We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our...
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Monday, 16 March, 2020
We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as p^2 \to 0. In...
arXiv:2003.07361
Monday, 9 March, 2020
We prove a sharp quantitative version of the p-Sobolev inequality for any 1<p<n, with a control on the strongest possible distance from the class of optimal functions. Surprisingly, the...
arXiv:2003.04037
Thursday, 5 March, 2020
In this paper we consider the semiclassical limit from the Hartree to the Vlasov equation with general singular interaction potential including the Coulomb and gravitational interactions, and we...
arXiv:2003.02926
Thursday, 5 March, 2020
Mapping Spaces for DG Hopf Cooperads and Homotopy Automorphisms of the Rationalization of En-operads
We define a simplicial enrichment on the category of differential graded Hopf cooperads (the category of dg Hopf cooperads for short). We prove that our simplicial enrichment satisfies, in part...
arXiv:2003.02939
Tuesday, 3 March, 2020
Autonomous entanglement engines have recently been proposed to generate steady-state bipartite and multipartite entanglement exploiting only incoherent interactions with thermal baths at...
arXiv:2003.01426
Monday, 2 March, 2020
We review the recent results [45, 46] concerning the semiclassical limit from the Hartree dynamics to the Vlasov equation with singular potentials and extend them to the case of more general...
arXiv:2003.01001
Sunday, 1 March, 2020
We define stationary descendent integrals on the moduli space of stable maps from disks to (\mathbb{CP}^1,\mathbb{RP}^1). We prove a localization formula for the stationary theory involving...
arXiv:2003.00550
Sunday, 1 March, 2020
This work is concerned with the study of singular limits for the Vlasov-Poisson system in the case of massless electrons (VPME), which is a kinetic system modelling the ions in a plasma. Our...
Journal de Mathématiques Pures et Appliquées Vol 135, 03 2020, 199-255
Wednesday, 26 February, 2020
We discuss random geometric structures obtained by percolation of Brownian loops, in relation to the Gaussian Free Field, and how their existence and properties depend on the dimension of the...
arXiv:2002.11487
Friday, 21 February, 2020
It is well known that helical magnetic fields undergo a so-called inverse cascade by which their correlation length grows due to the conservation of magnetic helicity in classical ideal...
arXiv:2002.09501
Thursday, 20 February, 2020
In this paper, the foundations of classical phenomenological thermodynamics are being thoroughly revisited. A new rigorous basis for thermodynamics is laid out in the main text and presented in...
arXiv:2002.08968