Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Hannesdottir, Holmfridur"'
Autor:
Correia, Miguel, Hannesdottir, Holmfridur S., Isabella, Giulia, Wolz, Anna M., Zhou, Zihan, Giroux, Mathieu, Mizera, Sebastian, Pasiecznik, Celina
These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the Hydrogen atom exa
Externí odkaz:
http://arxiv.org/abs/2412.11649
Autor:
Curry, Sean N., Lebl, Jiří, Giroux, Mathieu, Hannesdottir, Holmfridur S., Mizera, Sebastian, Pasiecznik, Celina
We will cover the basics of several complex variables in 4 lectures: Basic properties of holomorphic functions in several variables, the notion of pseudoconvexity, CR functions and CR geometry, and the $\bar\partial$-problem. The main underlying idea
Externí odkaz:
http://arxiv.org/abs/2411.01056
We advocate a strategy of bootstrapping Feynman integrals from just knowledge of their singular behavior. This approach is complementary to other bootstrap programs, which exploit non-perturbative constraints such as unitarity, or amplitude-level con
Externí odkaz:
http://arxiv.org/abs/2410.02424
Autor:
Lee, Mang Hei Gordon, Pajer, Enrico, Giroux, Mathieu, Hannesdottir, Holmfridur S., Mizera, Sebastian, Pasiecznik, Celina
By directly probing the initial conditions of our universe, cosmological surveys offer us a unique observational handle on quantum field theory in curved spacetime with dynamical gravity and might even allow us to glean information about a full theor
Externí odkaz:
http://arxiv.org/abs/2410.00227
Autor:
Benincasa, Paolo, Giroux, Mathieu, Hannesdottir, Holmfridur S., Mizera, Sebastian, Pasiecznik, Celina, Vazão, Francisco
Observables in expanding universes are crucial to understand the physics of the early universe. In these lectures, we review some recent progress in understanding their mathematical structure and extract the physics encoded in them. After discussing
Externí odkaz:
http://arxiv.org/abs/2409.14947
We introduce an efficient method for deriving hierarchical constraints on the discontinuities of individual Feynman integrals. This method can be applied at any loop order and particle multiplicity, and to any configuration of massive or massless vir
Externí odkaz:
http://arxiv.org/abs/2406.05943
We review different notions of cuts appearing throughout the literature on scattering amplitudes. Despite similar names, such as unitarity cuts or generalized cuts, they often represent distinct computations and distinct physics. We consolidate this
Externí odkaz:
http://arxiv.org/abs/2402.19415
We find that different asymptotic measurements in quantum field theory can be related to one another through new versions of crossing symmetry. Assuming analyticity, we conjecture generalized crossing relations for multi-particle processes and the co
Externí odkaz:
http://arxiv.org/abs/2310.12199
We consider asymptotic observables in quantum field theories in which the S-matrix makes sense. We argue that in addition to scattering amplitudes, a whole compendium of inclusive observables exists where the time-ordering is relaxed. These include e
Externí odkaz:
http://arxiv.org/abs/2308.02125