124,261 research outputs found
Lagrangian constraints and renormalization of 4D gravity
It has been proposed in \cite{Park:2014tia} that 4D Einstein gravity becomes
effectively reduced to 3D after solving the Lagrangian analogues of the
Hamiltonian and momentum constraints of the Hamiltonian quantization. The
analysis in \cite{Park:2014tia} was carried out at the classical/operator
level. We review the proposal and make a transition to the path integral
account. We then set the stage for explicitly carrying out the two-loop
renormalization procedure of the resulting 3D action. We also address a
potentially subtle issue in the gravity context concerning whether
renormalizability does not depend on the background around which the original
action is expanded.Comment: 40 pages, 5 figures, minor corrections, version to appear in JHE
Reduction of BTZ spacetime to hypersurfaces of foliation
We reduce the BTZ spacetime to two kinds of hypersurfaces of foliation: one
having a fixed radial coordinate and the other a fixed angular coordinate. The
radial reduction leads to a Liouville type theory, and confirms, from the first
principle, the expectation laid out in the literature. In the other endeavor,
the angular reduction of the 3D gravity is carried out in two different ways;
the first again yields a Liouville type theory (different from that of the
radial reduction) and the second yields a 2D interacting quantum field theory
with quartic potential. Finally we discuss potential implications of our result
for the Equivalence Principle and Purity of Hawking radiation.Comment: 16 pages, minor corrections, version that will appear in JHE
Absorption of a Quantum in a D1/D5 System
In {\em Nucl. Phys.} B {\bf 615}, 285 (2001) [arXiv:hep-th/0107113], the wave
equation for a minimally coupled scalar was studied in the geometry of a D1-D5
system with non-zero angular momentum. The probability for a quantum to enter
the throat was computed by taking small a parameter \g which is associated
with the value of the angular momentum. In the leading order in \g, the
result was found to agree with the dual CFT result. In this note, we report on
an observation that there are corrections of higher order in \g. Our results
should be useful for determining the higher order correction terms that the
dual CFT needs in order to incorporate the presence of the `capped' geometry.Comment: 16 page
entropy of 4D N=4 SYM
We employ localization technique to derive entropy scaling of four
dimensional N=4 SYM theory.Comment: 19 pages, latex, clarifications/explanations added, refs added, a
version that will appear in NP
- …