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1975, Volume 136  

| General information | Contents |


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
3–4

Fields and particles
Application of the Newton–Kantorovich method in elementary particles physics
A. Ts. Amatuni, V. S. Pogosyan, È. V. Sekhposyan
5–14
Causality of the invariant form factors in the decomposition of the current commutators
P. N. Bogolyubov
15–33
Low-energy dispersion theories
A. N. Vall, V. V. Serebryakov
34–38
Scale invariance, elementary particles and high-energy scattering in quantum field theory
I. F. Ginzburg, A. V. Efremov
39–69
Statistical method in DRM
M. I. Gorenshtein, V. A. Miransky, V. P. Shelest, B. V. Struminskii, G. M. Zinovjev
70–84
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
85–129
Asymptotic behaviour of the planar one-loop correction to the Regge trajectory in the dual model
H. Dorn, H. J. Kaiser
130–144
Quasipotential type equations for the relativistic three-particle system
A. N. Kvinikhidze, D. Ts. Stoyanov
145–161
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
162–176
Analyticity in several variables and physical parametric sum rules
N. N. Khuri, G. Auberson
177–188
On casuality tests for inelastic electron scattering
H. Leutwyler
189–193
Analyticity, unitarity and restrictions on inclusive cross-sections at high energies
A. A. Logunov, M. A. Mestvirishvili
194–219
Dynamic form of the Low type equations
V. A. Meshcheryakov
220–223
The quantum mechanical three-body problem in terms of $L^2$ kernels
R. G. Newton
224–228
Higher order corrections to weak processes
G. Pócsik
229–231
Low-energy photons in $S$-matrix electrodynamics
G. P. Pron'ko, L. D. Solov'ev
232–250
Duality in properly infinite von Neumann algebras
M. Takesaki
251–253
Conformal invariant Euclidean quantum field theory
I. T. Todorov
254–294
The Dyson equations for the two-particle Green function and the bound state problem
R. N. Faustov
295–301
Singular potentials and their applications to composite models of hadrons with indefinitely rising Regge trajectories
A. T. Filippov
302–311
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
312–322
On phase transitions in open systems far from thermal equilibrium
K. Hepp
323–332
Ultraviolet asymptotics of propagators and higher Green functions
D. V. Shirkov
333–350

Mathematical problems of quantum statistics
On a method of computing quasimeans
N. N. Bogolyubov (Jr.), A. S. Shumovskii
351–361
A method of investigating the densities of electron states of superconducting alloys
V. A. Moskalenko, A. M. Ursu, N. I. Botoshan
362–369
The Cauchy problem for Bogoljubov's kinetic equations
D. Ya. Petrina, A. K. Vidybida
370–378
Some applications of Feynman integrals to the theory of Bose systems
V. N. Popov
379–389
Problems of the ground state of the infinite Heisenberg antiferromagnet
H. R. Reeh
390–398
An inequality of N. N. Bogoljubov in models of statistical mechanics
B. I. Sadovnikov, V. K. Fedyanin
399–407
Regularity in the critical phenomena
Y. Tomozawa
408–413
The spectrum and correlation functions of Heisenberg's anisotropic ferromagnet
Yu. A. Tserkovnikov, Yu. G. Rudoi
414–424
The method of displacements and collective variables
I. R. Yukhnovskii
425–431

Discussion
432
Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
 
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