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Exact solution of noncommutative \(U(1)\) gauge theory in 4 dimensions

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Publication:874091
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DOI10.1016/j.nuclphysb.2004.05.003zbMath1325.81165arXivhep-th/0403233OpenAlexW2030570792MaRDI QIDQ874091

Badis Ydri

Publication date: 4 April 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0403233


Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Renormalization group methods applied to problems in quantum field theory (81T17)


Related Items

A gauge invariant UV-IR mixing and the corresponding phase transition for \(\text{U}(1)\) fields on the fuzzy sphere, The one-plaquette model limit of NC gauge theory in 2D



Cites Work

  • On the origin of the UV-IR mixing in noncommutative matrix geometry
  • Quantized gauge theory on the fuzzy sphere as random matrix model
  • Fuzzy \({\mathbb C}P^2\).
  • Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)
  • PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS
  • Noncommutative field theory
  • Quantum field theory on noncommutative spaces
  • Generalized coherent state approach to star products and applications to the fuzzy sphere
  • Spectrum of Schrödinger field in a noncommutative magnetic monopole
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