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- Theories of the fundamental interactions
Theories of the fundamental interactions
As a driving motivation, our research activities aim to address some of the basic challenging issues presently facing us at the frontiers of the gauge theories of the fundamental quantum interactions and their matter couplings.
On the one hand, for well accepted or even established theories a solid understanding of their non-perturbative dynamics remains largely wanting. Undoubtedly, topological and geometrical properties in field space in relation to large gauge symmetries play crucial roles in this regard, to which perturbative gauge fixing procedures remain totally oblivious. A significant component of our research efforts addresses such issues within lower dimensional gauge theories from complementary non-perturbative points of view, also unraveling dualities between apparently disconnected theories.
Parallel to such studies is the pursuit of novel computational techniques and approaches towards multi-loop scattering amplitudes, on a par with studies of the mathematical structures of Feynman integrals and scattering amplitudes, relying on as many new mathematical frameworks as may be garnered and call on, with the aim to design new mathematical tools for precision computations in QFT, especially for LHC motivated precision processes. In particular, as soon as supersymmetries are involved, especially with N=4 supersymmetry in four dimensional space-time, much progress has been made over recent years and much scope for further understanding remains within reach.
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, non-commutative or fuzzy space-time geometries, and topological theories for pure quantum gravity, being applied in a variety of physical circumstances. Approached from other perspectives, attempts are being pursued as well that aim to relate gauge coupling constant sectors and electroweak flavor coupling constant sectors within new unification schemes for all interactions.
Finally, progress in non-perturbative dynamics of gauge theories has often exploited advances made in condensed matter physics. Collective phenomena in lower dimensional fermionic systems display a variety of behaviors, in particular quantum Hall systems and their recently identified generalizations with a topological understanding having been achieved over the recent years of their distinctive physical properties reminding one of holographic-like properties in theories of gravity, which may well prove relevant to non-perturbative gauge dynamics alike. Thus some part of our research activities addresses such issues as well.
On the one hand, for well accepted or even established theories a solid understanding of their non-perturbative dynamics remains largely wanting. Undoubtedly, topological and geometrical properties in field space in relation to large gauge symmetries play crucial roles in this regard, to which perturbative gauge fixing procedures remain totally oblivious. A significant component of our research efforts addresses such issues within lower dimensional gauge theories from complementary non-perturbative points of view, also unraveling dualities between apparently disconnected theories.
Parallel to such studies is the pursuit of novel computational techniques and approaches towards multi-loop scattering amplitudes, on a par with studies of the mathematical structures of Feynman integrals and scattering amplitudes, relying on as many new mathematical frameworks as may be garnered and call on, with the aim to design new mathematical tools for precision computations in QFT, especially for LHC motivated precision processes. In particular, as soon as supersymmetries are involved, especially with N=4 supersymmetry in four dimensional space-time, much progress has been made over recent years and much scope for further understanding remains within reach.
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, non-commutative or fuzzy space-time geometries, and topological theories for pure quantum gravity, being applied in a variety of physical circumstances. Approached from other perspectives, attempts are being pursued as well that aim to relate gauge coupling constant sectors and electroweak flavor coupling constant sectors within new unification schemes for all interactions.
Finally, progress in non-perturbative dynamics of gauge theories has often exploited advances made in condensed matter physics. Collective phenomena in lower dimensional fermionic systems display a variety of behaviors, in particular quantum Hall systems and their recently identified generalizations with a topological understanding having been achieved over the recent years of their distinctive physical properties reminding one of holographic-like properties in theories of gravity, which may well prove relevant to non-perturbative gauge dynamics alike. Thus some part of our research activities addresses such issues as well.
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Projects
Click the title to show project description.-
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.
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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).
Recent Publications
Click the title to show details.-
Tommaso Armadillo, Roberto Bonciani, Simone Devoto, Narayan Rana, Alessandro Vicini, May 2, 2024
Refereed paper. [Abstract] [PDF] [Local file] [Journal] [Dial] -
Céline Degrande, Matteo Maltoni, March 25, 2024
Refereed paper. [Abstract] [PDF] [Local file] [Journal] [Dial] -
Rouzbeh Allahverdi, Chiara Arina, Marco Chianese, Michele Cicoli, Fabio Maltoni, Daniele Massaro and Jacek K. Osinski, November 30, 2023
Refereed paper. [Local file] -
Blasi, Simone and Maltoni, Fabio and Mariotti, Alberto and Mimasu, Ken and Pagani, Davide and Tentori, Simone, November 27, 2023
Refereed paper. [Abstract] [PDF] [Local file] [Journal] [Dial] -
Ijaz.Ahmed, Anwar Zada, Muhammad Waqas and M. U. Ashraf, November 23, 2023
Refereed paper. [Journal] -
Ijaz Ahmed, Fazal Khaliq, M. U. Ashraf, aimoor Khurshid and Jamil Muhammad, November 23, 2023
Refereed paper. [Journal]
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Armadillo, Tommaso and Bonciani, Roberto and Devoto, Simone and Rana, Narayan and Vicini, Alessandro, May 9, 2022
Refereed paper. [Abstract] [PDF] [Local file] [Journal] [Dial] -
Jozef Ongena, Kristel Crombé and Jan Govaerts, July 8, 2021
[Local file] [Full text] -
P. Athron, N. Avis Kozar, C. Balázs, A. Beniwal, S. Bloor, T. Bringmann, J. Brod, C. Chang, J. M. Cornell, B. Farmer, A. Fowlie, T. E. Gonzalo, W. Handley, F. Kahlhoefer, A. Kvellestad, F. Mahmoudi, M. T. Prim, A. Raklev, J. J. Renk, A. Scaffidi, P. Scott, P. Stöcker, A. C. Vincent, M. White, S. Wild, J. Zupan, June 2, 2021
Refereed paper. [Abstract] [PDF] [Journal] [Dial] -
Fuks, Benjamin and Neundorf, Jonas and Peters, Krisztian and Ruiz, Richard and Saimpert, Matthias, December 16, 2020
Refereed paper. [Full text] -
Marco Drewes, December 31, 2019
[Full text] -
Jan Govaerts, Jean-François Stoffel (Editors), August 27, 2019
[Full text] -
Simone Zonetti and Jan Govaerts, February 10, 2013
Refereed paper. Contribution to proceedings. [Full text] -
Jan Govaerts and M. Norbert Hounkonnou, eds., December 2, 2008
Contribution to proceedings. [Full text] -
Jan Govaerts, M. Norbert Hounkonnou and Alfred Z. Msezane, eds., July 27, 2006
Contribution to proceedings. [Full text]