5 citations · 14 across the 5 of their papers we have counts for
5 papers
Locality and renormalisation: universal properties and integrals on trees
Pierre Clavier, Li Guo, Sylvie Paycha +1
The purpose of this paper is to build an algebraic framework suited to regularise branched structures emanating from rooted forests and which encodes the locality principle. This i…
Renormalisation via locality morphisms
Pierre Clavier, Li Guo, Sylvie Paycha +1
This is a survey on renormalisation in the locality setup highlighting the role that locality morphisms can play for renormalisation purposes. Having set up a general framework to…
Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups
Nguyen Viet Dang, Bin Zhang
Our goal in this paper is to present a generalization of the spectral zeta regularization for general Feynman amplitudes. Our method uses complex powers of elliptic operators but i…
An algebraic formulation of the locality principle in renormalisation
Pierre Clavier, Li Guo, Sylvie Paycha +1
We study the mathematical structure underlying the concept of locality which lies at the heart of classical and quantum field theory, and develop a machinery used to preserve local…
E-Characteristic Polynomials of Tensors
An-Min Li, Liqun Qi, Bin Zhang
In this paper, we show that the coefficients of the E-characteristic polynomial of a tensor are orthonormal invariants of that tensor. When the dimension is 2, some simplified form…