40 years in mathematical physics by Faddeev L.D.

By Faddeev L.D.

The behaviour of the analytic components on an infraconnected set D in okay an algebraically closed entire ultrametric box is especially defined by means of the round filters and the monotonous filters on D, in particular the T-filters: zeros of the weather, Mittag-Leffler sequence, factorization, Motzkin factorization, greatest precept, injectivity, algebraic homes of the algebra of the analytic parts on D, difficulties of analytic extension. this is often utilized to the differential equation y'=hy (y,h analytic components on D), analytic interpolation, p-adic workforce duality on meromorphic items and to the p-adic Fourier rework 1. 30 Years in Mathematical Physics -- 2. Perturbation conception for Gauge-Invariant Fields / V.N. Popov and L. Faddev -- three. The Feynman crucial for Singular Lagrangians -- four. Covariant Quantization of the Gravitational box / V.N. Popov and L. Faddev -- five. creation to useful tools -- 6. Inverse challenge of Quantum Scattering concept. II -- 7. Quantum thoroughly Integrable versions in box concept -- eight. The Quantum approach to the Inverse challenge and the Heisenberg XYZ version / L.A. Takhtadzhan and L. Faddev -- nine. Integrable versions in (1+1)-Dimensional Quantum box idea -- 10. From Integrable versions to Conformal box concept through Quantum teams -- eleven. the quest for Multidimensional Solitons -- 12. Hamiltonian method of the idea of Anomalies -- thirteen. The power challenge in Einstein's thought of Gravitation -- 14. Lagrangian Mechanics in Invariant shape / A.M. Vershik and L. Faddev

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20 (1974), 430-433; English transl. in JETP Letters 20 (1974). 40. D. R. Yafaev, On the singular spectrum in a three-particle system, Mat. Sb. 106 (148) (1978), 622-640; English transl. in Math. USSR Sb. 35 (1979), no. 2. 41. V. A. , Birkhauser, 1986. 42. P. Deift and E. Trubowitz, Inverse scattering on the line, Comm. Pure Appl. Math. 32 (1979), 121-251. 43. Roger F. Dashen, Brosl Hasslacher, and Andre Neveu, Particle spectrum in model field theories from semidlassical functional integral techniques, Phys.

In Theoret. and Math. Phys. 10 (1972). 35. A. M. Polyakov, Interaction of Goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields, Phys. Lett. B 59 (1975), 79-81. 36. A. A. Migdal, Phase transitions in gauge and spin-lattice systems, Zh. Eksper. Teoret. Fiz. 69 (1975), 1457-1465; English transl. in Soviet Phys. J E T P 42 (1975). 37. V. E. Zakharov and A. V. MikhaTlov, Relativistically invariant two-dimensional field theory models that are integrable by the inverse scattering probllm method, Zh.

You cannot help asking yourself what led you astray, what kind of blinders obscured your imagination. Such speculations could be useful for future scientific activities. In my life the role of the blinders has been played in the most dramatic cases by my hostility toward spontaneous breakdown of symmetry. Recently with Polyakov I came to see clearly how the education in statistical physics he got in his youth helped him to work in quantum field theory. The situation was not good with statistical physics in the physics department of Leningrad State University during my student days, and as a result the subject invariably evoked a negative emotion in me (something similar is surely true of Arnol'd with regard to quantum theory).

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