UV/IR mixing and the Goldstone theorem in noncommutative field theory

DOI10.1016/S0550-3213(02)00447-9zbMath0996.81102arXivhep-th/0202011OpenAlexW2111407002MaRDI QIDQ1606148

Fernando Ruiz Ruiz

Publication date: 24 July 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0202011

zbMATH Keywords

1PI Green functionscomplex scalar field theoryone-loop renormalizable phase

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75)

Related Items

Position-dependent noncommutative products: classical construction and field theory, Trouble with space-like noncommutative field theory, CORNWALL–JACKIW–TOMBOULIS EFFECTIVE POTENTIAL FOR CANONICAL NONCOMMUTATIVE FIELD THEORIES, Vacuum configurations for renormalizable non-commutative scalar models, Mass generation without the Higgs mechanism, Validity of Goldstone theorem at two loops in noncommutative U\((N)\) linear sigma model

Cites Work

• Hermitian analyticity, IR/UV mixing and unitarity of noncommutative field theories
• UV/IR mixing via closed strings and tachyonic instabilities
• Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)
• Noncommutative perturbative dynamics
• Perturbative analysis on infrared aspects of noncommutative QED on \(\mathbb R^ 4\).
• The IR/UV connection in non-commutative gauge 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
• The Higgs mechanism in non-commutative gauge theories
• Noncommutative linear sigma models
• The three-dimensional noncommutative nonlinear sigma model in superspace
• Unnamed Item