Non-renormalizability of noncommutative SU(2) gauge theory

Abstract

We analyze the divergent part of the one-loop effective action for the noncommutative SU(2) gauge theory coupled to the fermions in the fundamental representation. We show that the divergencies in the 2-point and the 3-point functions in the $\theta$-linear order can be renormalized, while the divergence in the 4-point fermionic function cannot.

15 pages, results presented at ESI 2d dilaton gravity workshop

References in corpus (4)

• Renormalisation of ϕ^4-theory on noncommutative R^2 in the matrix base
• Power-counting theorem for non-local matrix models and renormalisation
• The one-loop effective action for quantum electrodynamics on noncomutative space
• The Renormalization of Non-Commutative Field Theories in the Limit of Large Non-Commutativity

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• The noncommutative U(1) Higgs-Kibble model in the enveloping-algebra formalism and its renormalizability
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• Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions
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• Remarks on the 2nd order Seiberg-Witten maps
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• Noncommutative GUT inspired theories with U(1), SU(N) groups and their renormalisability
• On divergent 3-vertices in noncommutative SU(2)gauge theory
• Noncommutative N=1 super Yang-Mills, the Seiberg-Witten map and UV divergences
• Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
• The U(1)A anomaly in noncommutative SU(N) theories
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Non-Commutative GUTs, Standard Model and C,P,T properties from Seiberg-Witten map