Spacetime Energy Decreases under World-sheet RG Flow
arXiv:hep-th/0211063 · doi:10.1088/1126-6708/2003/01/073
Abstract
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.
25 pages, 4 figures, harvmac