Ultraviolet and infrared zeros of gauge theories at the four-loop order and beyond

Journal Article · Tue Feb 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.035013· OSTI ID:21504915

Pica, Claudio; Sannino, Francesco ^[1]

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1. CP3-Origins, Campusvej 55, DK-5230 Odense M (Denmark)

We unveil the general features of the phase diagram for any gauge theory with fermions transforming according to distinct representations of the underlying gauge group, at the four-loop order. We classify and analyze the zeros of the perturbative beta function and discover the existence of a rich phase diagram. The anomalous dimension of the fermion masses, at the infrared stable fixed point, are presented. We show that the infrared fixed point, and associated anomalous dimension, are well described by the all-orders beta function for any theory. We also argue the possible existence, to all orders, of a nontrivial ultraviolet fixed point for gauge theories at large number of flavors.

• OSTI ID: 21504915
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevD.83.035013; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
FERMIONS
FLAVOR MODEL
GAUGE INVARIANCE
MASS
PHASE DIAGRAMS
ULTRAVIOLET RADIATION
COMPOSITE MODELS
DIAGRAMS
ELECTROMAGNETIC RADIATION
INFORMATION
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUARK MODEL
RADIATIONS
SCALE DIMENSION