Towards apparent convergence in asymptotically safe quantum gravity

The asymptotic safety scenario in gravity is accessed within the systematic vertex expansion scheme for functional renormalisation group flows put forward in \cite{Christiansen:2012rx,Christiansen:2014raa}, and implemented in \cite{Christiansen:2015rva} for propagators and three-point functions. In the present work this expansion scheme is extended to the dynamical graviton four-point function. For the first time, this provides us with a closed flow equation for the graviton propagator: all vertices and propagators involved are computed from their own flows. In terms of a covariant operator expansion the current approximation gives access to $\Lambda$, $R$, $R^2$ as well as $R_{\mu\nu}^2$ and higher derivative operators. We find a UV fixed point with three attractive and two repulsive directions, thus confirming previous studies on the relevance of the first three operators. In the infrared we find trajectories that correspond to classical general relativity and further show non-classical behaviour in some fluctuation couplings. We also find signatures for the apparent convergence of the systematic vertex expansion. This opens a promising path towards establishing asymptotically safe gravity in terms of apparent convergence.Comment: 24 pages, 6 figures; journal version with updated reference

Wilbur Norman Christiansen 1913-2007

W. N. ('Chris') Christiansen was an innovative and influential radio astronomy pioneer. The hallmarks of his long and distinguished career in science and engineering, spanning almost five decades, were his inventiveness and his commitment to, and success with, large-scale projects. These projects were the outcome of his innovative skill as physicist and engineer. Paralleling this was his equal commitment to forging strong international links and friendships, leading to his election as Vice-President of the International Astronomical Union for the years 1964 to 1970, as President of the International Union of Radio Science, URSI, from 1978 to 1981, and subsequently as Honorary Life President in 1984, and as Foreign Secretary of the Australian Academy of Science from 1981 to 1985. Major subsequent developments in radio astronomy and wireless communications on the global scene stand as a legacy to Chris's approach to his work and to the development of those who worked with him.Comment: 16 pages, 4 figure

Newspaper Critic Shapes Chicago Style of Theater

This study of coverage of the local theater scene from 1975–85 in three Chicago dailies found that one critic, Richard Christiansen, had the strongest influence on the development of the Chicago Style that flourished in the off-Loop theaters. </jats:p

Wind engineering study of One Williams Center, Tulsa

CER74-75JAP-JEC25.Includes bibliographical references.December 1974.For Skilling, Helle, Christiansen and Robertson.Supported by Skilling, Helle, Christiansen and Robertson

Byron Child Christiansen and Merrilee Christiansen, husband and wife v. Farmers Insurance Exchange : Brief of Appellee

BRIEF OF PLAINTIFFS/APELLEES BYRON CHILD CHRISTIANSEN AND MERRILEE CHRISTIANSEN ON THE INTERLOCUTORY APPEAL FROM THE THIRD DISTRICT COURT, HONORABLE JOSEPH C. FRATTO, JR

A commentary on "The now-or-never bottleneck: a fundamental constraint on language", by Christiansen and Chater (2016)

In a recent article, Christiansen and Chater (2016) present a fundamental constraint on language, i.e. a now-or-never bottleneck that arises from our fleeting memory, and explore its implications, e.g., chunk-and-pass processing, outlining a framework that promises to unify different areas of research. Here we explore additional support for this constraint and suggest further connections from quantitative linguistics and information theory