PUBLICATIONS

My publications are also available on the preprint server inspire-hep.

Peer reviewed articles:

  1. J. Aastrup and J. M. Grimstrup, “The Metric Nature of Matter”, arXiv:2008.09356, J.Geom.Phys. 171 (2022) 104408.
  2. J. Aastrup and J. M. Grimstrup, “Non-perturbative Quantum Field Theory and the Geometry of Functional Spaces”, Fortsch.Phys. 69 (2021) no. 10, 2100106.
  3. J. Aastrup, J. M. Grimstrup, “Nonperturbative Quantum Field Theory and Noncommutative Geometry”. arXiv:1712.05930. J.Geom.Phys. 145 (2019) 103466.
  4. J. Aastrup, J. M. Grimstrup, “On Representations of the Quantum Holonomy Diffeomorphism Algebra”.  arXiv:1709.02943 . Fortsch.Phys. 67 (2019) no.4, 1800080.
  5. J. Aastrup, J. M. Grimstrup, “Quantum Holonomy Theory and Hilbert Space Representations.” arXiv:1604.06319. Fortschr. Phys. 64 (2016), Issue 11-12, p 903–908.
  6. J. Aastrup, J. M. Grimstrup, “On a Lattice-Independent Formulation of Quantum Holonomy Theory”. arXiv:1602.06436. Class.Quant.Grav. 33 (2016) no.21, 215002.
  7. J. Aastrup, J. M. Grimstrup, “Quantum Holonomy Theory”, (2016), Fortschr. Phys. 64 (2016), Issue 10, p 783–818.
  8.  J. Aastrup, J. M. Grimstrup, “The Quantum Holonomy-Diffeomorphism Algebra & Quantum Gravity”. arXiv: 1404.1500. IJMPA’s Volume No.31, Issue No. 10 (2016).
  9.  J. Aastrup and J. M. Grimstrup, “C*-algebras of Holonomy-Diffeomorphisms and Quantum Gravity I”. arXiv:1209.5060. Class.Quant.Grav. 30 (2013) 085016.
  10.  J. Aastrup and J. M. Grimstrup,  “C*-algebras of Holonomy-Diffeomorphisms and Quantum Gravity II”, arXiv:1209.5057. J.Geom.Phys. 99 (2016) 10-19.
  11.  J. Aastrup and J. M. Grimstrup, “Intersecting Quantum Gravity with Noncommutative Geometry – a Review”, SIGMA 8 (2012) 018.
  12.  J. Aastrup and J. M. Grimstrup, “From Quantum Gravity to Quantum Field Theory via Noncommutative Geometry”, arXiv:1105.0194. Class. Quantum Grav. 31 (2014) 035018.
  13. J. Aastrup, J. M. Grimstrup and M. Paschke, “Quantum Gravity coupled to Matter via Noncommutative Geometry”, Class.Quant.Grav. 28:075014, 2011.
  14. J. Aastrup, J. M. Grimstrup, M. Paschke and R. Nest, “On Semi-Classical States of Quantum Gravity and Noncommutative Geometry”, Commun.Math.Phys. 302:675-696, 2011.
  15. J. Aastrup, J. M. Grimstrup and R. Nest, “Holonomy Loops, Spectral Triples & Quantum Gravity”. published in Class. Quant. Grav. 26 (2009) 165001.
  16.  J. Aastrup, J. M. Grimstrup and R. Nest, “A new spectral triple over a space of connections”, published in Commun. Math. Phys.  290 (2009) 389.
  17.  J. Aastrup, J. M. Grimstrup and R. Nest, “On Spectral Triples in Quantum Gravity I”, published in Class. Quant. Grav. 26 (2009) 065011.
  18.  J. Aastrup, J. M. Grimstrup and R. Nest, “On Spectral Triples in Quantum Gravity II”, published in J. Noncommut. Geom. 3 (2009) 47.
  19. J. Aastrup and J. M. Grimstrup, “Intersecting Connes noncommutative geometry with quantum gravity”, published in Int. J. Mod. Phys. A 22 (2007) 1589.
  20.  J. Aastrup and J. M. Grimstrup, “Spectral triples of holonomy loops”, published in Commun. Math. Phys. 264 (2006) 657.
  21. J. M. Grimstrup, T. Jonsson and L. Thorlacius, “The Seiberg-Witten map on the fuzzy sphere”, published in JHEP 0312 (2003) 001.
  22. J. M. Grimstrup, “Noncommutative Coordinate Transformations and the Seiberg-Witten Map”, published in Acta Physica Polonica B, Vol. 34 (2003).
  23. J. M. Grimstrup, B. Kloibock, L. Popp, V. Putz, M. Schweda and M. Wickenhauser, “The energy-momentum tensor in noncommutative gauge field models”, published in Int.J. Mod. Phys. A. 19:5615-5624, 2004.
  24. J. M. Grimstrup and R. Wulkenhaar, “Quantisation of theta-expanded non-commutative QED”, published in Eur. Phys. J. C 26 (2002) 139.
  25. A.A.Bichl, M. Ertl, A. Gerhold, J. M. Grimstrup, H. Grosse, L.Popp, V. Putz, M. Schweda, R. Wulkenhaar, “Non-commutative U(1) super-Yang-Mills theory: Perturbative self-energy corrections”, published in Int. J. Mod. Phys. A 19 (2004) 4231.
  26. F. Gieres, J. M. Grimstrup, H. Nieder, T. Pisar and M. Schweda, “Symmetries of topological field theories in the BV-framework”, published in Phys. Rev. D 66 (2002) 025027.
  27. J. M. Grimstrup, H. Grosse, E. Kraus, L. Popp, M. Schweda and R. Wulkenhaar, “Noncommutative spin-1/2 representations”, published in Eur. Phys. J. C 24 (2002) 491
  28. A. A. Bichl, J. M. Grimstrup, H. Grosse, E. Kraus, L. Popp, M. Schweda and R. Wulkenhaar, “Noncommutative Lorentz symmetry and the origin of the Seiberg-Witten  map”, published in Eur. Phys. J. C 24 (2002) 165
  29. A. A. Bichl, J. M. Grimstrup, H. Grosse, L. Popp, M. Schweda and R. Wulkenhaar, “Renormalization of the noncommutative photon self-energy to all orders  via Seiberg-Witten map”, published in JHEP 0106 (2001) 013.
  30.   A. A. Bichl, J. M. Grimstrup, L. Popp, M. Schweda and R. Wulkenhaar, “Perturbative analysis of the Seiberg-Witten map”. published in  Int. J. Mod. Phys. A 17 (2002) 2219.
  31. A. A. Bichl, J. M. Grimstrup, H. Grosse, L. Popp, M. Schweda and R. Wulkenhaar, “The superfield formalism applied to the noncommutative Wess-Zumino  model”, published in JHEP 0010 (2000) 046.
  32. A. A. Bichl, J. M. Grimstrup, V. Putz and M. Schweda, “Perturbative Chern-Simons theory on noncommutative R3”, published in  JHEP 0007 (2000) 046.
  33. F. Gieres, J. M. Grimstrup, T. Pisar and M. Schweda, “Vector supersymmetry in topological field theories”, published in JHEP 0006 (2000) 018.
  34. O. M. Del Cima, J. M. Grimstrup and M. Schweda, “On the finiteness of a new topological model in D = 3”, published in Phys. Lett. B 463 (1999) 48.

