Quantum Gravity in Large Dimensions

Simple item page
dc.creatorHamber, Herbert W.
dc.creatorWilliams, Ruth M.
dc.date2005-11-30
dc.date.accessioned2026-07-07T10:45:22Z
dc.date.available2026-07-07T10:45:22Z
dc.descriptionQuantum gravity is investigated in the limit of a large number of space-time dimensions, using as an ultraviolet regularization the simplicial lattice path integral formulation. In the weak field limit the appropriate expansion parameter is determined to be $1/d$. For the case of a simplicial lattice dual to a hypercube, the critical point is found at $k_c/λ=1/d$ (with $k=1/8 πG$) separating a weak coupling from a strong coupling phase, and with $2 d^2$ degenerate zero modes at $k_c$. The strong coupling, large $G$, phase is then investigated by analyzing the general structure of the strong coupling expansion in the large $d$ limit. Dominant contributions to the curvature correlation functions are described by large closed random polygonal surfaces, for which excluded volume effects can be neglected at large $d$, and whose geometry we argue can be approximated by unconstrained random surfaces in this limit. In large dimensions the gravitational correlation length is then found to behave as $| \log (k_c - k) |^{1/2}$, implying for the universal gravitational critical exponent the value $ν=0$ at $d=\infty$.
dc.description47 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0512003
dc.identifierhttp://arxiv.org/abs/hep-th/0512003
dc.identifierPhys.Rev.D73:044031,2006
dc.identifierdoi:10.1103/PhysRevD.73.044031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182893
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum Gravity in Large Dimensions
dc.typetext

Files

Collections

arXiv