Feynman Rules for Simplicial Gravity

H.W. Hamber; S. Liu

Feynman Rules for Simplicial Gravity

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arxiv hep-th/9603016 v2 pith:KH63XIK4 submitted 1996-03-05 hep-th

H.W. Hamber , S. Liu This is my paper · ORCID

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keywords gravitylatticefeynmanrulessimplicialtheoryanomalyapplication

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abstract

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a useful guide for non-perturbative studies of gravity. The Feynman rules for Regge's simplicial lattice formulation of gravity are then discussed in detail in two dimensions. As an application, the two-dimensional conformal anomaly due to a $D$-component scalar field is explicitly computed in perturbation theory.

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Towards the consistent perturbative expansion in discrete gravity
gr-qc 2026-01 conditional novelty 5.0 of 10

A mixed finite-difference action plus a principal-value soft synchronous gauge is claimed to make lattice gravity perturbation theory reproduce continuum gravity at small momenta.

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