Quantum field theory without divergences

Details Quantum field theory without divergences Quantum field theory without divergences

2010-02-12

arxiv.org/abs/1002.2566v4

Physical Review D. 81(2010)125003

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX, revtex, 2 eps figures

Scientific paper

10.1103/PhysRevD.81.125003

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 $\phi(x)\to\phi^{(A)}(x)$ and appropriate change of Feynman rules results in finite values of the Green functions. The Euclidean $\phi^4$-field theory is taken as an example.

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