scholarly journals DFR Perturbative Quantum Field Theory on Quantum Space Time, and Wick Reduction

2007 ◽  
pp. 225-237 ◽  
Author(s):  
Gherardo Piacitelli
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Quantum Space ◽  
Perturbative Quantum ◽  
Perturbative Quantum Field Theory

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 Quantum field theory on a cosmological, quantum space-time

2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Abhay Ashtekar ◽  
Wojciech Kaminski ◽  
Jerzy Lewandowski
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Quantum Space

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.

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