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

1975, Volume 135

| General information | Contents |


International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory


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

Preface
3
The construction of a nonlocal quantum field theory
V. A. Alebastrov, G. V. Efimov
5
Relative Hamiltonian for states of von Neumann algebras
H. Araki
18
On automodel asymptotic in quantum field theory
N. N. Bogolyubov, V. S. Vladimirov, A. N. Tavkhelidze
26
Causality and local analyticity: general results and some applications to quantum field theory
J. Bros, D. Iagolnitzer
54
Analytic functions of several complex variables, and quantum field theory
V. S. Vladimirov
68
Local gauge models predicting their own superselection rules
J.-L. Bonnard, R. F. Streater
81
Exponential interaction of scalar massless fields (third order)
M. K. Volkov
87
The renormalized Hamiltonian, the local fields, and the scattering theory for some translationally-invariant models of quantum field theory
I. Ya. Aref'eva, A. K. Pogrebkov, V. N. Sushko, I. V. Volovich
95
Particals and fields
J. G. Glimm
105
Locality and particle statistics
S. Doplicher
107
Feynman's path integral
C. DeWitt-Morette
115
Renormalization and indefinite metric
O. I. Zavialov
120
Equivalence properties of coherent superselection sectors and description of physical symmetries in algebraic axiomatic theory
Yu. M. Zinoviev, V. N. Sushko, S. S. Horuzhy
127
On the dynamical contents of two-particle structure, positivity, crossing symmetry, and analyticity
G. Sommer
137
On the analytic renormalization of Green's functions
E. R. Caianiello
149
Ultralocal approach to quantum field theory: a survey of present results
J. R. Klauder
160
On Op*-algebras of unbounded operators
G. Lassner, A. Uhlmann
168
Chiral-invariant field theory and pionpion scattering
H. Lehmann
174
Quantum field theory on a curved background
A. Lichnerowicz
178
The method of the augmented $S$-matrix in quantum field theory
B. V. Medvedev, V. P. Pavlov, M. K. Polivanov, A. D. Sukhanov
186
$T$-products in Bogolubov's axiomatics
B. V. Medvedev, A. D. Sukhanov
198
Higher order perturbation theory of exponential Lagrangians: fourth order
K. Pohlmeyer
201
Must there be a gauge group?
J. E. Roberts
206
Renormalization of theories with a nontrivial group of internal symmetry
A. A. Slavnov
210
Differential-geometric structures, and quantum field theory
L. D. Faddeev
218
Remarks on axiomatic quantization of the gravitational field
M. Flato, J. Simon, D. Sternheimer
224
Mathematical problems in the theory of quantum channels
A. S. Holevo
226
Covariant expansions for field commutators at an equal-time point
Yu. M. Shirokov
228
Scattering of infraparticles
O. Steinmann
236
Review on recent progress in renormalization theory
B. Schroer
240


© Steklov Math. Inst. of RAS, 2025