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Construction of a selfadjoint, strictly positive transfer matrix for Euclidean lattice gauge theories

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Abstract

It is shown that physical positivity holds in Wilson's lattice gauge theories, i.e. transition probabilities between gauge invariant states are non-negative and the quantum mechanical Hamiltonian has real eigenvalues only.

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References

  1. Wilson, K. G.: Phys. Rev. D10, 2445 (1974); Quarks and strings on a lattice CLNS-321 (1975); In: Gauge theories and modern field theory, Boston conference 1975 (eds. R. Arnowitt, P. Nath). Cambridge, Mass.: MIT-Press 1976

    Google Scholar 

  2. Osterwalder, K., Schrader, R.: Helv. Phys. Acta46, 277 (1973); Commun. math. Phys.42, 281 (1975)

    Google Scholar 

  3. Wilson, K. G.: Cargèse lectures 1976. New York: Plenum Press (to appear)

  4. e.g. Hammermesh, M.: Group theory. Reading, Mass.: Addison-Wesley 1964

    Google Scholar 

  5. Osterwalder, K.: private communication

  6. Belavin, A., Polyakov, A., Schwartz, A., Tyupkin, Y.: Phys. Lett.59B, 85 (1975)

    Google Scholar 

  7. Lüscher, M.: DESY-76/31, to be published in Nucl. Phys. B117, 475 (1977)

    Google Scholar 

  8. Berezin, F. A.: The method of second quantization. New York: Academic Press 1966

    Google Scholar 

  9. Kogut, J., Susskind, L.: Phys. Rev. D11, 395 (1975)

    Google Scholar 

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Communicated by A. Jaffe

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Lüscher, M. Construction of a selfadjoint, strictly positive transfer matrix for Euclidean lattice gauge theories. Commun.Math. Phys. 54, 283–292 (1977). https://doi.org/10.1007/BF01614090

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