The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory

DOI10.1140/epjc/s2004-01853-xzbMath1191.81207arXivhep-th/0402093OpenAlexW2986537419MaRDI QIDQ982887

Raimar Wulkenhaar, Harald Grosse

Publication date: 27 July 2010

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0402093

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

On the fixed point equation of a solvable 4D QFT model, Integrability and positivity in quantum field theory on noncommutative geometry, Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom, Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences, A translation-invariant renormalizable non-commutative scalar model, How Prof. Zeidler supported our research on exact solution of quantum field theory toy models, Closed star product on noncommutative \(\mathbb R^{3}\) and scalar field dynamics, Quantum gravity, field theory and signatures of noncommutative spacetime, Renormalisation of noncommutative \(\phi^4\)-theory by multi-scale analysis, The Snyder-de Sitter scalar \(\varphi_\star^4\) quantum field theory in \(D = 2\), Construction of the noncommutative complex ball, Renormalization of non-commutative \(\Phi^4_4\) field theory in \(x\) space, Renormalization of the commutative scalar theory with harmonic term to all orders, The full Ward-Takahashi identity for colored tensor models, Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model, Tree quantum field theory, Topological graph polynomials in colored group field theory, 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory, Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps, UV/IR duality in noncommutative quantum field theory, Renormalizable noncommutative quantum field theory, Constructive tensor field theory: the \(T_{4}^{4}\) model, Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory, Noncommutative field theory on rank one symmetric spaces, Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential, Quantum field theory on noncommutative spaces, Spectral action and big desert, Two- and three-loop beta function of non-commutative \(\Phi_4^4\) theory, Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders, Color Grosse-Wulkenhaar models: one-loop \(\beta \) -functions, On the vacuum states for non-commutative gauge theory, Vacuum configurations for renormalizable non-commutative scalar models, One-loop beta functions for the orientable non-commutative Gross-Neveu model, Intermediate field representation for positive matrix and tensor interactions, Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base, Detecting scaling in phase transitions on the truncated Heisenberg algebra, A Solvable Four-Dimensional QFT, Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models, Random tensors and quantum gravity, The tensor track, III, Noncommutative quantum field theory, One-loop \(\beta \) functions of a translation-invariant renormalizable noncommutative scalar model, Constraints, gauge symmetries, and noncommutative gravity in two dimensions, Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders, Field theories on deformed spaces, From scalar fields on quantum spaces to blobbed topological recursion