Proceedings:

  1. J. M. Grimstrup, “Quantization of Noncommutative Field Theories”, published in Ukr. J. Phys. 47 (2002) 226-229.
  2. A. Gerhold, J. M. Grimstrup, H. Grosse, L. Popp, M. Schweda and R. Wulkenhaar, “The energy-momentum tensor on noncommutative spaces – some pedagogical comments”, published in Ukr. J. Phys. 47 (2002) 219-225.

Preprints:

  1. J. Aastrup and J. M. Grimstrup, “Constructing spectral triples over holonomy-diffeomorphisms and the problem of reconciling general relativity with quantum field theory”, arXiv:2309.06374.
  2. J. Aastrup and J. M. Grimstrup, “On the Fermionic Sector of Quantum Holonomy Theory”,  arXiv:1810.001.
  3. J. Aastrup and J. M. Grimstrup, “Quantum Gravity and the Emergence of Matter”, arXiv:1709.02941.
  4. J. Aastrup and J. M. Grimstrup, “Representations of the Quantum Holonomy-Diffeomorphism Algebra”, arXiv:1709.02943.
  5. J. Aastrup, J. M. Grimstrup and M. Paschke, “On a Derivation of the Dirac Hamiltonian From a Construction of Quantum Gravity”, arXiv:1003.3802.
  6. J. Aastrup and J.M. Grimstrup, “Lattice Loop Quantum Gravity”, arXiv:0911.4141.
  7. J. Aastrup, J. M. Grimstrup and M. Paschke, “Emergent Dirac Hamiltonians in Quantum Gravity”,  arXiv:0911.2404.
  8. J. M. Grimstrup, H. Grosse, L. Popp, V. Putz, M. Schweda, M. Wickenhauser and R. Wulkenhaar, “IR-singularities in noncommutative perturbative dynamics?”, arXiv:hep-th/0202093.
  9. I. Fruhwirth, J. M. Grimstrup, Z. Morsli, L. Popp and M. Schweda, “The role of the field redefinition in noncommutative Maxwell theory”, arXiv:hep-th/0202092.
  10. A. A. Bichl, J. M. Grimstrup, L. Popp, M. Schweda and R. Wulkenhaar, “Deformed QED via Seiberg-Witten map”, arXiv:hep-th/0102103.

Popular:

  1. J. M. Grimstrup “Shell Beach – the search for the final theory“, Amazon, 276 pages, January 2021.
  2. J. M. Grimstrup “Standardmodellen for Partikelfysik og Ikke-kommutativ Geometri” Kvant, June 2019.
  3. J. M. Grimstrup “Shell Beach – jagten på den endelige teori“, forlaget Montagne, 256 pages, May 2019.
  4. J. M. Grimstrup, “The possible emptiness of a final theory“, CQG+, Nov. 28, 2016.