D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 46 Citations 8,016 179 World Ranking 981 National Ranking 16

Research.com Recognitions

Awards & Achievements

1981 - Ludwig Boltzmann Prize, Austrian Physical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Quantum field theory
  • Algebra

His primary areas of investigation include Mathematical physics, Noncommutative geometry, Quantum mechanics, Noncommutative quantum field theory and Renormalization. His Mathematical physics study incorporates themes from Function, Lattice and Quantization. Harald Grosse interconnects Propagator, Matrix, Scalar field and Flow in the investigation of issues within Noncommutative geometry.

His biological study spans a wide range of topics, including Effective action and Scalar. The subject of his Noncommutative quantum field theory research is within the realm of Algebra. His work investigates the relationship between Renormalization and topics such as Self-energy that intersect with problems in Fermion.

His most cited work include:

  • Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base (453 citations)
  • Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base (424 citations)
  • Finite quantum field theory in noncommutative geometry (222 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Mathematical physics, Noncommutative geometry, Quantum mechanics, Noncommutative quantum field theory and Quantum field theory. In his study, which falls under the umbrella issue of Mathematical physics, Exact solutions in general relativity is strongly linked to Space. His studies deal with areas such as Field, Matrix, Commutative property and Limit as well as Noncommutative geometry.

His study in the field of Supersymmetric gauge theory, Fermion and Coulomb is also linked to topics like Complex system. His study in Quantum field theory is interdisciplinary in nature, drawing from both Scalar field, Theoretical physics, Regularization and Scalar. He combines subjects such as Quantum electrodynamics, Scalar field theory and Photon with his study of Gauge theory.

He most often published in these fields:

  • Mathematical physics (54.09%)
  • Noncommutative geometry (33.64%)
  • Quantum mechanics (29.09%)

What were the highlights of his more recent work (between 2007-2020)?

  • Mathematical physics (54.09%)
  • Noncommutative geometry (33.64%)
  • Quantum field theory (16.82%)

In recent papers he was focusing on the following fields of study:

Harald Grosse mostly deals with Mathematical physics, Noncommutative geometry, Quantum field theory, Space and Noncommutative quantum field theory. His Mathematical physics research incorporates elements of Function, Integral equation and Quantum mechanics, Coupling constant. Harald Grosse does research in Noncommutative geometry, focusing on Fuzzy sphere specifically.

His Quantum field theory research incorporates themes from Scalar field, Commutative property, Theoretical physics and Limit. The Space study combines topics in areas such as Invariant, Renormalization group and Exact solutions in general relativity. His work focuses on many connections between Noncommutative quantum field theory and other disciplines, such as Functional renormalization group, that overlap with his field of interest in Ultraviolet fixed point, Regularization and Asymptotic safety in quantum gravity.

Between 2007 and 2020, his most popular works were:

  • 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory (72 citations)
  • Progress in solving a noncommutative quantum field theory in four dimensions (54 citations)
  • Noncommutative gauge theory and symmetry breaking in matrix models (49 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Quantum field theory
  • Algebra

The scientist’s investigation covers issues in Mathematical physics, Noncommutative geometry, Quantum mechanics, Quantum field theory and Space. His work on Noncommutative quantum field theory as part of general Mathematical physics study is frequently linked to Moyal bracket, therefore connecting diverse disciplines of science. Within one scientific family, Harald Grosse focuses on topics pertaining to Diagonal matrix under Noncommutative quantum field theory, and may sometimes address concerns connected to Invariant.

His Noncommutative geometry study integrates concerns from other disciplines, such as Integral equation, Mathematical analysis, Correlation function, Function and Field theory. In Quantum field theory, he works on issues like Scalar field, which are connected to Bergman kernel, Quantization, Coherent states and Bergman space. Simplicity, Theoretical physics and Renormalization is closely connected to Minkowski space in his research, which is encompassed under the umbrella topic of Space.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base

Harald Grosse;Raimar Wulkenhaar.
arXiv: High Energy Physics - Theory (2004)

716 Citations

Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base

Harald Grosse;Raimar Wulkenhaar.
arXiv: High Energy Physics - Theory (2004)

716 Citations

Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base

Harald Grosse;Raimar Wulkenhaar.
Communications in Mathematical Physics (2005)

681 Citations

Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base

Harald Grosse;Raimar Wulkenhaar.
Communications in Mathematical Physics (2005)

681 Citations

Finite quantum field theory in noncommutative geometry

H. Grosse;C. Klimčík;P. Prešnajder.
International Journal of Theoretical Physics (1996)

356 Citations

Finite quantum field theory in noncommutative geometry

H. Grosse;C. Klimčík;P. Prešnajder.
International Journal of Theoretical Physics (1996)

356 Citations

Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base

Harald Grosse;Raimar Wulkenhaar.
arXiv: High Energy Physics - Theory (2003)

331 Citations

Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base

Harald Grosse;Raimar Wulkenhaar.
arXiv: High Energy Physics - Theory (2003)

331 Citations

The eta-function in duality-covariant noncommutative \phi^4-theory

Harald Grosse;Raimar Wulkenhaar.
arXiv: High Energy Physics - Theory (2004)

243 Citations

The eta-function in duality-covariant noncommutative \phi^4-theory

Harald Grosse;Raimar Wulkenhaar.
arXiv: High Energy Physics - Theory (2004)

243 Citations

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