Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)

DOI10.1016/S0550-3213(00)00726-4zbMath0972.81185arXivhep-th/0007131OpenAlexW3100120753WikidataQ126550946 ScholiaQ126550946MaRDI QIDQ1841424

Fernando Ruiz Ruiz, Carmelo P. Martin

Publication date: 27 February 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0007131

zbMATH Keywords

noncommutative Minkowski spacetimeFeynman-`tHooft background gaugetachyon magnification dominance

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (10)

Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom ⋮ Volume independence for Yang–Mills fields on the twisted torus ⋮ Exact solution of noncommutative \(U(1)\) gauge theory in 4 dimensions ⋮ Position-dependent noncommutative products: classical construction and field theory ⋮ Gauge theories on quantum spaces ⋮ General properties of non-commutative field theories ⋮ The BRS invariance of noncommutative \(U(N)\) Yang-Mills theory at the one-loop level ⋮ Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry ⋮ UV/IR mixing via closed strings and tachyonic instabilities ⋮ UV/IR mixing and the Goldstone theorem in noncommutative field theory

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