Spacetime Energy Decreases under World-sheet RG Flow

Details Spacetime Energy Decreases under World-sheet RG Flow Spacetime Energy Decreases under World-sheet RG Flow

2002-11-07

arxiv.org/abs/hep-th/0211063v1

JHEP 0301:073,2003

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 4 figures, harvmac

Scientific paper

10.1088/1126-6708/2003/01/073

We study renormalization group flows in unitary two dimensional sigma models with asymptotically flat target spaces. Applying an infrared cutoff to the target space, we use the Zamolodchikov c-theorem to demonstrate that the target space ADM energy of the UV fixed point is greater than that of the IR fixed point: spacetime energy decreases under world-sheet RG flow. This result mirrors the well understood decrease of spacetime Bondi energy in the time evolution process of tachyon condensation.

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