Publications of Raimar Wulkenhaar

Refereed Publications
Spectral geometry of the Moyal plane with harmonic propagation by Victor Gayral and Raimar Wulkenhaar, to appear in J. Noncommut. Geom., arXiv: `1108.2184 [math.OA]`.
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory by Harald Grosse and Raimar Wulkenhaar, to appear in J. Geom. Phys., arXiv: `0709.0095 [hep-th]`.
Renormalization of a noncommutative field theory by Harald Grosse and Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 27 (2012) 1250067.
Renormalizable noncommutative quantum field theory by Harald Grosse and Raimar Wulkenhaar, published in Gen. Relativ. Gravit 43 (2011) 2491-2498.
On the vacuum states for noncommutative gauge theory by Axel de Goursac, Jean-Christophe Wallet and Raimar Wulkenhaar, published in Eur. Phys. J. C 56 (2008) 293-304, arXiv: `0803.3035 [hep-th]`.
Noncommutative Induced Gauge Theory by Axel de Goursac, Jean-Christophe Wallet and Raimar Wulkenhaar, published in Eur. Phys. J. C 51 (2007) 977-987, arXiv: `hep-th/0703075`.
Quantum field theory on projective modules by Victor Gayral, Jan-Hendrik Jureit, Thomas Krajewski and Raimar Wulkenhaar, published in J. Noncommut. Geom 1 (2007) 431-496, arXiv: `hep-th/0612048`.
Noncommutative QFT and renormalization by Harald Grosse and Raimar Wulkenhaar, published in Fortschr. Phys. 54 (2006) 116-123
Field theories on deformed spaces by Raimar Wulkenhaar, published in J. Geom. Phys. 56 (2006) 108-141 (special issue `Noncommutative Geometry').
Renormalisation of noncommutative \phi^4-theory by multi-scale analysis by Vincent Rivasseau, Fabien Vignes-Tourneret and Raimar Wulkenhaar, published in Commun. Math. Phys. 262* (2006) 565-594*, arXiv: `hep-th/0501036`.
Renormalisation of scalar quantum field theory on noncommutative R^4 by Harald Grosse and Raimar Wulkenhaar, published in Fortschr. Phys. 53 (2005) 634-639.
Renormalisation of noncommutative \phi^4-theory to all orders by Raimar Wulkenhaar (joint work with Harald Grosse), published in Oberwolfach Reports 1 (2004) 2411-2413.
Renormalisation of noncommutative quantum field theories by Harald Grosse and Raimar Wulkenhaar, published in Czech J. Phys. 54 (2004) 1305-1311.
Renormalisation of \phi^4-theory on noncommutative R^4 to all orders by Harald Grosse and Raimar Wulkenhaar, published in Lett. Math. Phys. 71 (2005) 13-26, arXiv: `hep-th/0403232`.
The \beta-function in duality-covariant noncommutative \phi^4-theory by Harald Grosse and Raimar Wulkenhaar, published in Eur. Phys. J. C 35 (2004) 277-282, arXiv: `hep-th/0402093`.
Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base by Harald Grosse and Raimar Wulkenhaar, published in Commun. Math. Phys. 256* (2005) 305-374*, arXiv: `hep-th/0401128`.
Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base by Harald Grosse and Raimar Wulkenhaar, published in JHEP 12 (2003) 019, arXiv: `hep-th/0307017`.
Power-counting theorem for non-local matrix models and renormalisation by Harald Grosse and Raimar Wulkenhaar, published in Commun. Math. Phys. 254* (2005) 91-127*, arXiv: `hep-th/0305066`.
Regularisation and renormalisation of quantum field theories on noncommutative spaces by Harald Grosse and Raimar Wulkenhaar, published in J. Nonlin. Math. Phys. 11 (suppl.) (2004) 9-20.
Space/time noncommutative field theories and causality by Hidir Bozkaya, Peter Fischer, Harald Grosse, Mario Pitschmann, Volkmar Putz, Manfred Schweda and Raimar Wulkenhaar, published in Eur. Phys. J. C 29 (2003) 133-141, arXiv: `hep-th/0209253`.
Quantisation of $\theta$ -expanded non-commutative QED by Jesper Grimstrup and Raimar Wulkenhaar, published in Eur. Phys. J. C 26 (2002) 139-151, arXiv: `hep-th/0205153`.
Seiberg-Witten map for noncommutative super Yang-Mills theory by Volkmar Putz and Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 18 (2003) 3325-3334, arXiv: `hep-th/0205094`.
Non-commutative U(1) super-Yang-Mills theory: Perturbative self-energy corrections by Andreas Bichl, Martin Ertl, Andreas Gerhold, Jesper Grimstrup, Harald Grosse, Lukas Popp, Volkmar Putz, Manfred Schweda and Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 19 (2004) 4231-4249, arXiv: `hep-th/0203141`.
IR-singularities in noncommutative perturbative dynamics? by Jesper Grimstrup, Harald Grosse, Lukas Popp, Volkmar Putz, Manfred Schweda, Marlene Wickenhauser and Raimar Wulkenhaar, published in Europhys. Lett. 67 (2004) 186-190, arXiv: `hep-th/0202093`.
Non-renormalizability of $\theta$ -expanded noncommutative QED by Raimar Wulkenhaar, published in JHEP 03 (2002) 024, arXiv: `hep-th/0112248`.
Noncommutative spin-1/2 representations by Jesper Grimstrup, Harald Grosse, Elisabeth Kraus, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, published in Eur. Phys. J. C 24 (2002) 491-494, arXiv: `hep-th/0110231`.
Noncommutative Lorentz symmetry and the origin of the Seiberg-Witten map by Andreas Bichl,Jesper Grimstrup, Harald Grosse, Elisabeth Kraus, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, published in Eur. Phys. J. C 24 (2002) 165-176, arXiv: `hep-th/0108045`.
Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry by Pierre Martinetti and Raimar Wulkenhaar, published in J. Math. Phys. 43 (2002) 182-204, arXiv: `hep-th/0104108`.
Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map by Andreas Bichl, Jesper Grimstrup, Harald Grosse, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, published in JHEP 06 (2001) 013, arXiv: `hep-th/0104097`.
Perturbative analysis of the Seiberg-Witten map by Andreas Bichl, Jesper Grimstrup, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 17 (2002) 2219-2232, arXiv: `hep-th/0102044`.
The energy-momentum tensor on noncommutative spaces - some pedagogical comments by Andreas Gerhold, Jesper Grimstrup, Harald Grosse, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, published in Ukr. J. Phys. 47 (2002) 219-225, arXiv: `hep-th/0012112`.
The superfield formalism applied to the noncommutative Wess-Zumino model by Andreas Bichl, Jesper Grimstrup, Harald Grosse, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, published in JHEP 10 (2000) 046, arXiv: `hep-th/0007050`.
Slavnov-Taylor identity in noncommutative geometry by Raimar Wulkenhaar, published in Int. J. Mod. Phys. B 14 (2000) 2503-2509.
Perturbative quantum gauge fields on the noncommutative torus by Thomas Krajewski and Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 15 (2000) 1011-1029, arXiv: `hep-th/9903187`.
On Kreimer's Hopf algebra structure of Feynman graphs by Thomas Krajewski and Raimar Wulkenhaar, published in Eur. Phys. J. C 7 (1999) 697-708, arXiv: `hep-th/9805098`.
SO(10)-unification in noncommutative geometry revisited by Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 14 (1999) 559-588, arXiv: `hep-th/9804046`.
Gauge theories with graded differential Lie algebras by Raimar Wulkenhaar, published in J. Math. Phys. 40 (1999) 787-794, arXiv: `hep-th/9708071`.
Graded differential Lie algebras and SU(5)xU(1)-grand unification by Raimar Wulkenhaar, published in Int. J. Mod. Phys. A 13 (1998) 2627-2692, arXiv: `hep-th/9607237` (title: Grand unification in non-associative geometry).
Graded differential Lie algebras and model building by Raimar Wulkenhaar, published in J. Geom. Phys. 25 (1998) 305-325, arXiv: `hep-th/9607086` (title: A tour through non-associative geometry).
Noncommutative geometry with graded differential Lie algebras by Raimar Wulkenhaar, published in J. Math. Phys. 38 (1997) 3358-3390, arXiv: `hep-th/9607094` (title: The mathematical footing of non-associative geometry).
The standard model within non-associative geometry by Raimar Wulkenhaar, published in Phys. Lett. B 390* (1997) 119-127*, arXiv: `hep-th/9607096`.
Deriving the standard model from the simplest two-point K-cycle by Raimar Wulkenhaar, published in J. Math. Phys. 37 (1996) 3797-3814.
On certain graded Lie algebras arising in noncommutative geometry by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar, published in Acta Physica Polonica 27 (1996) 2755-2762.
On a certain construction of graded Lie algebras with derivation by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar, published in J. Geom. Phys. 20 (1996) 107-141.
On the structure of a differential algebra used by Connes and Lott by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar, published in Rep. Math. Phys. 38 (1996) 45-66.

