Integrability and positivity in quantum field theory on noncommutative geometry
DOI10.1016/j.geomphys.2018.08.001zbMath1404.81184OpenAlexW2887973581WikidataQ129396254 ScholiaQ129396254MaRDI QIDQ1629717
Raimar Wulkenhaar, Harald Grosse
Publication date: 12 December 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.08.001
noncommutative geometryquantum field theorymatrix modelreflection positivitysolvable modelSchwinger-Dyson equation
Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Constructive quantum field theory (81T08) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Special quantum systems, such as solvable systems (81Q80)
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Cites Work
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- On the fixed point equation of a solvable 4D QFT model
- 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
- Renormalisation of noncommutative \(\phi^4\)-theory by multi-scale analysis
- Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model
- Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions
- The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory
- Intersection theory on the moduli space of curves and the matrix Airy function
- Three integrable Hamiltonian systems connected with isospectral deformations
- Axioms for Euclidean Green's functions. II
- Ultraviolet finite quantum field theory on quantum spacetime
- Noncommutative geometry and matrix theory: Compactification on tori
- String theory and noncommutative geometry
- D-branes and deformation quantization
- Exact solution of matricial \(\Phi_2^3\) quantum field theory
- The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
- Axioms for Euclidean Green's functions
- Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model
- Power-counting theorem for non-local matrix models and renormalisation
- Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders
- PROPERTIES OF HERMITIAN MATRIX MODELS IN AN EXTERNAL FIELD
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Deformation quantization for actions of 𝑅^{𝑑}
- PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS
- Noncommutative perturbative dynamics
- Renormalization of quantum field theories on non-commutative \(\mathbb{R}^d\). I: Scalars
- Duality in scalar field theory on noncommutative phase spaces
