A New Approach to the Classical and Quantum Dynamics of Branes

Abstract

It is shown that the Dirac-nambu-Goto brane can be described as a point particle in an infinite dimensional brane space with a particular metric. This suggests a generalization to brane spaces with arbitrary metric, including the "flat" metric. Then quantization of such a system is straightforward: it is just like quantization of a bunch of non interacting particles. This leads us to a system of a continuous set of scalar fields. For a particular choice of the metric in the space of fields we find that the classical Dirac-Nambu-Goto brane theory arises as an effective theory of such an underlying quantum field theory. Quantization of branes is important for the brane world scenarios, and thus for "quantum gravity".

39 pages; Normalization factors in Appendix C corrected; also some other spotted typos corrected

References in corpus (3)

• On the quantisation of gravity by embedding spacetime in a higher dimensional space
• Benchmarks on the brane
• General Principles of Brane Kinematics and Dynamics

Cited by in corpus (7)

• On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches
• Manifestly Covariant Canonical Quantization of the Scalar Field and Particle Localization
• Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
• Branes and Quantized Fields
• A Novel Approach to Quantum Gravity in the Presence of Matter without the Problem of Time
• Lovelock type brane gravity from a minimal surface perspective
• Extended Relativity: Beyond