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A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space.
H. S. Snyders, Quantized space-time, Phys. Rev 71
1947
Earlier work this paper cites.
R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals, Mc Graw and Hill, New York 1965
1965
Earlier work this paper cites.
W. Zimmermann, Convergence of Bogoliubov’s method for renormalization in momentum space, Comm. Math. Phys
1969
Earlier work this paper cites.
G. ’tHooft and M. Veltman, Nucl. Phys
1972
Earlier work this paper cites.
D. Gross and F. Wilczek, Ultraviolet Behavior of Non-Abelian Gauge Theories, Phys. Rev. Lett. 30, 1343 - 1346 (1973)
1973
Earlier work this paper cites.
H. D. Politzer, Reliable Perturbative Results for Strong Interactions? Phys. Rev. Lett. 30, 1346 - 1349 (1973)
1973
Earlier work this paper cites.
D. Gross and F. Wilczek, Asymptotically Free Gauge Theories. I. Phys. Rev. D 8, 3633 - 3652 (1973)
1973
Earlier work this paper cites.
P. K. Mitter and P. H. Weisz, Asymptotic scale invariance in a massive Thirring model with U ( n ) {U}(n) symmetry, Phys. Rev
1973
Earlier work this paper cites.
K. Wilson, Renormalization group and critical phenomena, II Phase space cell analysis of critical behavior, Phys. Rev. B
1974
Earlier work this paper cites.
G. ’t Hooft, A planar diagram theory for strong interactions Nuclear Physics B, Vol. 72, p.461 (1974)
1974
Earlier work this paper cites.
D. J. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories, Phys. Rev
1974
Earlier work this paper cites.
J.P. Eckmann, J. Magnen and R. Sénéor, Decay properties and Borel summability for the Schwinger functions in P ( ϕ ) 2 P(\phi)_{2} theories, Comm. Math. Phys
1975
Earlier work this paper cites.
M. Bergère and Y.M.P. Lam, Bogoliubov-Parasiuk theorem in the α \alpha -parametric representation, Journ. Math. Phys
1976
Earlier work this paper cites.
J. Magnen and R. Sénéor, Phase space cell expansion and Borel summability for the Euclidean ϕ 3 4 \phi^{4}_{3} theory, Comm Math. Phys
1977
Earlier work this paper cites.
Academic Press, New York, 1979
B. Simon, Functionnal integration and quantum physics · 1979
Earlier work this paper cites.
C. Itzykson and J.-B. Zuber, Quantum Field Theory, McGraw Hill, 1980
1980
Earlier work this paper cites.
A. Sokal, An improvement of Watson’s theorem on Borel summability, Journ. Math. Phys. 21, 261 (1980)
1980
Earlier work this paper cites.
J. Glimm and A. Jaffe, Quantum Physics. A functional integral point of view. Mc Graw and Hill, New York, 1981
1981
Earlier work this paper cites.
C. de Calan and V. Rivasseau, Local existence of the Borel transform in Euclidean ϕ 4 4 \phi^{4}_{4} , Comm. Math. Phys
1981
Earlier work this paper cites.
J. Polchinski, Renormalization and Effective Lagrangians, Nucl. Phys
1984
Earlier work this paper cites.
K. Gawedzki and A. Kupiainen, Gross-Neveu model through convergent perturbation expansions, Comm. Math. Phys
1985
Earlier work this paper cites.
K. Gawedzki and A. Kupiainen, Massless ϕ 4 4 \phi^{4}_{4} theory: Rigorous control of a renormalizable asymptotically free model, Comm. Math. Phys
1985
Earlier work this paper cites.
A.B Zamolodchikov, JETP Letters 43, 1986, 731
1986
Earlier work this paper cites.
J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, A renormalizable field theory: the massive Gross-Neveu model in two dimensions, Comm. Math. Phys
1986
Earlier work this paper cites.
Michael Green, John H. Schwarz and Edward Witten, Superstring theory, Cambridge University Press (1987)
1987
Earlier work this paper cites.
