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Lebowitz and E. Presutti , Statistical mechanics of systems of unbounded spins. Sylvester , Inequalities for continuous-spin Ising ferromagnets. Newman , Gaussian correlation inequalities for ferromagnets. Sylvester , Representations and inequalities for Ising model Ursell functions. Bricmont , The Gaussian inequality for multicomponent rotators. Battle and L.

Newman , Moment inequalities for ferromagnetic Gibbs distributions.

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Miracle-Sole , Correlation functions and boundary conditions in the Ising ferromagnet. Hegerfeldt , Correlation inequalities for Ising ferromagnets with symmetries. Israel , E. Lieb and B.

Simon , Phase transitions and reflection positivity. General theory and long range lattice models. Schor , The particle structure of v-dimensional Ising models at low temperatures. Sokal , Representations and inequalities for the 2-point function in classical lattice systems. Unpublished manuscript, Simon and T.

Spencer , Infrared bounds, phase transitions and continuous symmetry breaking. Simon , New rigorous existence theorems for phase transitions in model systems. Cabib et al. Annals of the Israel Physical Society, t. Domination by the two point function. Sokal , More inequalities for critical exponents. Simon , Decay of correlations in ferromagnets. Simon , Correlation inequalities and the decay of correlations in ferromagnets.

D 11 , , p. Paes-Leme , Ornstein-Zernike and analyticity properties for classical lattice spin systems. Mcbryan and J. Lieb , A refinement of Simon's correlation inequality. Jaffe , Critical exponents and elementary partices. Sokal , Unpublished , Lebowitz and A. Baker Jr. Nickel , M. Green and D. Meiron , Ising-model critical indices in three dimensions from the Callan-Symanzik equation. Jaffe , Absolute bounds on vertices and couplings. A 22 , , p.

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### An Introduction

Boulware and L. Brown , Tree graphs and classical fields. Suzuki , Generalized exact formula for the correlations of the Ising model and other classical systems. Schwabl , Generating functional and Green's function hierarchy of the Ising model. Lehmann , K.

## Fall Course 8: Physics

Symanzik and W. Zimmermann , Zur Vertexfunktion in quantisierten Feldtheorien. Barton , Introduction to advanced field theory. New York, Interscience, , Chapters Ford , Problem of ghost states in field theories. Ferrari and G. Jona-Lasinio , Remarks on the appearance of ghost states in relativistic field theories. Symanzik , On the many-particle structure of Green's functions in quantum field theory. Evans , High energy theorem in quantum electrodynamics. In: Quantum dynamics, models and mathematics Bielefeld symposium , L. Streit, ed. Wien-New York, Springer-Verlag, Acta Physica Austriaca Suppl.

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New York, Plenum Press, Streater and A. Wightman , PCT, spin and statistics, and all that.

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