Correlation functions on the lattice and twisted cocycles
arXiv:2003.05839 · doi:10.1016/j.physletb.2020.135449
Abstract
We study linear relations among correlation functions on a lattice obtained from integration-by-parts identities. We use the framework of twisted cocycles and determine for a scalar theory a basis of correlation functions, in which all other correlation functions may be expressed.
11 pages, version to be published
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Cited by in corpus (11)
- Decomposition of Feynman Integrals by Multivariate Intersection Numbers
- Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers
- Intersection Numbers from Higher-order Partial Differential Equations
- Non-perturbative computation of lattice correlation functions by differential equations
- Real time lattice correlation functions from differential equations
- Feynman Integrals from Positivity Constraints
- Intersection Numbers from Companion Tensor Algebra
- General Relativity from Intersection Theory
- Differential equations for tree--level cosmological correlators with massive states
- Canonical differential equations and intersection matrices
- Co-homology of Differential Forms and Feynman diagrams