Quenched, Minisuperspace, Bosonic p-brane Propagator

Abstract

We borrow the minisuperspace approximation from Quantum Cosmology and the quenching approximation from QCD in order to derive a new form of the bosonic p-brane propagator. In this new approximation we obtain an exact description of both the collective mode deformation of the brane and the center of mass dynamics in the target spacetime. The collective mode dynamics is a generalization of string dynamics in terms of area variables. The final result is that the evolution of a p-brane in the quenched-minisuperspace approximation is formally equivalent to the effective motion of a particle in a spacetime where points as well as hypersurfaces are considered on the same footing as fundamental geometrical objects. This geometric equivalence leads us to define a new tension-shell condition that is a direct extension of the Klein-Gordon condition for material particles to the case of a physical p-brane.

ReVTeX, 23pages, no figures; accepted for publication on Phys.Rev.D

Cited by in corpus (13)

• Spin Gauge Theory of Gravity in Clifford Space: A Realization of Kaluza-Klein Theory in 4-Dimensional Spacetime
• Kaluza-Klein Theory without Extra Dimensions: Curved Clifford Space
• Higher Derivative Gravity and Torsion from the Geometry of C-spaces
• Fuzzy dimensions and Planck's Uncertainty Principle for p-branes
• A Novel View on the Physical Origin of E8
• On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches
• On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb-Ramond Fields
• Quantum Field Theories in Spaces with Neutral Signatures
• The QCD Membrane
• Boundary Super-Deformations, Boundary States, and Tachyon Condensation
• An Extra Structure of Spacetime: A Space of Points, Areas and Volumes
• On the Stueckelberg Like Generalization of General Relativity
• On the Relativity in Configuration Space: A Renewed Physics In Sight