Harald Grosse

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Harald Grosse (born July 15, 1944 in Vienna ) is a retired Austrian associate professor for theoretical physics at the University of Vienna .

Harald Grosse

career

After graduating from high school with distinction in 1963, Grosse studied physics and mathematics at the University of Vienna and then worked at the Institute for Theoretical Physics there under Professor Walter Thirring , one of the leading international representatives of mathematical physics. He was a visiting scholar at CERN in Geneva. In 1980 he completed his habilitation at the University of Vienna and in 1986 he was appointed associate professor for theoretical physics there. In the winter semester 2000/01, Grosse held a Leibniz professorship at the University of Leipzig . In 2001 he turned down an offer for a professorship at the University of Graz . In addition to his work at the University of Vienna, Grosse also worked at the Erwin Schrödinger Institute for Mathematical Physics . Grosse retired in 2009.

plant

Grosse initially dealt with the scattering theory and the spectral theory of Schrödinger operators and later with Dirac operators . In cooperation with Walter Thirring he found a way to obtain the Coulomb S matrix algebraically. He also studied the level arrangements in potential problems and dealt with questions about the stability of matter. Through V. Glaser he became familiar with the field of integrable two-dimensional quantum field theories, whereby he demonstrated a method through the quantization of lax pairs, with the help of which Möller operators of quantum field theories can be obtained. In work on Dirac operators with F. Gesztesy and B. Thaller, the non-relativistic Limes was first clarified as the Pauli operator. Afterwards, together with Barry Simon and others, supersymmetric quantum mechanics were combined with problems of index theory. The corresponding mathematical framework led to non-commutative geometry . Through John Madore in 1992 he got to know the Fuzzy sphere . They were the first to use such “quantized manifolds” to obtain regularization procedures for quantum field theories. This method was significantly expanded, especially with P. Presnajder and C. Klimcik. Through this form of quantization of space-time, effects of quantum gravity are built in. Furthermore, questions of quantization of the topological Chern-Simons model were worked out. At first, Grosse dealt with questions about the renormalization of deformed quantum field theories. It soon turned out, however, that non-commutative quantum electrodynamics cannot be renormalized. This is due to the fact that two divergences are mixed. Here the divergences of the infrared mix with the high-energy divergences of the ultraviolet regime. However, it was possible to solve the problem of non-renormalizability by taking an additional operator into account. The resulting model turns out to be renormalizable and shows a nontrivial fixed point at which the beta function disappears. The model is also asymptotically safe. The model was recently successfully solved in a suitable limes. The correlation functions are given by solving integral equations. Quantum field theories are generally not localizable on quantized spacetime. Nevertheless, Grosse and G. Lechner found a way to localize models on quantized spacetime with a so-called wedge locality.

Prizes and awards

In 1981, Grosse received the Ludwig Boltzmann Prize from the Austrian Physical Society .

Fonts

  • Models in statistiscal physics and quantum field theory , Springer Verlag 1988 (Trieste notes in physics)
  • with André Martin Particle physics and the Schrödinger equation , Cambridge University Press 1997

Individual evidence

  1. ^ Inaugural lecture by the 13th Leibniz professor: Symmetry and Symmetry Breaking in Physics , press release from the University of Leipzig
  2. ^ University of Vienna, retirements 2009
  3. ↑ H. Grosse et al., Algebraic Theory of Coulomb Scattering , Acta Physica Austriaca 40, 97-103 (1974).
  4. ↑ H. Grosse, A. Martin, The laplacian of the potential and the order of energy levels , Physics Letters B Volume 146, 1984, pages 363-366.
  5. ^ H. Grosse, V. Glaser and A. Martin, Bounds on the number of eigenvalues ​​of the Schrödinger operator , Comm. Math. Phys. 59 (1978) 197.
  6. ^ H. Grosse, On the construction of Möller operators for the nonlinear Schrödinger equation , Physics Letters B, Volume 86, 1979, pages 267-271.
  7. ↑ F. Gesztesy, H. Grosse and B. Thaller, Efficient method for calculating relativistic corrections for spin-1/2 particles , in: Physical Review Letters 50, 625-628 (1983).
  8. ↑ D. Bolle, F. Gesztesy, H. Grosse, W. Schweiger, and B. Simon, Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics , J. Math. Phys. 28: 1512-1525 (1987).
  9. ↑ H. Grosse, W. Maderner, C. Reitberger, Schwinger terms and cyclic cohomology for massive 1 + 1-dimensional fermions and Virasoro algebras , J.Math.Phys. 34: 4469-4477 (1993).
  10. ^ H. Grosse, J. Madore, A Noncommutative version of the Schwinger model , Phys. Lett. B283, 218-222, (1992).
  11. ↑ H. Grosse, C. Klimcik, P. Presnajder, Towards finite quantum field theory in noncommutative geometry , Int. J. Theor. Phys. 35, (1996), 231-244.
  12. ↑ H. Grosse, C. Klimcik, P. Presnajder, Field theory on a supersymmetric lattice , Commun. Math. Phys. 185 (1997) 155-175.
  13. ↑ H. Grosse, C. Klimcik, P. Presnajder, Topologically nontrivial field configurations in noncommutative geometry , Commun. Math. Phys. 178 (1996) 507-526.
  14. ↑ H. Grosse, C. Klimcik, P. Presnajder, On finite 4-D quantum field theory in noncommutative geometry , Commun. Math. Phys. 180 (1996) 429-438.
  15. ↑ A. Yu. Alekseev, H. Grosse, V. Schomerus, Combinatorial quantization of the Hamiltonian Chern-Simons theory I , Commun.Math.Phys. 172 (1995) 317-358.
  16. ↑ A. Yu. Alekseev, H. Grosse, V. Schomerus, Combinatorial Quantization of the Hamiltonian Chern-Simons Theory II , Commun.Math.Phys. 174 (1995) 561-604.
  17. ↑ A. Bichl, J. Grimstrup, H. Grosse, L. Popp, M. Schweda, R. Wulkenhaar, Renormalization of the noncommutative photon selfenergy to all orders via Seiberg-Witten map , JHEP 0106 (2001) 013.
  18. ↑ H. Grosse, R. Wulkenhaar, Renormalization of phi ** 4 theory on noncommutative R ** 2 in the matrix base , JHEP 0312 (2003) 019.
  19. ↑ H. Grosse, R. Wulkenhaar, renormalization of $ \ Phi ^ 4 $ -theory on Noncommutative $ R ^ 4 $ in the matrix base , Commun. Math. Phys. 256: 305-374, 2005.
  20. ↑ H. Grosse, R. Wulkenhaar, The β-function in duality-covariant Noncommutative $ \ Phi ^ 4 $ -theory , Eur. Phys. J. C35 (2004) 277-282.
  21. ↑ H. Grosse, R. Wulkenhaar, self-dual Noncommutative $ \ Phi ^ 4 $ -theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory , CMP accepted.
  22. ^ H. Grosse, G. Lechner, Noncommutative Deformations of Wightman Quantum Field Theories , JHEP 0809: 131, 2008.

Web links

personal data
SURNAME Grosse, Harald
BRIEF DESCRIPTION Austrian physicist and professor at the University of Vienna
DATE OF BIRTH July 15, 1944
PLACE OF BIRTH Vienna