A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions [0.03%]
ribbon图导出随机多矩阵与多重迹相互作用的函数重整化代数
Carlos I Pérez-Sánchez
Carlos I Pérez-Sánchez
We focus on functional renormalization for ensembles of several (say n ≥ 1 ) random matrices, whose potentials include multi-traces, to wit, the probability measure contains factors of the form exp [ - Tr ( V 1 ) × ⋯ ×...
Improved energy estimates for a class of time-dependent perturbed Hamiltonians [0.03%]
一类时变扰动哈密顿算子的改进型能量估计
Giovanna Marcelli
Giovanna Marcelli
We consider time-dependent perturbations which are relatively bounded with respect to the square root of an unperturbed Hamiltonian operator, and whose commutator with the latter is controlled by the full perturbed Hamiltonian. The perturba...
David Fajman,Liam Urban
David Fajman
We study the asymptotic behaviour of solutions to the linear wave equation on cosmological spacetimes with Big Bang singularities and show that appropriately rescaled waves converge against a blow-up profile. Our class of spacetimes include...
The universal algebra of the electromagnetic field III. Static charges and emergence of gauge fields [0.03%]
电磁场的普遍代数（第三部分）：静止电荷与规范场的产生
Detlev Buchholz,Fabio Ciolli,Giuseppe Ruzzi et al.
Detlev Buchholz et al.
A universal C*-algebra of gauge invariant operators is presented, describing the electromagnetic field as well as operations creating pairs of static electric charges having opposite signs. Making use of Gauss' law, it is shown that the str...
Local stability of ground states in locally gapped and weakly interacting quantum spin systems [0.03%]
局域隙化和弱耦合量子自旋系统基态的局域稳定性
Joscha Henheik,Stefan Teufel,Tom Wessel
Joscha Henheik
Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system onl...
Hadleigh Frost,Lionel Mason
Hadleigh Frost
We review Lie polynomials as a mathematical framework that underpins the structure of the so-called double copy relationship between gauge and gravity theories (and a network of other theories besides). We explain how Lie polynomials natura...
Vincent Bouchard,Kento Osuga
Vincent Bouchard
We introduce the notion of N = 1 abstract super loop equations and provide two equivalent ways of solving them. The first approach is a recursive formalism that can be thought of as a supersymmetric generalization of the Eynard-Orantin top...
Benedict Schinnerl,Roland Steinbauer
Benedict Schinnerl
We prove a Gannon-Lee theorem for non-globally hyperbolic Lorentzian metrics of regularity C 1 , the most general regularity class currently available in the context of the classical singularity theorems. Along the way, we also prove that ...
Thomas Gemünden,Christoph A Keller
Thomas Gemünden
We investigate the large N limit of permutation orbifolds of vertex operator algebras. To this end, we introduce the notion of nested oligomorphic permutation orbifolds and discuss under which conditions their fixed point VOAs converge. We ...
Maurice A de Gosson
Maurice A de Gosson
We show that every Gaussian mixed quantum state can be disentangled by conjugation with a passive symplectic transformation, that is a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner-Wolf con...