- Name
- Jan Govaerts

- Position
- Professor

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- Address
- Centre for Cosmology, Particle Physics and Phenomenology - CP3

Université catholique de Louvain

2, Chemin du Cyclotron - Box L7.01.05

B-1348 Louvain-la-Neuve

Belgium

- Phone
- +32 10 4
**7 3226**

- Office

- UCL member card

- Physique générale 1
- Formation aux principes de base de la mécanique de Newton et de la relativité restreinte

LPHY1111 (45h + 45h; shared with V. Lemaître)

- Physique générale 2
- Formation aux principes de base des lois de l'électricité et du magnétisme

LPHY1112 (45h + 45h; shared with V. Lemaître)

- Physique générale 3
- Poursuit la formation en physique générale des cours LPHY1111 et LPHY1112,

pour la physique des ondes, les phénomènes ondulatoires classiques et l'optique

LPHY1211 (30h + 30h; shared with V. Lemaître)

- Electromagnétisme classique
- Cours approfondi portant sur l'électromagnétisme, les équations de Maxwell et leurs méthodes mathématiques

LPHY1311 (37.5h + 15h)

- Quantum Field Theory II
- Introduction to quantisation, perturbation theory and renormalisation in relativistic quantum field theories

LPHY2122 (30h)

- Electroweak Interactions
- Introduction to the Standard Model of the Electroweak interactions

LPHY2224 (22.5h; shared with F. Maltoni)

- Thesis Tutorial
- PHY2998 (15h; in collaboration with Mrs Annick Mercier-Sonck)

- PhD students

- Master students
- Gaël Van Dieren,Exploring the Cartan formulation of de Sitter geometry: from topological gauge field theory to gravity.

- Nonperturbative gauge dynamics, geometry and topology

- Noncommutative, fuzzy and quantum geometries, and quantum gravitation

- Particle physics and the unifications of all fundamental quantum interactions inclusive of gravity

- Collective quantum phenomena in condensed matter physics (superconductivity)

- Theoretical and mathematical physics

- As a driving motivation, our research activities aim to address some of the basic issues remaining open in the present day gauge theories of the fundamental quantum interactions and their matter couplings.

On the one hand, for well accepted theories a solid understanding of their nonperturbative dynamics remains largely wanting. Undoubtedly, topological and geometrical properties in field space in relation to large gauge symmetries play crucial roles in this respect, to which perturbative gauge fixing procedures remain totally oblivious. A significant component of our research efforts addresses such issues within lower dimensional gauge theories or abelian gauge theories from complementary nonperturbative points of view, also unravelling dualities between apparently disconnected theories.

On the other hand, present day gauge theories of the fundamental quantum interactions present their own challenges pointing towards new fundamental conceptual paradigms beyond quantum physics and gravity. Some of the exploratory paths being trodden are deformations of quantum mechanics, noncommutative or fuzzy spacetime geometries, and topological theories for pure quantum gravity, being applied in a variety of physical circumstances.

Yet in relation to the above, some interests in particle phenomenology are also being pursued, mostly centered on the electromagnetic properties of neutrinos in as many varied physical contexts as possible.

Finally, progress in nonperturbative dynamics of gauge theories has often exploited advances made in condensed matter physics.Collective phenomena in lower dimensional fermionic systems display a variety of behaviours, remaining also largely not yet understood, which may well prove relevant to nonperturbative gauge dynamics alike. Hence a modest part of research activities addresses such issues as well, in particular within the context of the different phenomena of superconductivity.

- I am involved in the following research direction:

#### Integrable quantum dynamics, Klauder-Daubechies deformations and noncommutative geometric structures.

Combining complementary approaches to quantisation, exploration of integrability issues in quantum dynamics and noncommutative geometric structures

External collaborators: M. Norbert Hounkonnou (ICMPA-UNESCO Chair, UAC, Benin) Calvin Matondo Bwayi (UNIKIN, DRC).

#### Non-commutative quantum dynamics and supersymmetry

Extensions to the supersymmetric context of the Moyal non-commutative plane are being considered from different perspectives.

