Validity of Goldstone theorem at two loops in noncommutative U\((N)\) linear sigma model

DOI10.1016/S0550-3213(02)00393-0zbMath0996.81506arXivhep-th/0204032OpenAlexW2063697939MaRDI QIDQ1605013

Yi Liao

Publication date: 10 July 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0204032

zbMATH Keywords

spontaneous symmetry breakingleading IR terms

Mathematics Subject Classification ID

Model quantum field theories (81T10) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

Vacuum configurations for renormalizable non-commutative scalar models, Mass generation without the Higgs mechanism

Cites Work

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• UV/IR mixing and the Goldstone theorem in noncommutative field theory
• Noncommutative field theory
• Renormalizability and UV/IR mixing in noncommutative theories with scalar fields.
• The IR/UV connection in non-commutative gauge theories
• The BRS invariance of noncommutative \(U(N)\) Yang-Mills theory at the one-loop level
• The Higgs mechanism in non-commutative gauge theories
• Noncommutative linear sigma models
• Noncommutative gauge field theories: a no-go theorem