Prof. Dr. Matthias Staudacher
Profil
Forschungsthemen17
Animierter Kurzfilm holographisches Prinzip
Quelle ↗Zeitraum: 11/2015 - 06/2016 Projektleitung: Prof. Dr. Matthias Staudacher
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
Quelle ↗Förderer: Horizon 2020: Innovative Training Network ITN Zeitraum: 09/2018 - 08/2022 Projektleitung: Prof. Dr. Jan Plefka
Evolution equations for composite operators and AdS/CFT integrability
Quelle ↗Zeitraum: 06/2013 - 05/2015 Projektleitung: Prof. Dr. Matthias Staudacher
EXC 2025: Matters of Activity. Image Space Material
Quelle ↗Förderer: DFG Exzellenzstrategie Cluster Zeitraum: 01/2019 - 12/2025 Projektleitung: Prof. Dr. phil. Wolfgang Schäffner, Prof. Dr. Claudia Mareis
Gauge Theory as an Integrable System
Quelle ↗Zeitraum: 01/2013 - 12/2016 Projektleitung: Prof. Dr. Matthias Staudacher
Gravitation and High Energy Physics
Quelle ↗Zeitraum: 09/2013 - 08/2016 Projektleitung: Prof. Dr. Matthias Staudacher
GRK 2575/1: Überdenken der Quantenfeldtheorie
Quelle ↗Förderer: DFG Graduiertenkolleg Zeitraum: 04/2020 - 09/2024 Projektleitung: Prof. Dr. Jan Plefka
GRK 2575/2: Überdenken der Quantenfeldtheorie
Quelle ↗Förderer: DFG Graduiertenkolleg Zeitraum: 10/2024 - 03/2029 Projektleitung: Prof. Dr. Jan Plefka
GRK 2575: Überdenken der Quantenfeldtheorie
Quelle ↗Förderer: DFG Graduiertenkolleg Zeitraum: 04/2020 - 03/2029 Projektleitung: Prof. Dr. Jan Plefka
Integrability, Symmetry and Quantum Space-time
Quelle ↗Zeitraum: 08/2013 - 08/2014 Projektleitung: Prof. Dr. Matthias Staudacher
Integrable Verformungen in der Holographie
Quelle ↗Förderer: DFG Heisenberg Programm Zeitraum: 09/2025 - 08/2028 Projektleitung: Stijn van Tongeren, PhD, Prof. Dr. Matthias Staudacher
International Max Planck Research School for Mathematical and Physical Aspects of Gravitation, Cosmology and Quantum Field Theory (IMPRS)
Quelle ↗Zeitraum: 10/2016 - 09/2022 Projektleitung: Prof. Dirk Kreimer, Prof. Dr. Hermann Nicolai
Kolleg Mathematik Physik Berlin
Quelle ↗Zeitraum: 01/2016 - 12/2020 Projektleitung: Prof. Dirk Kreimer, Prof. Dr. Gavril Farkas, Prof. Dr. Jan Plefka
Scattering Amplitudes: from Geometry to EXperiment
Quelle ↗Förderer: Horizon 2020: Innovative Training Network ITN Zeitraum: 09/2018 - 08/2022 Projektleitung: Prof. Dr. Matthias Staudacher, Prof. Dr. Jan Plefka
SFB 647/1-3: Raum - Zeit - Materie: Analytische und Geometrische Strukturen (ZP)
Quelle ↗Förderer: DFG Sonderforschungsbereich Zeitraum: 01/2005 - 12/2016 Projektleitung: Prof. Dr. Matthias Staudacher
SFB 647/3: Structure of Quantum Field Theory: Hopf Algebras versus Integrability (TP C04)
Quelle ↗409-01-A · Algorithmik und KomplexitätFörderer: DFG Sonderforschungsbereich Zeitraum: 01/2013 - 12/2016 Projektleitung: Prof. Dr. Matthias Staudacher
UNIFY - Unification of Fundamental Forces and Applications
Quelle ↗Zeitraum: 06/2011 - 05/2015 Projektleitung: Prof. Dr. Matthias Staudacher
Mögliche Industrie-Partner10
Stand: 26.4.2026, 19:48:44 (Top-K=20, Min-Cosine=0.4)
- 46 Treffer85.0%
- EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)K85.0%
- EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
- 43 Treffer56.5%
- Generalized Quatum Batalin-Vilkovisky Formalism and Graphical CalculusP56.5%
- Generalized Quatum Batalin-Vilkovisky Formalism and Graphical Calculus
- 10 Treffer56.1%
- The Pathway to Inquiry Based Science TeachingP56.1%
- The Pathway to Inquiry Based Science Teaching
- 10 Treffer56.1%
- The Pathway to Inquiry Based Science TeachingP56.1%
- The Pathway to Inquiry Based Science Teaching
- 10 Treffer56.1%
- The Pathway to Inquiry Based Science TeachingP56.1%
- The Pathway to Inquiry Based Science Teaching
- 10 Treffer56.1%
- The Pathway to Inquiry Based Science TeachingP56.1%
- The Pathway to Inquiry Based Science Teaching
- 9 Treffer56.1%
- The Pathway to Inquiry Based Science TeachingP56.1%
- The Pathway to Inquiry Based Science Teaching
- 32 Treffer55.8%
- Embodied Audition for RobotSP55.8%
- Embodied Audition for RobotS
- 16 Treffer54.3%
- Interfaces in opto-electronic thin film multilayer devicesP54.3%
- Interfaces in opto-electronic thin film multilayer devices
NVIDIA GmbH
PT39 Treffer54.2%- EU: Simulation in Multiscale Physical and Biological Systems (STIMULATE)P54.2%
- EU: Simulation in Multiscale Physical and Biological Systems (STIMULATE)
Publikationen25
Top 25 nach Zitationen — Quelle: OpenAlex (BAAI/bge-m3 embedded für Matching).
