English

Spacetime Energy Decreases under World-sheet RG Flow

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0211063,
  title  = {Spacetime Energy Decreases under World-sheet RG Flow},
  author = {Michael Gutperle and Matthew Headrick and Shiraz Minwalla and Volker Schomerus},
  journal= {arXiv preprint arXiv:hep-th/0211063},
  year   = {2009}
}

Comments

25 pages, 4 figures, harvmac