Contributions to textbooks
Non-compact spectral triples with finite volume by Raimar Wulkenhaar, published in Quanta of Maths, eds. E. Blanchard, D. Ellwood, M. Khalkhali, M. Marcolli, H. Moscovici and S. Popa, Clay Math. Proc. 11 (2010) 617-648, Amer. Math. Soc., Providence, RI, (invited contribution) arXiv: `0907.1351 [hep-th]`.
Euclidean quantum field theory on commutative and noncommutative spaces by Raimar Wulkenhaar, published in Geometric and Topological Methods for Quantum Field Theory, eds. H. Ocampo, S. Paycha and A. Vargas, Lect. Notes Phys. 668, Springer-Verlag (2005) 59-100, lecture at summer school Geometric and Topological Methods for Quantum Field Theory, Villa de Leyva (Colombia), July 2003.
Introduction to Hopf algebras in renormalization and noncommutative geometry by Raimar Wulkenhaar, published in Noncommutative Geometry and the Standard Model of Elementary Particle Physics, eds. F. Scheck, H. Upmeier and W. Werner, Lect. Notes Phys. 596, Springer-Verlag (2002) 313-324, presented at workshop `The Standard Model of Elementary Particle Physics from a Mathematical-Geometrical Viewpoint', Hesselberg, March 1999 arXiv: `hep-th/9912221`.

