Correlation functions on the lattice and twisted cocycles

DOI10.1016/j.physletb.2020.135449zbMath1436.81081arXiv2003.05839OpenAlexW3020506991MaRDI QIDQ777804

Stefan Weinzierl

Publication date: 7 July 2020

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05839

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Path integrals in quantum mechanics (81S40)

Related Items (5)

Feynman integrals from positivity constraints ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Real time lattice correlation functions from differential equations ⋮ Intersection numbers from higher-order partial differential equations ⋮ Decomposition of Feynman integrals by multivariate intersection numbers

Uses Software

• FIRE

Cites Work

• FIRE5: a C++ implementation of Feynman integral REduction
• Homological perturbation theory for nonperturbative integrals
• Twisted de Rham cohomology, homological definition of the integral and ``physics over a ring
• On vanishing of cohomology attached to certain many valued meromorphic functions
• Kira -- a Feynman integral reduction program
• Operator product expansions and composite field operators in the general framework of quantum field theory
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Theory of Hypergeometric Functions
• Intersection theory for twisted cohomologies and twisted Riemann’s period relations I
• How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism

This page was built for publication: Correlation functions on the lattice and twisted cocycles