This article is cited in 10 papers

Bogolyubov's inequalities in systems of many interacting particles with broken symmetry

B. I. Sadovnikov, V. K. Fedyanin


Abstract: On the basis of the concept of quasiaverages and Bogolyubov's inequalities for the commutator Green's functions, we discuss some problems in many-particle systems in which spontaneous symmetry breaking is manifested physically in quite different ways: the Ising model, the Heisenberg model with ferro-, antiferro-, and ferrimagnetic ordering, systems of superfluid and superconducting type, and a system with crystalline ordering.

Received: 20.02.1973

 English version: Theoretical and Mathematical Physics, 1973, 16:3, 901–919

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