Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry

DOI10.1016/S0370-2693(01)00145-9zbMath0977.81156arXivhep-th/0012171OpenAlexW2149695961WikidataQ127360704 ScholiaQ127360704MaRDI QIDQ5933143

Fernando Ruiz Ruiz

Publication date: 5 June 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0012171

zbMATH Keywords

noncommutative Minkowski space-timequadratic vacuum polarization tensor divergencesrenormalized Green functions

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences, Super Yang-Mills and \(\theta\)-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences, Quantum duality under the \(\theta\)-exact Seiberg-Witten map, Noncommutative \(U(1)\) gauge theory from a worldline perspective, Volume independence for Yang–Mills fields on the twisted torus, Position-dependent noncommutative products: classical construction and field theory, Gauge theories on quantum spaces, A generalization of Slavnov-extended non-commutative gauge theories, General properties of non-commutative field theories, Supersymmetric extension of the Snyder algebra, Trouble with space-like noncommutative field theory, UNITARITY OF NONCOMMUTATIVE FIELD THEORIES FROM STRING THEORY, NONCOMMUTATIVE U(1) SUPER-YANG–MILLS THEORY: PERTURBATIVE SELF-ENERGY CORRECTIONS, Ultraviolet finite noncommutative theories, One-loop calculations for a translation invariant non-commutative gauge model, Morita duality and large-\(N\) limits, LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY, UV/IR MIXING IN NONCOMMUTATIVE FIELD THEORIES AND OPEN–CLOSED STRING DUALITY, UV/IR mixing via closed strings and tachyonic instabilities, UV/IR mixing and the Goldstone theorem in noncommutative field theory

Cites Work

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