The pure phases (harmonic functions) of generalized processes or: Mathematical physics of phase transitions and symmetry breaking

Functional analysis

1973 • 14,327 citations

Symmetry

1952 • 679 citations

Statistical mechanics of a one-dimensional lattice gas

1968 • 501 citations

Infrared bounds, phase transitions and continuous symmetry breaking

1976 • 476 citations

Construction of quantum fields from Markoff fields

1973 • 338 citations

On the uniqueness of the equilibrium state for Ising spin systems

1972 • 164 citations

Statistical Mechanics and Mathematical Problems

1973 • 148 citations

Markov Random Fields and Gibbs Ensembles

1971 • 146 citations

On the decay of correlations inSO(n)-symmetric ferromagnets

1977 • 131 citations

Phase Transitions for ϕ 2 4 Quantum Fields

1985 • 131 citations

Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics

1975 • 125 citations

A convergent expansion about mean field theory

1976 • 117 citations

Markov Random Fields and Gibbs Ensembles

1971 • 111 citations

Construction de solutions radiatives approchées des equations d'Einstein

1969 • 102 citations

Coexistence of phases in Ising ferromagnets

1977 • 98 citations

Schwinger functions and their generating functionals I.

1974 • 83 citations

Nelson's symmetry and all that in the Yukawa2 and (φ4)3 field theories

1976 • 73 citations

Phase Transitions in the Quantum Heisenberg Model

1976 • 65 citations

High-temperature analyticity in classical lattice systems

1976 • 58 citations

On the equivalence of theKMS condition and the variational principle for quantum lattice systems

1974 • 52 citations

Schwinger functions and their generating functionals. II. Markovian and generalized path space measures on J′

1977 • 52 citations

On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems

1974 • 51 citations

Secret symmetry: an introduction to spontaneous symmetry breakdown and gauge fields

1985 • 50 citations

Existence of Phase Transitions for Anisotropic Heisenberg Models

1977 • 43 citations

On the uniqueness of the equilibrium state for plane rotators

2008 • 40 citations

On representations of the canonical commutation relations

1971 • 39 citations

Phase Transitions, Goldstone Bosons and Topological Superselection Rules

1976 • 29 citations

A family of equilibrium states relevant to low temperature behavior of spin 1/2 classical ferromagnets. Breaking of translation symmetry

1974 • 22 citations

Analyticity of Green's Functions of Dilute Quantum Gases

1971 • 21 citations

On applying mathematics Reflections and examples

1972 • 17 citations

Phase Transitions in Statistical Mechanics and Quantum Field Theory

1977 • 15 citations

Correlation functionals of infinite volume quantum spin systems

1969 • 14 citations

Reconstruction of quantum fields from Euclidean Green's functions at arbitrary temperatures

1975 • 9 citations

Modular Hilbert algebras

1970 • 5 citations

Tangents to the pressure as invariant equilibrium states in statistical mechanics of lattice systems

1975 • 4 citations