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  Quantum Field Theory of Geometry

Ashtekar, A., & Lewandowski, J. (1999). Quantum Field Theory of Geometry. In T. Y. Cao (Ed.), Conceptual foundations of quantum field theory (pp. 187-207). Cambridge [u.a.]: Cambridge University Press.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5902-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5903-B
Genre: Conference Paper

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quantum.pdf (Preprint), 235KB
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 Creators:
Ashtekar, Abhay1, Author
Lewandowski, Jerzy, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: Over the past five years, there has been significant progress on the problem of quantization of diffeomorphism covariant field theories with {\it local} degrees of freedom. The absence of a background space-time metric in these theories gives rise to a host of conceptual and technical difficulties because most of the familiar methods from axiomatic, constructive and perturbative quantum field theory are no longer applicable. Perhaps the most striking examples of these problems arise in the construction of a quantum field theory of geometry. We show that these problems can be tackled using new non-perturbative methods. In particular, one can rigorously define certain geometric operators and show that their spectrum is discrete. Thus, there is a precise sense in which the geometry is quantized at the Planck scale and the continuum picture is only a coarse-grained approximation.

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Language(s): eng - English
 Dates: 1999
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: eDoc: 330082
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Title: Conference on the Foundations of Quantum Field Theory
Place of Event: Boston University
Start-/End Date: 1996-03-01 - 1996-03-03

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Title: Conceptual foundations of quantum field theory
Source Genre: Proceedings
 Creator(s):
Cao, Tian Yu, Editor
Affiliations:
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Publ. Info: Cambridge [u.a.] : Cambridge University Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 187 - 207 Identifier: ISBN: 0-521-63152-1*hb