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Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory

- K. Symanzik
- Physics
- 26 September 1983

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 in… Expand

ANOMALIES OF THE FREE LOOP WAVE EQUATION IN THE WKB APPROXIMATION

- M. Lüscher, K. Symanzik, P. Weisz
- Physics
- 27 October 1980

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 verify… Expand

Small distance behaviour in field theory and power counting

- K. Symanzik
- Mathematics
- 1970

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 vertex… Expand

On the formulation of quantized field theories — II

- H. Lehmann, K. Symanzik, W. Zimmermann
- Physics
- 1 August 1957

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 a… Expand

SCHRODINGER REPRESENTATION AND CASIMIR EFFECT IN RENORMALIZABLE QUANTUM FIELD THEORY

- K. Symanzik
- Physics
- 6 July 1981

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 states… Expand

Continuum Limit and Improved Action in Lattice Theories. 2. O(N) Nonlinear Sigma Model in Perturbation Theory

- K. Symanzik
- Physics
- 26 September 1983

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, computed… Expand

Proof and Refinements of an Inequality of Feynman

- K. Symanzik
- Mathematics
- 1 July 1965

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, also… Expand

Some topics in quantum field theory

- K. Symanzik
- Physics
- 1982

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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