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arXiv · 1505.03588

Analysis of a Zero of a Beta Function Using All-Orders Summation of Diagrams

Robert Shrock
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Abstract

Conventionally, one calculates a zero in a beta function by computing this function to a given loop order and solving for the zero. Here we discuss a different method which is applicable in theories where one can perform a partial diagrammatic summation to infinite-loop order. We show that this method, compared with the conventional method, yields much better agreement with exact results in the case of an asymptotically free gauge theory with ${\cal N}=1$ supersymmetry. Applications to other field theories are also discussed.

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Robert Shrock. 2015-05-14. Analysis of a Zero of a Beta Function Using All-Orders Summation of Diagrams. https://doi.org/10.1103/physrevd.91.125039

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