#### Non-perturbative dynamics of QED in low dimensions

By emphasizing the relevance of topology in nonperturbative gauge dynamics in the presence of nontrivial space(time) topology, develop gauge invariant physical tools to approach the nonperturbative dynamics of such systems in approximation schemes. In an initial study, QED in lower dimensions is considered in detail.

#### Nonperturbative quantisation of gauge theories, noncommutative geometry and unification of the fundamental interactions

Development of nonperturbative quantisation techniques of gauge theories (Yang-Mills, topological, gravity) and their application to particle physics and quantum field theory at finite temperature (in particular, within the context of superconductivity).

Exploration of the consequences of noncommutative geometry in the search for the unification of the fundamental interactions (M-theory and superstrings, quantum gravity).

External collaborators: Frederik Scholtz (National Institute for Theoretical Physics, NITheP, South Africa); Hendrik Geyer (Stellenbosch Institute for Advanced Study, STIAS; University of Stellenbosch, South Africa); M. Norbert Hounkonnou (International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, Benin); Calvin Matondo Bwayi (University of Kinshasa, Kinshasa, Democratic Republic of Congo); Habatwa Mweene (University of Zambia, Lusaka, Zambia); John R. Klauder (University of Florida, Gainesville, USA); Peter Jarvis (University of Tasmania, Hobart, Australia).

#### Quantum Gravity and the Cosmological Constant

Quantum diffeomorphic gauge invariance and the total cosmological constant, inclusive of the quantum fluctuations of the gravitational field

#### Topology and Non-Perturbative Gauge Dynamics

The connections between topology in space(time) and in field configuration space and the non-perturbative dynamics of general gauge theories, inclusive of mass generating mechanims, are being studied.

Show past projects.

- National Institute for Theoretical Physics (NITheP, South Africa)

- Stellenbosch Institute for Advanced Study (STIAS, South Africa), Fellow

- University of Stellenbosch (South Africa)

- African Institute for Mathematical Sciences (AIMS, South Africa)

- International Chair in Mathematical Physics and Applications (ICMPA-UNESCO, Benin), ICTP Visiting Professor

- University of Kinshasa (Kinshasa, Democratic Republic of Congo)

- University of Zambia (Lusaka, Zambia)

- University of Florida (Gainesville, USA)

- University of New South Wales (Sydney, Australia)

- University of Tasmania (Hobart, Australia)

#### 2018

*Bertrand, Bruno and Govaerts, Jan*

[Abstract] [PDF] Submitted to the Journal of Physics A: Mathematical and Theoretical

Refereed paper. 27th June.

*Jan Govaerts*

[Abstract] [PDF] [Full text] In "Mathematical Structures and Applications", Proceedings of the International Workshop on Contemporary Problems in Mathematical Physics (COPROMAPH), October 2016 (Cotonou, Republic of Benin), eds. Toka Diagana and Bourama Toni (Springer, Switzerland, 2018) pp. 235-273.

Refereed paper. Contribution to proceedings. 27th June.

#### 2014

*R. Prieels, O. Naviliat-Cuncic, P. Knowles, P. Van Hove, X. Morelle, J. Egger, J. Deutsch, J. Govaerts, W. Fetscher, K. Kirch, and J. Lang*

[Abstract] [PDF] [Journal] [Full text] 15 pages, 16 figures, 3 tables, published in Phys. Rev. D90 (2014) 112003 (15 pages)

Refereed paper. 8th August.

*Fanuel, Michaël and Govaerts, Jan*

[Abstract] [PDF] [Journal] Preprint ICMPA-MPA/017/2014, published in J. Phys. A: Math. Theor. 47 (2014) 405401 (39 pages)

Refereed paper. 26th May.

*Fanuel, Michaël and Govaerts, Jan and Avossevou, Gabriel Y. H. and Dossa, Anselme F.*

[Abstract] [PDF] [Journal] Preprint ICMPA-MPA/018/2014, published in J. Phys. A: Math. Theor. 47 (2014) 465401 (10 pages)

Refereed paper. 21st May.