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Geometric Continuum Regularization of Quantum Field Theory

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Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Part of the book series: NATO ASI Series ((NSSB,volume 224))

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Abstract

An overview of the continuum regularization program is given. The program is traced from its roots in stochastic quantization, with emphasis on the examples of regularized gauge theory, the regularized general non-linear sigma model and regularized quantum gravity. In its coordinate-invariant form, the regularization is seen as entirely geometric: only the supermetric on field deformations is regularized, and the prescription provides universal non-perturbative invariant continuum regularization across all quantum field theory.

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Author information

Authors and Affiliations

  1. Department of Physics, University of California and Theoretical Physics Group Lawrence Berkeley Laboratory, Berkeley, California, 94720, USA

    M. B. Halpern

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  1. M. B. Halpern
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Editor information

Editors and Affiliations

  1. The Niels Bohr Institute, Copenhagen, Denmark

    P. H. Damgaard

  2. University of Vienna, Vienna, Austria

    H. Hüffel

  3. Utah State University, Logan, Utah, USA

    A. Rosenblum

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© 1990 Springer Science+Business Media New York

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Halpern, M.B. (1990). Geometric Continuum Regularization of Quantum Field Theory. In: Damgaard, P.H., Hüffel, H., Rosenblum, A. (eds) Probabilistic Methods in Quantum Field Theory and Quantum Gravity. NATO ASI Series, vol 224. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3784-7_4

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  • DOI: https://doi.org/10.1007/978-1-4615-3784-7_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6686-7

  • Online ISBN: 978-1-4615-3784-7

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