An anomaly associated with 4-dimensional quantum gravity
نویسندگان
چکیده
منابع مشابه
AN ANOMALY ASSOCIATED WITH 4 - DIMENSIONAL QUANTUM GRAVITYThomas
We compute the functional determinant quotient (det P h)=(det P g) for the Paneitz operator P in conformally related Riemannian metrics g; h, and discuss related positivity questions.
متن کاملTwo-Dimensional Quantum Gravity
We show equivalence between the standard weak coupling regime c > 25 of the the two-dimensional quantum gravity and regime h < 1/2 of the original geometric approach of Polyakov [1, 2], developed in [3, 4, 5]. 1 In this letter I shall demonstrate the equivalence of two approaches to the twodimensional quantum gravity. The first approach, called geometric, goes back to Polyakov’s original discov...
متن کاملPhysical states in canonically quantized , finite , 4 dimensional quantum gravity
Physical states in canonically quantized, finite, 4 dimensional quantum gravity. Minisuperspace Asktekar–Klein–Gordon model. Abstract This is the second paper in a series outlining an algorithm to consistently quantize four dimensional gravity in Ashtekar variables. We put to use the machinery and techniques developed in the first paper for a simple example in minisuperspace, highlighting the s...
متن کاملAnomaly freedom in perturbative loop quantum gravity
A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loop quantum gravity. The underlying constraints present a consistent deformation of the classical system, which shows that the discreteness in loop quantum gravity can be implemented in effective equations without spoil...
متن کاملTwo-Dimensional Quantum Gravity with Boundary
Using the recently found first order formulation of two-dimensional dilaton gravity with boundary, we perform a Hamiltonian analysis and subsequent path integral quantization. The importance of the boundary terms to obtain the correct quantum result are outlined and the quantum triviality of the theory is shown to hold with this modification as well. We compare with recent classical results and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1996
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099450