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Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory
Corrections to continuum theory results stemming from finite lattice spacing can be diminished systematically by use of lattice actions that also include suitable irrelevant terms. We describe inExpand
ANOMALIES OF THE FREE LOOP WAVE EQUATION IN THE WKB APPROXIMATION
We derive a well-defined, reparametrization invariant expression for the next to leading term in the small ħ expansion of the euclidean loop Green functional ψ(C). To this order in ħ, we then verifyExpand
Small distance behaviour in field theory and power counting
For infinitesimal changes of vertex functions under infinitesimal variation of all renormalized parameters, linear combinations are found such that the net infinitesimal changes of all vertexExpand
On the formulation of quantized field theories — II
SummaryWe discuss the concept of causal scattering matrices using retarded multiple commutators of field operators.RiassuntoSi discute il concetto di matrice causale di scattering ricorrendo aExpand
SCHRODINGER REPRESENTATION AND CASIMIR EFFECT IN RENORMALIZABLE QUANTUM FIELD THEORY
Abstract We show that the Schrodinger representation exists in renormalizable quantum field theory to all orders in the perturbation expansion. In this sense, completeness of the Schrodinger statesExpand
Continuum Limit and Improved Action in Lattice Theories. 2. O(N) Nonlinear Sigma Model in Perturbation Theory
The method of paper (I) of this series is applied to the O(N) non-linear sigma model. Due to the use of non-manifestly invariant perturbation theory the improvement part of the action, computedExpand
Proof and Refinements of an Inequality of Feynman
A lower bound given by Feynman for the quantum mechanical free energy of an oscillator is proved, refined, and generalized. The method, application of a classical inequality to path integrals, alsoExpand
Some topics in quantum field theory
Quantum field theory (QFT) I would here like to understand as four-dimensional (mostly, Euclidean) continuum theory. Unfortunately, concerning this there are so far only negative rigorous results: 4,Expand
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