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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1975, Volume 136

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International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part II. Fields and Particles. Mathematical Questions of Quant


Collection of talks (Moscow, 12–17 December, 1972)

Preface
V. S. Vladimirov
3

Fields and particles
Application of the Newton–Kantorovich method in elementary particles physics
A. Ts. Amatuni, V. S. Pogosyan, È. V. Sekhposyan
5
Causality of the invariant form factors in the decomposition of the current commutators
P. N. Bogolyubov
15
Low-energy dispersion theories
A. N. Vall, V. V. Serebryakov
34
Scale invariance, elementary particles and high-energy scattering in quantum field theory
I. F. Ginzburg, A. V. Efremov
39
Statistical method in DRM
M. I. Gorenshtein, V. A. Miransky, V. P. Shelest, B. V. Struminskii, G. M. Zinovjev
70
Extension of the $S$-matrix off the mass shell and momentum space of constant curvature
A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kassimov
85
Asymptotic behaviour of the planar one-loop correction to the Regge trajectory in the dual model
H. Dorn, H. J. Kaiser
130
Quasipotential type equations for the relativistic three-particle system
A. N. Kvinikhidze, D. Ts. Stoyanov
145
Study of a model for the interaction of a nonrelativistic particle with a scalar quantized field by the method of functional integration
S. P. Kuleshov, V. A. Matveev, A. N. Sisakyan, M. A. Smondyrev
162
Analyticity in several variables and physical parametric sum rules
N. N. Khuri, G. Auberson
177
On casuality tests for inelastic electron scattering
H. Leutwyler
189
Analyticity, unitarity and restrictions on inclusive cross-sections at high energies
A. A. Logunov, M. A. Mestvirishvili
194
Dynamic form of the Low type equations
V. A. Meshcheryakov
220
The quantum mechanical three-body problem in terms of $L^2$ kernels
R. G. Newton
224
Higher order corrections to weak processes
G. Pócsik
229
Low-energy photons in $S$-matrix electrodynamics
G. P. Pron'ko, L. D. Solov'ev
232
Duality in properly infinite von Neumann algebras
M. Takesaki
251
Conformal invariant Euclidean quantum field theory
I. T. Todorov
254
The Dyson equations for the two-particle Green function and the bound state problem
R. N. Faustov
295
Singular potentials and their applications to composite models of hadrons with indefinitely rising Regge trajectories
A. T. Filippov
302
The representation $(1,8)\oplus(8,1)$ in the Hamiltonian of hadrons using the example of the $\mathrm{SU}_3$ sigma model
A. A. Khelashvili
312
On phase transitions in open systems far from thermal equilibrium
K. Hepp
323
Ultraviolet asymptotics of propagators and higher Green functions
D. V. Shirkov
333

Mathematical problems of quantum statistics
On a method of computing quasimeans
N. N. Bogolyubov (Jr.), A. S. Shumovskii
351
A method of investigating the densities of electron states of superconducting alloys
V. A. Moskalenko, A. M. Ursu, N. I. Botoshan
362
The Cauchy problem for Bogoljubov's kinetic equations
D. Ya. Petrina, A. K. Vidybida
370
Some applications of Feynman integrals to the theory of Bose systems
V. N. Popov
379
Problems of the ground state of the infinite Heisenberg antiferromagnet
H. R. Reeh
390
An inequality of N. N. Bogoljubov in models of statistical mechanics
B. I. Sadovnikov, V. K. Fedyanin
399
Regularity in the critical phenomena
Y. Tomozawa
408
The spectrum and correlation functions of Heisenberg's anisotropic ferromagnet
Yu. A. Tserkovnikov, Yu. G. Rudoi
414
The method of displacements and collective variables
I. R. Yukhnovskii
425

Discussion
432


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