Contact

**Name**

Jan Govaerts

**Position**

Academic staff

**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

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**

Teaching

**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)

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)

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)

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)

LPHY1311 (37.5h + 15h)

**Quantum Field Theory II**

Introduction to quantisation, perturbation theory and renormalisation in relativistic quantum field theories

LPHY2122 (30h)

LPHY2122 (30h)

**Electroweak Interactions**

Introduction to the Standard Model of the Electroweak interactions

LPHY2224 (22.5h; shared with F. Maltoni)

LPHY2224 (22.5h; shared with F. Maltoni)

**Thesis Tutorial**

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

People responsibilities

**PhD students**

**Clémentine Dassy**(UCL-assistants) (member since September 2020)

I'm working on trajectories of charged particles in electromagnetic knots in vacuum. The next step is to translate these electromagnetic knots into gravitational knots to understand the discrepancy between the theoretical and the observed velocity curves of galaxies.

**Former members**

People Responsibilities outside CP3

Ph.D. Students

Research statement

- 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.

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.

Projects

**Research directions:**

Cosmology and General Relativity

Theories of the fundamental interactions

Data analysis in HEP and GW experiments

Theories of the fundamental interactions

Data analysis in HEP and GW experiments

**Experiments and collaborations:**

**Active projects**

*Jan Govaerts*

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**

*Jan Govaerts*

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**

*Jan Govaerts*

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.

*Jan Govaerts*

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**

*Jan Govaerts*

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

**Topology and Non-Perturbative Gauge Dynamics**

*Jan Govaerts*

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.

**Non-active projects**

Internatonial Collaborations

- 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)

Publications in CP3

All my publications on Inspire

Number of publications as CP3 member: 46 Download BibTeX

[Full text]

Book published by Springer (Heidelberg, 2019), 14+257 pp.

August 27.

[Abstract] [PDF] [Journal] [Dial] [Full text]

Published in the Proceedings volume of the Victor Villanueva Memorial Workshop,

https://iopscience.iop.org/issue/1742-6596/1208/1 ,

Morelia, Mexico, December 6, 2013, Adnan Bashir and Christian Schubert (eds.),

J. Phys. Conf. Ser. 1208 (2019) no. 1, 012011.

Refereed paper. Contribution to proceedings. June 29.

[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. June 27.

Number of publications as CP3 member: 46 Download BibTeX

**Last 5 publications****2019**

CP3-19-42:

**Learning the Physics of Einstein with Georges Lemaître***Jan Govaerts, Jean-François Stoffel (Editors)*

[Full text]

Book published by Springer (Heidelberg, 2019), 14+257 pp.

August 27.

CP3-19-33:

**Time Dependent Conserved Charges and their Gauging -- A Modest Case Study in Shared Memory of Victor --***Jan Govaerts*

[Abstract] [PDF] [Journal] [Dial] [Full text]

Published in the Proceedings volume of the Victor Villanueva Memorial Workshop,

https://iopscience.iop.org/issue/1742-6596/1208/1 ,

Morelia, Mexico, December 6, 2013, Adnan Bashir and Christian Schubert (eds.),

J. Phys. Conf. Ser. 1208 (2019) no. 1, 012011.

Refereed paper. Contribution to proceedings. June 29.

**2018**

CP3-18-39:

**Towards the Quantum Geometry of Saturated Quantum Uncertainty Relations: The Case of the (Q,P) Heisenberg Observables***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. June 27.

**More publications**