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Entanglement in Relativistic Quantum Field Theory

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arxiv hep-th/0408062 v2 pith:2HRG2RFU submitted 2004-08-09 hep-th cond-mat.otherquant-ph

Entanglement in Relativistic Quantum Field Theory

classification hep-th cond-mat.otherquant-ph
keywords entanglementfieldquantumdifferentrelativisticsomespacetimetheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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I present some general ideas about quantum entanglement in relativistic quantum field theory, especially entanglement in the physical vacuum. Here, entanglement is defined between different single particle states (or modes), parameterized either by energy-momentum together with internal degrees of freedom, or by spacetime coordinate together with the component index in the case of a vector or spinor field. In this approach, the notion of entanglement between different spacetime points can be established. Some entanglement properties are obtained as constraints from symmetries, e.g., under Lorentz transformation, space inversion, time reverse and charge conjugation.

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