The space of smooth sections of a symplectic fiber bundle carries a natural symplectic structure. We provide a general framework to determine the momentum map for the action of the group of...
Publications
Pages
Tuesday, 4 February, 2020
arXiv:2002.01273
Tuesday, 4 February, 2020
Physics is formulated in terms of timeless classical mathematics. A formulation on the basis of intuitionist mathematics, built on time-evolving processes, would offer a perspective that is...
arXiv:2002.01653
Friday, 31 January, 2020
We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-...
arXiv:2001.11714
Wednesday, 29 January, 2020
An explicit, geometric description of the first-class constraints and their Poisson brackets for gravity in the Palatini-Cartan formalism (in space-time dimension greater than three) is given....
arXiv:2001.11004
Wednesday, 29 January, 2020
We introduce a notion of "effective dimension" of a statistical model based on the number of cubes of size 1/\sqrt{n} needed to cover the model space when endowed with the Fisher Information...
arXiv:2001.10872
Tuesday, 21 January, 2020
We provide a systematic and updated discussion of a research line carried out by our group over the last few years, in which gravity is modified at cosmological distances by the introduction of...
arXiv:2001.07619
Monday, 20 January, 2020
We introduce a new class of operators in any theory with a 't Hooft large-N limit that we call colour-twist operators. They are defined by twisting the colour-trace with a global symmetry...
arXiv:2001.07259
Sunday, 19 January, 2020
For a real K3-surface X, one can introduce areas of connected components of the real point set RX of X using a holomorphic symplectic form of X. These areas are defined up to simultaneous...
arXiv:2001.06871
Tuesday, 14 January, 2020
We consider nearest-neighbor two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a suitable...
arXiv:2001.04737
Monday, 6 January, 2020
We prove that the grand canonical Gibbs state of an interacting quantum Bose gas converges to the Gibbs measure of a nonlinear Schrödinger equation in the mean-field limit, where the density of...
arXiv:2001.01546
Monday, 6 January, 2020
Physics is formulated in terms of timeless, axiomatic mathematics. A formulation on the basis of intuitionist mathematics, built on time-evolving processes, would offer a perspective that is...
Nat. Phys. (2020)
Thursday, 2 January, 2020
To make progress in science, we often build abstract representations of physical systems that meaningfully encode information about the systems. The representations learnt by most current...
arXiv:2001.00593