Solution of the self-dual $\Phi^4$ QFT-model on four-dimensional Moyal space

A Laplacian to compute intersection numbers on ℳ ¯ g , n \overline{\mathcal{M}}_{g,n} and correlation functions in NCQFT

Original

H. Grosse, A. Hock, and R. Wulkenhaar · 1903

Earlier work this paper cites.

Catalan tables and a recursion relation in noncommutative quantum field theory

Original

J. de Jong, A. Hock, and R. Wulkenhaar · 1904

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Solution of all quartic matrix models

Original

H. Grosse, A. Hock, and R. Wulkenhaar · 1906

Earlier work this paper cites.

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

Original

H. Grosse and R. Wulkenhaar · 1906

Earlier work this paper cites.

A soluble relativistic field theory?

W. E. Thirring · 1958

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Gauge invariance and mass. 2

J. S. Schwinger · 1962

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Dynamical symmetry breaking in asymptotically free field theories

D. J. Gross and A. Neveu · 1974

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Integral Equations

F. Tricomi · 1985

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Asymptotic expansions and inequalities for hypergeometric function

S. Ponnusamy and M. Vuorinen · 1997

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Duality in scalar field theory on noncommutative phase spaces

E. Langmann and R. J. Szabo · 2002

Cited alongside, same era.

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

H. Grosse and R. Wulkenhaar · 2005

Cited alongside, same era.

Vanishing of beta function of non commutative Φ 4 4 \Phi^{4}_{4} theory to all orders

M. Disertori, R. Gurau, J. Magnen, and V. Rivasseau · 2007

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Table of integrals, series, and products

I. S. Gradshteyn and I. M. Ryzhik · 2007

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Multiple zeta values and periods of moduli spaces ℳ 0 , n \mathcal{M}_{0,n}

F. C. S. Brown · 2009

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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

Original

E. Panzer · 2014

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Lambert-W solves the noncommutative Φ 4 \Phi^{4} -model

Original

E. Panzer and R. Wulkenhaar · 2019

Closest in time.