Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model (Q2413546)

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English	Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model	scientific article

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scholarly article

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Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model (English)

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Annales Henri Poincaré

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publication date

14 September 2018

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full work available at URL

https://arxiv.org/abs/1805.06365

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MaRDI profile type

MaRDI publication profile

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Noncommutative geometry and matrix theory: Compactification on tori

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D-branes and deformation quantization

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String theory and noncommutative geometry

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Noncommutative perturbative dynamics

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Duality in scalar field theory on noncommutative phase spaces

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Power-counting theorem for non-local matrix models and renormalisation

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Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base

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Renormalisation of noncommutative \(\phi^4\)-theory by multi-scale analysis

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Exact solution of quantum field theory on noncommutative phase spaces

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Renormalization of the orientable non-commutative Gross-Neveu model

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Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model

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Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions

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Renormalization of orientable non-commutative complex \(\Phi^{6}_{3}\) model

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Quantum field theory on the degenerate Moyal space

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

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Two- and three-loop beta function of non-commutative \(\Phi_4^4\) theory

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Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders

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Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory

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Topological graph polynomials and quantum field theory. I: Theory kernel theories

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Constructive \(\phi^{4}\) field theory without tears

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Loop vertex expansion for Φ2k theory in zero dimension

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How to resum Feynman graphs

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Loop vertex expansion for higher-order interactions

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The multiscale loop vertex expansion

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Corrected loop vertex expansion for Φ24 theory

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Universality and Borel summability of arbitrary quartic tensor models

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Constructive tensor field theory: the \({T^4_3}\) model

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Renormalisation of non-commutative field theories

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An improvement of Watson’s theorem on Borel summability

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Algebras of distributions suitable for phase-space quantum mechanics. I

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Moyal planes are spectral triples

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Scaling behavior of three-dimensional group field theory

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The \(1/N\) expansion of tensor models beyond perturbation theory

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Identifiers

zbMATH Open document ID

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10.1007/s00023-018-0688-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2413546

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