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The approximate stress-energy tensor of the conformally invariant masslessspin-1/2 field in the Hartle-Hawking state in the Schwarzschild spacetime isconstructed. It is shown that by solving the conservation equation in conformalspace and utilizing the regularity conditions in a physical metric one obtainsthe stress-energy tensor that is in a good agreement with the numericalcalculations. The back reaction of the quantized field upon the spacetimemetric is briefly discussed

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Approximate stress-energy tensor of the massless spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>field in Schwarzschild spacetime

Approximate stress-energy tensor of the massless spin-1/2field in Schwarzschild spacetime