Generalized Wick transform for gravity

Abhay Ashtekar

Research output: Contribution to journalArticlepeer-review

49 Citations (SciVal)


Using a key observation due to Thiemann, a generalized Wick transform is introduced to map the constraint functionals of Riemannian general relativity to those of the Lorentzian theory, including matter sources. This opens up a new avenue within “connection dynamics” where one can work, throughout, only with real variables. The resulting quantum theory would then be free of complicated reality conditions. The ramifications of this development to the canonical quantization program are discussed.

Original languageEnglish (US)
Pages (from-to)R2865-R2869
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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