Free Euclidean Markov Fields of Integer Spin in the Landau Gauge

  • Carlos Delfino Galles
  • Ceferino Ruiz Garrido
Part of the International Centre for Mechanical Sciences book series (CISM, volume 261)


The generalization of the Markov property proposed by Nelson1 as a means of reconstructing a scalar quantum field theory in Minkowski space starting from a Euclidean one has been extended by Yao2 and Lim3 to electromagnetic and gravitational fields. It is to be hoped that the changes resulting from the use of Euclidean space might throw some light on the difficulties attendant on higher-spin theories. In this note we shall consider the case of massless particles of arbitrary spin showing that in the Landau gauge the field is Markovian.


Minkowski Space Markov Property Massless Particle Landau Gauge Arbitrary Spin 
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    S.C. Lim, J. Phys. A 9, 1743 (1976).ADSCrossRefGoogle Scholar
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    C.D. Galles, Prog. Theor. Phys. 60, 313 (1978).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 1980

Authors and Affiliations

  • Carlos Delfino Galles
    • 1
  • Ceferino Ruiz Garrido
    • 2
  1. 1.MathématiquesUniversité P. et M. CurieFrance
  2. 2.MathématiquesUniversité Paris VIIFrance

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