Nuclear Physics B · 744 Zitationen · DOI
Nuclear Physics B · 731 Zitationen · DOI
Nuclear Physics B · 653 Zitationen · DOI
Journal of High Energy Physics · 598 Zitationen · DOI
arXiv (Cornell University) · 350 Zitationen
We argue that existing methods for the perturbative computation of anomalous dimensions and the disentanglement of mixing in N=4 gauge theory can be considerably simplified, systematized and extended by focusing on the theory's dilatation operator. The efficiency of the method is first illustrated at the one-loop level for general non-derivative scalar states. We then go on to derive, for pure scalar states, the two-loop structure of the dilatation operator. This allows us to obtain a host of new results. Among these are an infinite number of previously unknown two-loop anomalous dimensions, novel subtleties concerning 't Hooft's large N expansion due to mixing effects of degenerate single and multiple trace states, two-loop tests of various protected operators, as well as two-loop non-planar results for two-impurity operators in BMN gauge theory. We also put to use the recently discovered integrable spin chain description of the planar one-loop dilatation operator and show that the associated Yang-Baxter equation explains the existence of a hitherto unknown planar "axial" symmetry between infinitely many gauge theory states. We present evidence that this integrability extends to two loops and higher, with intriguing consequences for gauge theory and, perhaps, condensed matter theory. Assuming that the integrability structure extends to more than two loops, we e.g. determine the planar three-loop contribution to the dilatation operator.
Journal of High Energy Physics · 308 Zitationen · DOI
Nuclear Physics B · 291 Zitationen · DOI
Journal of High Energy Physics · 211 Zitationen · DOI
Physics Letters B · 181 Zitationen · DOI
Journal of High Energy Physics · 149 Zitationen · DOI
Journal of Statistical Mechanics Theory and Experiment · 148 Zitationen · DOI
Baxter's Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest such system, the compact spin-1/2 Heisenberg-Bethe XXX spin chain. Here we attempt to fill this gap and show how two linearly independent operatorial solutions to Baxter's TQ equation may be constructed as commuting transfer matrices if a twist field is present. The latter are obtained by tracing over infinitely many oscillator states living in the auxiliary channel of an associated monodromy matrix. We furthermore compare and differentiate our approach to earlier articles addressing the problem of the construction of the Q-operator for the XXX chain. Finally we speculate on the importance of Q-operators for the physical interpretation of recent proposals for the Y-system of AdS/CFT.
Nuclear Physics B · 146 Zitationen · DOI
Max Planck Digital Library · 135 Zitationen · DOI
Recently it was established that the one-loop planar dilatation generator of N=4 Super Yang-Mills theory may be identified, in some restricted cases, with the Hamiltonians of various integrable quantum spin chains. In particular Minahan and Zarembo established that the restriction to scalar operators leads to an integrable vector so(6) chain, while recent work in QCD suggested restricting to twist operators, containing mostly covariant derivatives, yields certain integrable Heisenberg XXX chains with non-compact spin symmetry sl(2). Here we unify and generalize these insights and argue that the complete one-loop planar dilatation generator of N=4 is described by an integrable su(2,2|4) super spin chain. We also write down various forms of the associated Bethe ansatz equations, whose solutions are in one-to-one correspondence with the set of all one-loop planar anomalous dimensions in the N=4 gauge theory. We finally speculate on the non-perturbative extension of these integrable structures, which appears to involve non-local deformations of the conserved charges.
