A Thermodynamic Interpretation of Time for Rolling Tachyons

Details A Thermodynamic Interpretation of Time for Rolling Tachyons A Thermodynamic Interpretation of Time for Rolling Tachyons

2006-12-11

arxiv.org/abs/hep-th/0612090v1

Phys.Rev.D75:063515,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

10.1103/PhysRevD.75.063515

We show that the open string worldsheet description of brane decay (discussing a specific example of a rolling tachyon background) can be related to a sequence of points of thermodynamic equilibrium of a grand canonical ensemble of point charges on a circle, the Dyson gas. Subsequent instants of time are related to neighboring values of the chemical potential or the average particle number . The free energy of the system decreases in the direction of larger or later times, thus defining a thermodynamic arrow of time. Time evolution equations are mapped to differential equations relating thermal expectation values of certain observables at different points of thermal equilibrium. This suggests some lessons concerning emergence of time from an underlying microscopic structure in which the concept of time is absent.

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