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Phys. Rev. A 43, 6382–6385 (1991)

Manifestly Lorentz covariant formulation of the Einstein-Podolsky-Rosen problem using the Tomonaga-Schwinger formalism

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Partha Ghose
S. N. Bose National Centre for Basic Sciences, Salt Lake City, DB-17, Sector-1, Calcutta 700 064, India

Dipankar Home
Department of Physics, Bose Institute, 93/1, Acharya Prafulla Chandra Road, Calcutta 700 009, India

Received 31 August 1990; published in the issue dated June 1991

We show that the Tomonaga-Schwinger formalism in quantum field theory provides a manifestly Lorentz covariant description of an Einstein-Podolsky-Rosen (EPR) correlated state defined on a curved-space-like surface. This avoids the notion of a universal time and clearly demarcates between the completion of the measuring process on a member of an EPR pair and its nonlocal effect on the state of its partner. Being reciprocal and restricted to a spacelike surface, the latter is deterministic but not causal and is consistent with Lorentz invariance.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.43.6382
DOI:
10.1103/PhysRevA.43.6382
PACS:
03.30.+p