Renormalization of quantum field theory on Riemannian manifolds

2019 ◽  
Vol 31 (06) ◽  
pp. 1950017
Author(s):  
Nguyen Viet Dang ◽  
Estanislao Herscovich
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Riemannian Manifolds ◽  
Quantum Field ◽  
Local Method ◽  
Open Set ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory

In this paper, we provide a simple pedagogical proof of the existence of covariant renormalizations in Euclidean perturbative quantum field theory on closed Riemannian manifolds, following the Epstein–Glaser philosophy. We rely on a local method that allows us to extend a distribution defined on an open set [Formula: see text] to the whole manifold [Formula: see text].

scholarly journals Non‐perturbative Quantum Field Theory and the Geometry of Functional Spaces

2021 ◽  
Vol 69 (10) ◽  
pp. 2100106
Author(s):  
Johannes Aastrup ◽  
Jesper Møller Grimstrup
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory

MASSEY–MILNOR LINKING = CHERN–SIMONS–WITTEN GRAPHS

2008 ◽  
Vol 17 (07) ◽  
pp. 877-903 ◽  
Author(s):  
CHUN-CHUNG HSIEH
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Configuration Space ◽  
Quantum Field ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory ◽  
Chern Simons ◽  
Configuration Space Integrals

We express the first non-vanishing Massey–Milnor linkings in terms of Chern–Simons–Witten configuration space integrals in perturbative quantum field theory.

scholarly journals Perturbative Quantum Field Theory and Homotopy Algebras

2020 ◽  
Author(s):  
Christian Saemann ◽  
Branislav Jurco ◽  
Hyungrok Kim ◽  
Tommaso Macrelli ◽  
Martin Wolf
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Homotopy Algebras ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory
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