Quantum field theory without divergences

Abstract

It is shown that loop divergences emerging in the Green functions in quantum field theory originate from correspondence of the Green functions to {\em unmeasurable} (and hence unphysical) quantities. This is because no physical quantity can be measured in a point, but in a region, the size of which is constrained by the resolution of measuring equipment. The incorporation of the resolution into the definition of quantum fields $\varphi (x)\to {\varphi }^{(A)}(x)$ and appropriate change of Feynman rules results in finite values of the Green functions. The Euclidean ${\varphi }^4$-field theory is taken as an example.

6 pages, LaTeX, revtex, 2 eps figures

References in corpus (1)

• Wavelet-Based Quantum Field Theory

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