J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, Construction of infrared ϕ 4 4 \phi^{4}_{4} by a phase space expansion, Comm. Math. Phys
1987
Earlier work this paper cites.
J. M. Gracia-Bondía and J. C. Várilly, Algebras of distributions suitable for phase space quantum mechanics. I, J. Math. Phys
1988
Earlier work this paper cites.
J. Feldman and E. Trubowitz, Perturbation Theory for Many Fermions Systems, Helv. Phys. Acta
1990
Earlier work this paper cites.
G. Benfatto and G. Gallavotti Perturbation theory of the Fermi surface in a quantum liquid. A general quasi-particle formalism and one dimensional systems, Journ. Stat. Physics
1990
Cited alongside, same era.
V. Rivasseau, From Perturbative to Constructive Renormalization, Princeton University Press, 1991
1991
Cited alongside, same era.
J. Feldman and E. Trubowitz, The Flow of an Electron-Phonon System to the Superconducting State, Helv. Phys. Acta
1991
Cited alongside, same era.
C. Itzykson and J.M Drouffe, Statistical Field Theory, Volumes 1 and 2, Cambridge University Press 1991
1991
Cited alongside, same era.
J. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, An Intrinsic 1/N Expansion for Many Fermion Systems, Europhys. Letters
1993
Cited alongside, same era.
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Oxford University Press, 2002
2002
Later among the works it cites.
E. d’Hoker and T. Phong, Two-Loop Superstrings I, Main Formulas, Phys.Lett. B529 (2002) 241-255 hep-th/0110247
2002
Later among the works it cites.
E. Langmann and R. J. Szabo, Duality in scalar field theory on noncommutative phase spaces, Phys. Lett
2002
Later among the works it cites.
Renormalization, Poincaré Seminar 2002, in Vacuum Energy – Renormalization, Birkhäuser, Ed. by B. Duplantier and V. Rivasseau, Basel, 2003,
2003
Later among the works it cites.
K. Wiese, The functional renormalization group treatment of disordered systems, a review, Ann. Henri Poincaré, Vol. 4, 473 (2003)
2003
Later among the works it cites.
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W. Metzner and C Di Castro, “Conservation Laws and correlation functions in the Luttinger liquid,” Phys. Rev. B 47
1993
Cited alongside, same era.
P. Ramond, Field Theory, Addison-Wesley, 1994
1994
Cited alongside, same era.
G. Gallavotti, Perturbation Theory, in Mathematical Physics towards the XXI century, p. 275–294, ed. R. Sen, A. Gersten, Ben Gurion University Press, Ber Sheva, 1994
1994
Cited alongside, same era.
M. Peskin and Daniel V. Schroeder (Contributor), An Introduction to Quantum Field Theory
1995
Cited alongside, same era.
G. Benfatto, G. Gallavotti, Renormalization Group, Princeton University Press, 1995
1995
Cited alongside, same era.
C. Kopper, J. Magnen, and V. Rivasseau, Mass generation in the large N Gross-Neveu model, Commun. Math. Phys
1995
Cited alongside, same era.
G. Gentile and V. Mastropietro. Methods for the Analysis of the Lindstedt Series for KAM Tori and Renormalizability in Classical Mechanics. A Review with Some Applications. Rev. Math. Phys. 8 (1996)
1996
Cited alongside, same era.
H. Grosse and R. Wulkenhaar, Renormalization of ϕ 4 \phi^{4} -theory on noncommutative ℝ 2 {\mathbb{R}}^{2} in the matrix base, JHEP
2003
Later among the works it cites.
E. Langmann, R. J. Szabo, and K. Zarembo, Exact solution of noncommutative field theory in background magnetic fields, Phys. Lett
2003
Later among the works it cites.
E. Langmann, Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n+1 dimensions, Nucl. Phys
2003
Later among the works it cites.
Progress in Mathematical Physics 30, Birkhäuser (2003), ISBN 3-7643-0579-7
V. Rivasseau, An introduction to renormalization · 2003
Later among the works it cites.
