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Explicit solutions for the running coupling constant and the separatrix of quantum field theories

✍ Scribed by N.N Khuri; H.C Ren

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
585 KB
Volume
189
Category
Article
ISSN
0003-4916

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✦ Synopsis

Starting with 't Hooft's definition of a renormalized coupling constant, we give an explicit solution for the running coupling constant. We also give an exact expression for the "separatrix" of a quantum field theory, i.e., the line that separates the asymptotically free region of the g-plane from the nonasymptotically free one. Our results hold for all four dimensional renormalizable theories such as QCD, QED, and S:. The implication of the results is discussed. 0 1989 Academic Press. Inc.

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