Nonlocal ghost formalism for quantum gravity
نویسنده
چکیده
The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a counterpart for gravity is here considered. In particular, if spatial components of metric perturbations are set to zero at the boundary, invariance of the full set of boundary conditions under infinitesimal diffeomorphisms is compatible with non-local boundary conditions on normal components of metric perturbations if and only if both the gauge-field operator and the ghost operator are pseudo-differential operators in one-loop quantum gravity. Typeset using REVTEX Electronic address: [email protected]
منابع مشابه
Quantum Gravity Without Ghosts
An outline is given of a recently discovered technique for building a quantum e ective action that is completely independent of gaugexing choices and ghost determinants. One makes maximum use of the geometry and brebundle structure of the space of eld histories and introduces a set of nonlocal composite elds: the geodesic normal elds based on Vilkovisky's connection on the space of histories. T...
متن کاملThe Physics of Ghost imaging
One of the most surprising consequences of quantum mechanics is the nonlocal correlation of a multi-particle system observable in joint-detection of distant particle-detectors. Ghost imaging is one of such phenomena. Taking a photograph of an object, traditionally, we need to face a camera to the object. But with ghost imaging, we can image the object by pointing a CCD camera towards the light ...
متن کاملThe Conformal Mode in 2D Simplicial Gravity
We verify that summing 2D DT geometries correctly reproduces the Polyakov action for the conformal mode, including all ghost contributions, at large volumes. The Gaussian action is reproduced even for cm = 10, well into the branched polymer phase, which confirms the expectation that the DT measure is indeed correct in this regime as well Introduction. In the last decade there has been considera...
متن کاملNonlocal and Local Ghost Fields in Quantum Correlations
Einstein Podolsky Rosen quantum correlations are discussed from the perspective of a ghost field introduced by Einstein. The concepts of ghost field, hidden variables, local reality and the Bell inequality are reviewed. In the framework of the correlated singlet state of two spin2 particles, it is shown that quantum mechanics can be cast in a way that has the form of either a nonpositive and lo...
متن کاملFrom Berezin Integral to Batalin-vilkovisky Formalism: a Mathematical Physicist’s Point of View
Within the path integral approach quantum field theory can be formulated as an integral over the superspace of fields. The Berezin integral is the crucial element in this construction. Replacing an infinite-dimensional supermanifold of fields by an ordinary supermanifold we get a nice toy model of quantum field theory. In this article I motivate the origin of the Berezin integral and trace some...
متن کامل