Neil J. Cornish, David N. Spergel, Glenn D. Starkman, and Eiichiro Komatsu, Constraining the Topology of the Universe. Phys. Rev. Lett. 92, 201302 (2004), astro-ph/0310233
2004
Later among the works it cites.
E. Langmann, R. J. Szabo, and K. Zarembo, Exact solution of quantum field theory on noncommutative phase spaces, JHEP
2004
Later among the works it cites.
H. Grosse and R. Wulkenhaar, The beta-function in duality-covariant noncommutative ϕ 4 \phi^{4} -theory, Eur. Phys. J
2004
Later among the works it cites.
G. Benfatto and V. Mastropietro, “Ward Identities and Vanishing of the Beta Function for d=1 Interacting Fermi Systems,” Journal of Statistical Physics, Vol. 115
2004
Later among the works it cites.
H. Grosse and R. Wulkenhaar, Power-counting theorem for non-local matrix models and renormalization, Commun. Math. Phys
2005
Later among the works it cites.
H. Grosse and R. Wulkenhaar, Renormalization of ϕ 4 \phi^{4} -theory on noncommutative ℝ 4 {\mathbb{R}}^{4} in the matrix base, Commun. Math. Phys
2005
Later among the works it cites.
G. Benfatto and V. Mastropietro, “Ward Identities and Chiral Anomaly in the Luttinger Liquid,” Commun. Math. Phys. Vol. 258
2005
Later among the works it cites.
V. Barger, Jing Jiang, Paul Langacker and Tianjun Li, Gauge Coupling Unification in the Standard Model, Phys.Lett. B624 (2005) 233-238, arXiv:hep-ph/0503226
2005
Later among the works it cites.
V. Gayral, Heat-kernel approach to UV/IR mixing on isospectral deformation manifolds, Annales Henri Poincare
2005
Later among the works it cites.
Lee Smolin, The Trouble With Physics: The Rise of String Theory, the Fall of a Science, and What Comes Next, Houghton-Mifflin, Sep. 2006
2006
Later among the works it cites.
V. Rivasseau, F. Vignes-Tourneret, and R. Wulkenhaar, Renormalization of noncommutative ϕ 4 \phi^{4} -theory by multi-scale analysis, Commun. Math. Phys
2006
Later among the works it cites.
R. Gurau, J. Magnen, V. Rivasseau and F. Vignes-Tourneret, Renormalization of non-commutative ϕ 4 4 \phi^{4}_{4} field theory in x x space, Commun. Math. Phys
2006
Later among the works it cites.
R. Gurau, V. Rivasseau, and F. Vignes-Tourneret, Propagators for noncommutative field theories, Ann. H. Poincaré
2006
Later among the works it cites.
H. Grosse and H. Steinacker, Renormalization of the noncommutative ϕ 3 \phi^{3} model through the Kontsevich model. Nucl.Phys. B746 (2006) 202-226 hep-th/0512203
2006
Later among the works it cites.
H. Grosse and H. Steinacker, A nontrivial solvable noncommutative ϕ 3 \phi^{3} model in 4 4 dimensions, JHEP 0608 (2006) 008 hep-th/0603052
2006
Later among the works it cites.
B. Duplantier, Conformal Random Geometry in Les Houches, Session LXXXIII, 2005, Mathematical Statistical Physics, A. Bovier, F. Dunlop, F. den Hollander, A. van Enter and J. Dalibard, eds., pp. 101-217, Elsevier B. V. (2006), math-ph/0608053
2006
Later among the works it cites.
Physique théorique, Université Paris 11, september, 2006, math-ph/0612014
F. Vignes-Tourneret, Renormalization des théories de champs non commutatives · 2006
Later among the works it cites.
V. Rivasseau and F. Vignes-Tourneret, Non-Commutative Renormalization, in Rigorous Quantum Field Theory
2007
Closest in time.
C. Kopper Renormalization Theory based on Flow Equations, in Rigorous Quantum Field Theory
2007
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