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Nonlinear point transformations and covariant interpretation of path integrals

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Zeitschrift für Physik B Condensed Matter

Abstract

A covariant path integral derived in a previous paper is interpreted in a coordinate independent way, thus avoiding the prescription of special rules of calculus when doing nonlinear point transformations. Discretization rules adopted in previous work are here not assumed but proven by computing the short time propagator from the path integral without further assumptions.

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References

  1. DeWitt, B.S.: Rev. Mod. Phys.29, 377 (1957)

    Google Scholar 

  2. Cheng, K.S.: J. Math. Phys.13, 1723 (1972)

    Google Scholar 

  3. Edwards, S.F., Gulyaev, Y.V.: Proc. Roy. Soc. (London) A279, 229 (1964)

    Google Scholar 

  4. McLaughlin, D.W., Schulman, L.S.: J. Math. Phys.12, 2520 (1971)

    Google Scholar 

  5. Gervais, J.-L., Jevicki, A.: Nucl. Phys. B110, 93 (1976)

    Google Scholar 

  6. Fadeev, L.D.: Theor. Math. Phys.1, 3 (1969); Coleman, S.: Secret Symmetry, 1973 Erice Lectures

    Google Scholar 

  7. Mizrahi, M.M.: J. Math. Phys.16, 2201 (1975) Leschke, H., Schmutz, M.: Z. Physik B27, 85 (1977) Leschke, H., Hirshfeld, A.C., Suzuki, T.: Phys. Rev. D18, 2834 (1978)

    Google Scholar 

  8. Graham, R.: Z. Physik B26, 281 (1977)

    Google Scholar 

  9. Graham, R.: Proc. 13th IUPAP Conference Stat. Phys. Ann. Isr. Phys. Soc.2, 948 (1978)

    Google Scholar 

  10. Weiss, U.: Z. Physik B30, 429 (1978)

    Google Scholar 

  11. Wilson, K.G., Kogut, J.: Phys. Rep.12C, 75 (1974) Nauenberg, M., Kuttner, F., Furman, M.: Phys. Rev. A13, 1185 (1976)

    Google Scholar 

  12. Ringwood, G.A.: J. Phys. A9, 1253 (1976)

    Google Scholar 

  13. Veblen, O.: Invariants of Quadratic Differential Forms, Cambridge: Cambridge University Press 1962

    Google Scholar 

  14. Morette, C.: Phys. Rev.81, 848 (1951) Rajaraman, R.: Phys. Rep.21C, 227 (1975) Langouche, F., Roekaerts, D., Tirapegui, E.: preprint KUL TF 78/003 (1978)

    Google Scholar 

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Author notes

  1. U. Deininghaus

    Present address: Institut f. Physik, Universität Dortmund, 4600, Dortmund 50, West Germany

Authors and Affiliations

  1. Fachbereich Physik, Universität Essen — Gesamthochschule, Unionstraße 2, D-4300, Essen 1, Federal Republic of Germany

    U. Deininghaus & R. Graham

Authors
  1. U. Deininghaus
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  2. R. Graham
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Deininghaus, U., Graham, R. Nonlinear point transformations and covariant interpretation of path integrals. Z Physik B 34, 211–219 (1979). https://doi.org/10.1007/BF01322143

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  • DOI: https://doi.org/10.1007/BF01322143

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