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Non locality and causal evolution in QFT
Fabrizio Buscemi, Giuseppe Compagno
abstract: Non locality appearing in QFT during the free evolution of localized field
states and in the Feynman propagator function is analyzed. It is shown to be
connected to the initial non local properties present at the level of quantum
states and then it does not imply a violation of Einstein's causality. Then it
is investigated a simple QFT system with interaction, consisting of a classical
source coupled linearly to a quantum scalar field, that is exactly solved. The
expression for the time evolution of the state describing the system is given.
The expectation value of any arbitrary ``good'' local observable, expressed as
a function of the field operator and its space and time derivatives, is
obtained explicitly at all order in the field-matter coupling constant. These
expectation values have a source dependent part that is shown to be always
causally retarded, while the non local contributions are source independent and
related to the non local properties of zero point vacuum fluctuations.
- oai_identifier:
- oai:arXiv.org:quant-ph/0602221
- categories:
- quant-ph
- comments:
- Submitted to Journal of Physics B: 16 pages: 1 figure
- doi:
- 10.1088/0953-4075/39/15/S16
- arxiv_id:
- quant-ph/0602221
- journal_ref:
- J.Phys.B.At.Mol.Opt.Phys.39:S695-S709,2006
- created:
- 2006-02-27
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