Our group is part of several research networks and cooperations. Amongst them are:

KMPB Berlin - Kolleg Mathematik und Physik Berlin

The Kolleg Mathematik Physik Berlin is an interdisciplinary centre at Humboldt University Berlin. Its community of research groups shares a mutual interest in Mathematics and Physics. Quantum field theory is their unifying theme, which connects to algebraic geometry, number theory and differential geometry in mathematics, as well as to research in particle physics, gravitation and string theory in physics.

More information: KMPBerlin-Website.

Matters of Activity (MOA)

The Cluster of Excellence will explore materials’ own inner activity, which can be discovered as a new source of innovative strategies and mechanisms for rethinking the relationship between the analog and the digital and for designing more sustainable and energy-efficient technologies.

More information: MOA-Website.

IRIS Adlershof (Integrative Research Institute for the Sciences)

IRIS Adlershof is the prototype of an Integrative Research Institute (IRI), a new research format at Humboldt University for the establishment of excellent conditions for cutting-edge research. It has at its disposal elements of a research institute, a development laboratory, and an institute for advanced studies. In addition, it interlinks the Humboldt University with relevant non-university research organizations and innovative enterprises.
IRIS Adlershof uses an interdisciplinary approach in order to study novel hybrid materials and functional systems with previously inaccessible optical, electronic and chemical properties. Connected to this are fundamental investigations regarding structure and dynamics of matter at extreme scales of length and time, as well as in complex systems. Another important area of research within IRIS is the field of mathematical physics.

Weitere Information: IRIS-Website.

RTG 2575 Rethinking Quantum Field Theory

Quantum field theory (QFT) is the framework within which fundamental physics is formulated. It provides an extremely powerful set of methods to compute observables emerging from the interactions of elementary particles at highest energies. It has led to the most spectacular agreement between theoretical predictions and observations performed with the most sophisticated experiments that mankind has ever conducted. It provides deep insights into the nature of our universe and allows us to study alternative possible and self-consistent universes. At the same time its foundations remain a subject of present day research. It isgenerally believed that Poincaré symmetry (plus possible extensions such as conformal and/or supersymmetry), locality and internal gauge symmetries constitute fundamental structures. The traditional approach to QFT starts out from a classical action formulation, reflecting the underlying symmetries and chosen field contents in the given space-time dimension. This classical theory is then quantized, most efficiently by using Feynman’s path integral formalism. In a perturbative setting this provides the traditional route for arriving at the Feynman diagrammatic expansion, allowing for the perturbative computation of a multitude of possible observables – at least in principle. Employing a lattice discretization of space-time yields a non-perturbative definition of the path integral, allowing us to study observables not accessible by perturbative QFT. Clearly, symmetries play a constitutional rôle in the formulation of QFTs. Studies on dualities between QFTs of various dimensions reveal a rich interconnected landscape of QFTs, notably also including gravitational interactions.

The research activities of the RTG focus on the following challenges for current research in QFT that tie together various individual subprojects:
Establishing novel tools for high precision QFT predictions combined with agnostic approaches in the search for new physics beyond the standard model.
Accessing the strong coupling regime in QFTs by employing innovative methods and dualities.
Unravelling hidden algebraic structures and dualities in QFTs, thereby clarifying their rôle in the quest for quantum gravity.

The research agenda of this RTG is to work on these challenges by questioning and improving the foundations and traditional methods in QFT as well as quickly transferring advances made in one sector of our fields to another. In short, together with our early stage researchers we will rethink quantum field theory
The research program of our RTG is structured in the six main subareas:
1. Scattering amplitudes
2. Phenomenology
3. Lattice field theory
4. AdS/CFT correspondence
5. Gravitational waves
6. Mathematical aspects of QFT

They reflect the expertise of the researchers involved and lead to challenging and timely projects at the doctoral and postdoctoral level. A recurrent theme of our research will be the cross-fertilization of these sub areas by transferring innovations from one area to another based on common interests of the groups involved, thereby providing an added value of the RTG.
RTG 2575, a research training group funded by the German Research Foundation(DFG).

Further information: RTG-website.

Hermann von Helmholtz-Zentrum für Kulturtechnik (HZK)

The Hermann von Helmholtz Centre for Cultural Techniques (HZK) is a central institute of the Humboldt-Universität zu Berlin (HU). Its interdisciplinary orientation brings together project-based research, and it is dedicated to investigating the history and design of cultural techniques as cultural practices for creating, transferring and processing knowledge.
The HZK develops formats for using infrastructure in exhibitions, collections and interdisciplinary research and teaching. It sees scientific collections, architectures of knowledge and forms of creativity as cultural techniques applied in interdisciplinary knowledge, which it seeks to reflect and open up to transdisciplinary collaborations.
Research priority areas
The priority areas for interdisciplinary research and teaching at the HZK cover questions in the following fields: »Image & Action«, »Form Processes & Modelling«, »Active Matter«, »Architectures of Knowledge« and »Collecting & Exhibiting«.

More information: HZK-Website.