Spacetime Energy Decreases under World-sheet RG Flow

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Published 8 February 2003 Published under licence by IOP Publishing Ltd
, , Citation Michael Gutperle et al JHEP01(2003)073 DOI 10.1088/1126-6708/2003/01/073

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.

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10.1088/1126-6708/2003/01/073