The Stochastic Versus the Euclidean Approach to Quantum Fields on a Static Space-Time

  • Gian Fabrizio De Angelis
  • Diego de Falco
  • Glauco Di Genova
Part of the NATO ASI Series book series (NSSB, volume 144)


Let (M,g) be a static manifold (for notational simplicity of dimension 2) with a metric of Lorentzian signature. Fix a global chart
$$ \Sigma :P \in M \to ({x^0},{x^1})\,{\mathbb{R}^2} $$
in which the metric satisfies:
$$ \frac{\partial }{{\partial {x^0}}}{g_{{\mu \nu }}} = 0,\,{g_{{10}}} = 0 $$


Harmonic Oscillator Lorentzian Signature Static Manifold Stochastic Mechanic Wightman Function 
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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • Gian Fabrizio De Angelis
    • 1
    • 2
  • Diego de Falco
    • 1
    • 2
  • Glauco Di Genova
    • 3
  1. 1.Dipartimento di FisicaUniversità di SalernoItaly
  2. 2.I.N.F.N, Sezione di NapoliItaly
  3. 3.S.I.S.S.A.TriesteItaly

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