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This thesis studies matrix field theories, which are a special type of matrix models.
H. Grosse, A. Hock, and R. Wulkenhaar · 1903
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Catalan tables and a recursion relation in noncommutative quantum field theory
J. de Jong, A. Hock, and R. Wulkenhaar · 1904
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Large genus behavior of topological recursion
B. Eynard · 1905
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Solution of all quartic matrix models
H. Grosse, A. Hock, and R. Wulkenhaar · 1906
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H. Grosse and R. Wulkenhaar · 1906
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Über die asymptotische Verteilung der Eigenwerte
H. Weyl · 1911
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Towards integrability of the quartic analogue of the Kontsevich model
J. Schürmann and R. Wulkenhaar · 1912
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The Stieltjes transform
D. V. Widder · 1938
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Divergence of perturbation theory in quantum electrodynamics
F. J. Dyson · 1952
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Zur Formulierung quantisierter Feldtheorien
Lehmann H., Symanzik K., and Zimmermann W · 1955
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Quantum field theory in terms of vacuum expectation values
A. S. Wightman · 1956
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Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
N. N. Bogolyubov and O. S. Parasiuk · 1957
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On the inversion of certain matrices
S. Schechter · 1959
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Proof of the Bogolyubov-Parasiuk theorem on renormalization
K. Hepp · 1966
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The λ ϕ 2 4 \lambda\phi^{4}_{2} quantum field theory without cut-offs, I
J. Glimm and A. M. Jaffe · 1968
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The irreducibility of the space of curves of the genus
P. Deligne and D. Mumford · 1969
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Convergence of Bogolyubov’s method of renormalization in momentum space
W. Zimmermann · 1969
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The λ ϕ 2 4 \lambda\phi^{4}_{2} quantum field theory without cut-offs, II The field operators and the approximate vacuum
J. Glimm and A. M. Jaffe · 1970
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The λ ϕ 2 4 \lambda\phi^{4}_{2} quantum field theory without cut-offs, III The physical vacuum
J. Glimm and A. M. Jaffe · 1970
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The λ ϕ 2 4 \lambda\phi^{4}_{2} quantum field theory without cut-offs, IV Perturbations of the Hamiltonian
J. Glimm and A. M. Jaffe · 1972
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Gravitation
C. W. Misner, K. S. Thorne, and J. A. Wheeler · 1973
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Axioms for Euclidean green’s functions
K. Osterwalder and R. Schrader · 1973
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Axioms for Euclidean green’s functions. 2
K. Osterwalder and R. Schrader · 1975
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The resolvent and Hamiltonian systems
I. M. Gelfand and L. A. Dikii · 1977
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Planar diagrams
E. Brezin, C. Itzykson, G. Parisi, and J. B. Zuber · 1978
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Quantum Geometry of Bosonic Strings
A. M. Polyakov · 1981
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Functional integrals in quantum field theory and statistical physics
V. N. Popov · 1984
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Integral Equations
F. Tricomi · 1985
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Algebras of distributions suitable for phase space quantum mechanics. 1
J. M. Gracia-Bondia and J. C. Varilly · 1988
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Deformation quantization of Heisenberg manifolds
M. A. Rieffel · 1989
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PCT, spin and statistics, and all that
R. F. Streater and A. S. Wightman · 1989
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Two-dimensional gravity and intersection theory on moduli space
E. Witten · 1990
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Properties of Hermitean matrix models in an external field
Yu. Makeenko and G. W. Semenoff · 1991
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On the Kontsevich model and other models of two-dimensional gravity
Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
M. Mirzakhani · 2006
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New measurement of the electron magnetic moment using a one-electron quantum cyclotron
B. C. Odom, D. Hanneke, B. D’Urso, and G. Gabrielse · 2006
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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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Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
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Table of integrals, series, and products
I. S. Gradshteyn and I. M. Ryzhik · 2007
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E. Witten · 1991
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Combinatorics of the modular group. 2. The Kontsevich integrals
C. Itzykson and J. B. Zuber · 1992
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Intersection theory on the moduli space of curves and the matrix Airy function
M. Kontsevich · 1992
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From 1 matrix model to Kontsevich model
J. Ambjorn and C. F. Kristjansen · 1993
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Noncommutative Geometry
A. Connes · 1994
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2-D gravity and random matrices
P. Di Francesco, P. H. Ginsparg, and J. Zinn-Justin · 1995
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V. Bouchard and M. Marino · 2008
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Topological expansion and boundary conditions
B. Eynard and N. Orantin · 2008
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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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Progress in solving a noncommutative quantum field theory in four dimensions
H. Grosse and R. Wulkenhaar · 2009
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Cut-and-Join operator representation for Kontsewich-Witten tau-function
A. Alexandrov · 2011
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G. Borot and B. Eynard · 2012
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Quantum spectral curve for the Gromov-Witten theory of the complex projective line
P. Dunin-Barkowski, M. Mulase, P. Norbury, A. Popolitov, and S. Shadrin · 2013
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The spectral curve of the Eynard-Orantin recursion via the Laplace transform
O. Dumitrescu, M. Mulase, B. Safnuk, and A. Sorkin · 2013
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Solvable limits of a 4D noncommutative QFT
H. Grosse and R. Wulkenhaar · 2013
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Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity
H. Grosse and R. Wulkenhaar · 2014
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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
E. Panzer · 2014
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From Perturbative to Constructive Renormalization
V. Rivasseau · 2014
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Observation of gravitational waves from a binary black hole merger
Abbott et al · 2016
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Counting Surfaces
B. Eynard · 2016
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Exact solution of matricial Φ 2 3 \Phi^{3}_{2} quantum field theory
H. Grosse, A. Sako, and R. Wulkenhaar · 2017
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H. Grosse, A. Sako, and R. Wulkenhaar · 2017
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High-precision calculation of the 4-loop contribution to the electron g-2 in QED
S. Laporta · 2017
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Noncommutative 3-colour scalar quantum field theory model in 2D
A. Hock and R. Wulkenhaar · 2018
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Lambert-W solves the noncommutative Φ 4 \Phi^{4} -model
E. Panzer and R. Wulkenhaar · 2018
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Quantum field theory on noncommutative spaces
R. Wulkenhaar · 2019
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Solution of the self-dual Φ 4 \Phi^{4} QFT-model on four-dimensional Moyal space
H. Grosse, A. Hock, and R. Wulkenhaar · 2020
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