Noncommutative QED+QCD and the {beta} function for QED

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.105017· OSTI ID:21503668

Ettefaghi, M M; Haghighat, M; Mohammadi, R ^[1]

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1. Department of Physics, Qom University, Qom 371614-6611 (Iran, Islamic Republic of)

QED based on {theta}-unexpanded noncomutative space-time in contrast with the noncommutative QED based on {theta}-expanded U(1) gauge theory via the Seiberg-Witten map is one-loop renormalizable. Meanwhile it suffers from asymptotic freedom that is not in agreement with the experiment. We show that the QED part of the U{sub *}(3)xU{sub *}(1) gauge group as an appropriate gauge group for the noncommutative QED+QCD is not only one-loop renormalizable but also has a {beta} function that can be positive, negative and even zero. In fact the {beta} function depends on the mixing parameter {delta}{sub 13} as a free parameter and it will be equal to its counterpart in the ordinary QED for {delta}{sub 13}=0.367{pi}.

• OSTI ID: 21503668
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.105017; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
COMMUTATION RELATIONS
FUNCTIONS
GAUGE INVARIANCE
MIXING
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
SPACE-TIME
U-1 GROUPS
ELECTRODYNAMICS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
U GROUPS