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Derivative expansions for affinely quantized field theories

Carl M. Bender

R. J. Rivers and C. C. Wong

  • Department of Physics, Washington University, St. Louis, Missouri 63130

  • Physics Department, Imperial College, London SW7 2BZ, United Kingdom

Phys. Rev. D 41, 455 – Published 15 January, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.455

Abstract

We examine the existence of an affinely (noncanonically) quantized free scalar theory via an expansion in powers of derivatives of the field. We show that with the simplest choice of measure affine quantization does not provide a useful basis for a nontrivial, well-defined theory.

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