DATE: |
2007-07-12 14:00 - 15:00 |
PLACE: |
Kenkyu Honkan 2F RM 220 |
TITLE: |
Quantum Gravity and the Renormalization Group |
CONTACT: |
tsuda |
SPEAKER: |
Herbert W. Hamber (University of California, Irvine) |
LANGUAGE: |
English |
ABSTRACT: |
In the talk I plan to provide an overview of the applications of Wilson's renormalization group (RG) to problems in quantum gravitation. I will first discuss the development of the RG for continuum gravity within the framework of Feynmnan's covariant path integral approach. Then I will discuss a number of issues that arise when implementing the path integral approach with an explicit lattice UV regulator, and how non-perturbative RG flows and universal non-trivial scaling dimensions can in principle be extracted from these calculations.
Towards the end of my talk I will discuss recent attempts at formulating RG flows for gravitational couplings within the framework of a set of manifestly covariant, but non-local, effective field equations suitable for quantum cosmology.
References:
"Renormalization group running of Newton's G" CERN-TH-2006-145, July 2006. 61pp. hep-th/0607228, Published in Phys.Rev.D75:084014,2007 (with R. Williams).
"Discrete and continuum quantum gravity" AEI preprint Apr 2007. 218pp. hep-th/07042895, submitted to Reviews of Modern Physics (RMP).
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