Abstract The critical O (N) CFT in spacetime dimensions 2< d< 4 is one of the most important
examples of a conformal field theory, with the Ising CFT at N= 1, 2⩽ d< 4, as a notable …

Great effort is presently being expended in the search for elementary scalar “Higgs”
particles. These particles have yet to be observed. The primary justification for this search is …

We introduce a new notion of “regularity structure” that provides an algebraic framework
allowing to describe functions and/or distributions via a kind of “jet” or local Taylor expansion …

We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models
with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian. A …

PCT, Spin and Statistics, and All That is the classic summary of and introduction to the
achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical …

There is a strong intuitive understanding of renormalization, due to Wilson, in terms of the
scaling of effective lagrangians. We show that this can be made the basis for a proof of …

Page 1 m(T) James Glimm Arthur Jaffe Quantum Physics Second Edition A Functional Integral
Point of View T Springer-Verlag T Page 2 Quantum Physics Page 3 James Glimm Arthur Jaffe …

Axioms for Euclidean Green's Functions Page 1 Commun. math. Phys. 31, 83-112 (1973) ©
by Springer-Verlag 1973 Axioms for Euclidean Green's Functions Konrad Osterwalder* and …

Page 1 Page 2 Page 3 FUNCTIONAL INTEGRATION AND QUANTUM PHYSICS SECOND
EDITION This One EAH9-RTO-NUBO Page 4 Page 5 FUNCTIONAL INTEGRATION AND …

We prove the invariance of the Gibbs measure under the dynamics of the three-dimensional
cubic wave equation, which is also known as the hyperbolic Φ 3 4-model. This result is the …