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The Ultraviolet Divergences of Einstein Gravity


Goroff, Marc Howard (1986) The Ultraviolet Divergences of Einstein Gravity. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/zntd-4x91.


We discuss a two-loop calculation showing that the S matrix of Einstein's theory of gravity contains nonrenormalizable ultraviolet divergences in four dimension. We discuss the calculation in both background field and normal field theory. We describe a new method for dealing with ghost fields in gauge theories by combining them with suitable extensions of the gauge fields in higher dimensions. We show how using subtracted integrals in the calculation of higher loop graphs simplifies the calculation in the background field method by eliminating the need for "mixed" counterterms. Finally, we make some remarks about the implications of our result for supergravity theories.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Schwarz, John H.
Thesis Committee:
  • Schwarz, John H. (chair)
  • Gell-Mann, Murray
  • Porter, Frank C.
  • Cross, Michael Clifford
Defense Date:18 December 1985
Additional Information:Given name listed in 1986 Commencement Program varies from actual thesis: Mark Howard Goroff.
Record Number:CaltechTHESIS:04052019-155701481
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11445
Deposited By: Mel Ray
Deposited On:10 Apr 2019 14:44
Last Modified:16 Apr 2021 23:10

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