arXiv subjects

Colin Cunliff

Publications and source records attributed to Colin Cunliff.

3 recordsLinked to original sources

arXiv2013

Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity

The asymptotic behavior of new massive gravity (NMG) is analyzed for all values of the mass parameter satisfying the Breitenlohner-Freedman bound. The traditional Fefferman-Graham expansion fails to capture the dynamics of NMG, and new terms in the asymptotic expansion are needed to include the massive graviton modes. New boundary conditions are discovered for a range of values $-1<2m^2l^2<1$ at which non-Einstein modes decay more slowly than the Brown-Henneaux boundary conditions. The holographically renormalized stress tensor is computed for these modes, and the relevant counterterms are identified up to unphysical ambiguities.

hep-th↗

arXiv2012

Conformal fluctuations do not establish a minimum length

This paper corrects an earlier work suggesting that the quantum expectation value of the proper length is bounded from below by the Planck length. The original calculation examined fluctuations of the conformal factor of Einstein-Hilbert gravity. However, in Einstein-Hilbert gravity, the conformal factor is not a dynamical field subject to fluctuations. This paper performs the same calculation using the trace anomaly-induced effective action for the conformal factor and finds that, while conformal fluctuations modify the short-distance behavior of the interval, the interval still approaches zero in the coincidence limit.

gr-qc↗

arXiv2011

Topologically Massive Gravity from the Outside In

The asymptotic solutions of cosmological topologically massive gravity (TMG) are analyzed for values of the mass parameter in the range $μ\geq1$. At non-chiral values, a new term in the Fefferman-Graham expansion is needed to capture the bulk degree of freedom. The CDWW modes provide a basis for the pure non-Einstein solutions at all $μ$, with nonlinear corrections appearing at higher order in the expansion.

hep-th↗