My research focuses on quantum gravity (mostly asymptotic safety).
A main research goal of mine is to establish a bridge between quantum gravity and particle physics. This can provide a way to test quantum gravity. As an example, I have recently shown, in collaboration with P. Dona and R. Percacci, that not all matter models are consistent with asymptotically safe quantum gravity.
Further, quantum gravity could provide a solution to questions of the standard model at high energies: For instance, conventional bounds on the Higgs mass can be relaxed, if (quantum-gravity induced) higher order operators are considered in the Higgs potential.
A second main aspect of my work in quantum gravity is the development of Renormalization Group tools for different quantum gravity models. Together with T. Koslowski, I have developed a Renormalization Group equation that can be used to search for the continuum limit in discrete models of spacetime, such as matrix and tensor models.
I have also worked on the question of dimensional flow in different quantum gravity models: Most recently, I have, together with S. Mizera, shown that there is a dimensional increase of the spectral dimension in causal set quantum gravity.
More recently, I've also become interested in systems that have phase diagrams which are governed by competing order parameters, and can show multicritical points. Together with D. Mesterhazy and M. Scherer, I have applied the Functional RG to the study of such systems with two or more competing order parameters.
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The International Seminar on Asymptotic Safety:
If you're interested in the International Seminar on Asymptotic Safety (held via skype), please send me an email.
Details on the seminar, and slides of the previous talks can be found at Roberto Percacci's webpage.
FAQs on asymptotic safety can be found here.
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Renormalization Group approaches to quantum gravity (2014):
All talks from this meeting can be found here.
All talks from the "Experimental search for quantum gravity - the hard facts" conference (Oct. 2012) can be found in PIRSA.
The titles and abstracts of talks are also available at this location.