%0 Generic %1 citeulike:422894 %A Hamber, Herbert W. %A Williams, Ruth M. %D 2005 %K gravity quantum %T Quantum Gravity in Large Dimensions %U http://arxiv.org/abs/hep-th/0512003 %X Quantum 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 $k_c/łambda=1/d$ (with $k=1/8 G$) 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 $| (k_c - k) |^1/2$, implying for the universal gravitational critical exponent the value $\nu=0$ at $d=ınfty$.

@misc{citeulike:422894, abstract = {Quantum 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 $k_c/\lambda=1/d$ (with $k=1/8 \pi G$) 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 $\nu=0$ at $d=\infty$.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Hamber, Herbert W. and Williams, Ruth M.}, biburl = {https://www.bibsonomy.org/bibtex/2777e39a1c6156097b7996f663e70ab76/a_olympia}, citeulike-article-id = {422894}, description = {citeulike}, eprint = {hep-th/0512003}, interhash = {8aeb29753700542cd365e852df64329d}, intrahash = {777e39a1c6156097b7996f663e70ab76}, keywords = {gravity quantum}, month = Nov, priority = {2}, timestamp = {2007-08-18T13:22:37.000+0200}, title = {Quantum Gravity in Large Dimensions}, url = {http://arxiv.org/abs/hep-th/0512003}, year = 2005 }