Proceedings
Renormalizable noncommutative quantum field theory by Harald Grosse and Raimar Wulkenhaar, published in J. Phys. Conf. Ser 343 (2012) 012043, presented by Harald Grosse at 7th International Conference on Quantum Theory and Symmetries (QTS7), Prague (Czech Republic), August 2011.
Renormalisation group approach to noncommutative quantum field theory by Harald Grosse and Raimar Wulkenhaar, published in Particle Physics and the Universe, eds. J. Trampetic and J. Wess, Springer Proc. Phys. 98, Springer-Verlag (2004) 197-208, presented by Harald Grosse at 9th Adriatic Meeting, Dubrovnik (Croatia), September 2003.
Renormalisation of noncommutative scalar field theories by Harald Grosse and Raimar Wulkenhaar, published in Lie Theory and Its Applications in Physics V, eds. H.-D. Doebner and V. K. Dobrev, World Scientific (2004) 109-123, presented by Harald Grosse at 5th International Workshop `Lie Theory and Its Applications in Physics', Varna (Bulgaria), June 2003.
Quantum field theories on noncommutative $\mathbb{R}^4$ versus $\theta$ -expanded quantum field theories by Raimar Wulkenhaar, published in Lecture Notes of workshop `Theory of renormalization and regularization', Hesselberg, February 2002, arXiv: `hep-th/0206018`.
On Feynman graphs as elements of a Hopf algebra by Raimar Wulkenhaar, published in Quantum Groups, Noncommuntative Geometry and Fundamental Physical Interactions, eds D. Kastler et al, Nova Science Publishers (1999) 233-242. (invited contribution) arXiv: `hep-th/9912220`.
Gauge field theories in terms of graded differential Lie algebras by Raimar Wulkenhaar, published in Lie Theory and its Applications in Physics II, eds. V.K. Dobrev et al, World Scientific (1998) 310-321, presented at II International Workshop ``Lie Theory and its Applications in Physics'', Clausthal (Germany), August 1997.
Yang-Mills-Higgs models arising from L-cycles by Raimar Wulkenhaar, published in GROUP 21, eds. H.-D. Doebner et al, World Scientific (1997) 597-601, presented at XXI International Colloquium on Group Theoretical Methods in Physics, Goslar (Germany), July 1996.
Graded Lie algebras with derivation and model building by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar, published in Lie Theory and its Applications in Physics, eds. H.-D. Doebner et al, World Scientific (1996) 149-158, presented by Gerd Rudolph at International Workshop ``Lie Theory and its Applications in Physics'', Clausthal (Germany), August 1995.

Preprints
Progress in solving a noncommutative quantum field theory in four dimensions by Harald Grosse and Raimar Wulkenhaar, arXiv: `0909.1389 [hep-th]`.
Deformed QED via Seiberg-Witten map by Andreas Bichl, Jesper Grimstrup, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar, arXiv: `hep-th/0102103`.
Renormalization of noncommutative Yang-Mills theories: A simple example by Harald Grosse, Thomas Krajewski and Raimar Wulkenhaar, arXiv: `hep-th/0001182`.
On the Connes-Moscovici Hopf algebra associated to the diffeomorphisms of a manifold by Raimar Wulkenhaar, arXiv: `math-ph/9904009`.
Gyros as geometry of the standard model by Raimar Wulkenhaar, arXiv: `hep-th/9712183`.

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Publications of Raimar Wulkenhaar

Refereed Publications

Contributions to textbooks

Proceedings

Preprints