Price of asymptotic freedom

Coleman, Sidney R.; Gross, David J.

doi:10.1103/PhysRevLett.31.851

Price of asymptotic freedom

Sidney R. Coleman
(
- Princeton U.
)
,
David J. Gross
(
- Princeton U.
)

Jul 13, 1973

4 pages

Published in:

Phys.Rev.Lett. 31 (1973) 851-854

Published: Sep 24, 1973

DOI:

10.1103/PhysRevLett.31.851

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Abstract: (APS)

A renormalizable field theory is said to be asymptotically free if the origin of coupling-constant space is an ultraviolet-stable fixed point in the sense of Wilson. Asymptotically free theories are of great interest because they have almost-canonical light-cone singularities, and thus predict phenomena very close to Bjorken scaling. All known examples of asymptotically free theories involve non-Abelian gauge fields. We show that this is not coincidence: No renormalizable field theory without non-Abelian gauge fields can be asymptotically free.

References(9)

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