Communications in Mathematical Physics · 115 Zitationen · DOI
Nuclear Physics B · 113 Zitationen · DOI
Nuclear Physics B · 104 Zitationen · DOI
Journal of Statistical Mechanics Theory and Experiment · 95 Zitationen · DOI
We study a refined large spin limit for twist operators in the sl(2) sector of AdS/CFT. We derive a novel non-perturbative equation for the generalized two-parameter scaling function associated to this limit, and analyze it at weak coupling. It is expected to smoothly interpolate between weakly coupled gauge theory and string theory at strong coupling.
Communications in Mathematical Physics · 67 Zitationen · DOI
Nuclear Physics B · 67 Zitationen · DOI
ArXiv.org · 66 Zitationen · DOI
We briefly review the status quo of the application of integrable systems techniques to the AdS/CFT correspondence in the large charge approximation, a rapidly evolving topic. Intricate string and gauge computations of, respectively, energies and scaling dimensions agree at the one and two-loop level, but disagree starting from three loops. To add to this pattern, we present further computations which demonstrate that for folded and circular spinning strings the full tower of infinitely many hidden commuting charges, responsible for the integrability, also agrees up to two, but not three, loops.
Physical Review Letters · 65 Zitationen · DOI
Planar N = 4 supersymmetric Yang-Mills theory appears to be integrable. While this allows one to find this theory's exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by a spectral parameter. The deformed tree-level four-point function turns out to be essentially the one-loop R matrix of the integrable N = 4 spin chain satisfying the Yang-Baxter equation. Deformed on-shell three-point functions yield novel three-leg R matrices satisfying bootstrap equations. Finally, we supply initial evidence that the spectral parameter might find its use as a novel symmetry-respecting regulator replacing dimensional regularization. Its physical meaning is a local deformation of particle helicity, a fact which might be useful for a much larger class of nonintegrable four-dimensional field theories.
Physics Letters B · 63 Zitationen · DOI
Nuclear Physics B · 57 Zitationen · DOI
Nuclear Physics B · 46 Zitationen · DOI
Nuclear Physics B · 44 Zitationen · DOI
We propose that Baxter's Z-invariant six-vertex model at the rational gl(2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. These are identified with eigenfunctions of certain monodromies of an auxiliary inhomogeneous spin chain. As a consequence they are special solutions to the eigenvalue problem of the associated transfer matrix. Excitingly, this allows to construct them using Bethe ansatz techniques. Conceptually, our construction generalizes to general (super) Lie algebras and general representations. Here we present the explicit form of sample invariants for totally symmetric, finite-dimensional representations of gl(n) in terms of oscillator algebras. In particular, we discuss invariants of three- and four-site monodromies that can be understood respectively as intertwiners of the bootstrap and Yang–Baxter equation. We state a set of functional relations significant for these representations of the Yangian and discuss their solutions in terms of Bethe roots. They arrange themselves into exact strings in the complex plane. In addition, it is shown that the sample invariants can be expressed analogously to Graßmannian integrals. This aspect is closely related to a recent on-shell formulation of scattering amplitudes in planar N=4 super Yang–Mills theory.
Kooperationen23
Bestätigte Forscher↔Partner-Paare aus HU-FIS — Gold-Standard-Positive für das Matching.
EXC 2025: Matters of Activity. Image Space Material
university
CNRS - Université Grenoble Alpes -CEA/DRF/BIG - INRA
Gauge Theory as an Integrable System
university
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
other
GRK 2575/2: Überdenken der Quantenfeldtheorie
other
EXC 2025: Matters of Activity. Image Space Material
university
Gravitation and High Energy Physics
university
EXC 2025: Matters of Activity. Image Space Material
other
Gauge Theory as an Integrable System
university
Gauge Theory as an Integrable System
university
Integrability, Symmetry and Quantum Space-time
other
GRK 2575/2: Überdenken der Quantenfeldtheorie
other
EXC 2025: Matters of Activity. Image Space Material
other
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
university
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
company
EXC 2025: Matters of Activity. Image Space Material
foundation
EXC 2025: Matters of Activity. Image Space Material
university
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
university
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
university
EU: Scattering Amplitudes: From Geometry to EXperiment (SAGEX)
university
Gauge Theory as an Integrable System
university
Gauge Theory as an Integrable System
university
Integrability, Symmetry and Quantum Space-time
university
EXC 2025: Matters of Activity. Image Space Material
other
Stammdaten
Identität, Organisation und Kontakt aus HU-FIS.
- Name
- Prof. Dr. Matthias Staudacher
- Titel
- Prof. Dr.
- Fakultät
- Mathematisch-Naturwissenschaftliche Fakultät
- Institut
- Institut für Physik
- Arbeitsgruppe
- Theoretische Physik (Mathematische Physik von Raum, Zeit und Materie)
- Telefon
- +49 30 2093-66392
- HU-FIS-Profil
- Quelle ↗
- Zuletzt gescrapt
- 26.4.2026, 01:12:43