Noncommutative field theory on ℝ3λ
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Publication:2812664
DOI10.1002/prop.201400037zbMath1338.81279arXiv1406.1372OpenAlexW2100977215MaRDI QIDQ2812664
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Publication date: 17 June 2016
Published in: Fortschritte der Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.1372
Model quantum field theories (81T10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Noncommutative geometry methods in quantum field theory (81T75) Foliations in differential topology; geometric theory (57R30)
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Cites Work
- Noncommutative field theories on \( \mathbb{R}_{\lambda}^3 \): towards UV/IR mixing freedom
- Republication of: ``Quantum theory of weak gravitational fields
- String theory and noncommutative geometry
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- Discreteness of area and volume in quantum gravity
- The quantum structure of spacetime of the Planck scale and quantum fields
- Power-counting theorem for non-local matrix models and renormalisation
- The spacetime of double field theory: Review, remarks, and outlook
- Algebras of distributions suitable for phase-space quantum mechanics. I
- REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM
- Noncommutative field theory
- Quantum field theory on noncommutative spaces
- Noncommutative perturbative dynamics
- Renormalization of quantum field theories on non-commutative \(\mathbb{R}^d\). I: Scalars
- The IR/UV connection in non-commutative gauge theories
