Educing the volume out of the phase space boundary

Details Educing the volume out of the phase space boundary Educing the volume out of the phase space boundary

2002-11-22

arxiv.org/abs/hep-th/0211211v3

Int.J.Mod.Phys. A21 (2006) 3967-3989

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, added more comments and references

Scientific paper

We explicitly show that, in a system with T-duality symmetry, the configuration space volume degrees of freedom may hide on the surface boundary of the region of accessible states with energy lower than a fixed value. This means that, when taking the decompactification limit (big volume limit), a number of accessible states proportional to the volume is recovered even if no volume dependence appears when energy is high enough. All this behavior is contained in the exact way of computing sums by making integrals. We will also show how the decompactification limit for the gas of strings can be defined in a microcanonical description at finite volume.

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