 3, p. 411-431 The method of Light Front coordinates in quantum gauge field theories. Problems of Theoretical Physics III, Leningrad 1988, p. 5-21 (with Yu. V. Novozhilov and E. V. Prokhvatilov) The ADM Lagrangian in extrinsic gravity. Nuovo Cimento, Ser. B, 1992, v.107, N 6, p. 611-630 (with V. Tapia) Calculation of meson masses using the quantization on the Light front. Yad. Fiz. 1993, V. 56, p. 179-200 (with A. M. Annekova and E. V. Prokhvatilov) The limiting transition to the Light Front coordinates in field theory. Yad. Fiz. 1996, V. 59, p. 2105-2112 (with E. V. Prokhvatilov) Constructing the light-front QCD Hamiltonian. Teor. Mat. Fiz. 1999, V. 120, p. 417-437 (with S. A. Paston and E. V. Prokhvatilov) On the Light-Cone Formulation of Classical Non-Abelian Gauge Theory. Letters in Math. Physics, 1981, v.5, p. 239-245 (with Yu. V. Novozhilov and E. V. Prokhvatilov) On the Light-Cone Quantization of Non-abelian Gauge Theory. Letters in Math. Physics, 1981, v.5, p. 437-444 (with Yu. V. Novozhilov and E. V. Prokhvatilov) The limiting transition to the Light Front coordinates in field theory and the QCD - Hamiltonian. Yad. Fiz. 1989, V. 49 p. 1109-1117 (with E. V. Prokhvatilov) Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates. Yad. Fiz. 2005, V. 68, p. 292-303 (with S. A. Paston and E. V. Prokhvatilov) Quantization of Field Theory on the Light Front. preprint hep-th/0404031 (with S. A. Paston and E. V. Prokhvatilov)

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May 2005