Two‐Dimensional Field Theories

Berkov, A. V.; Nikitin, Yu. P.; Rosental, I. L.

doi:10.1002/prop.19810290702

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2012

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“…For a comprehensive review on (1+1) dimensional quantum fields theories, see e.g. [8]. Obviously, due to the larger phase space, force laws for one-dimensional systems usually have different scaling properties with respect to the inter-particle spacing, but nevertheless fundamental aspects of the particle dynamics can be obtained with these toy models.…”

Section: Introductionmentioning

confidence: 99%

Local and nonlocal spatial densities in quantum field theory

Wagner

Ware

Stefanovich³

et al. 2012

Phys. Rev. A

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We use a one-dimensional model system to compare the predictions of two different "yardsticks" to compute the position of a particle from its quantum field theoretical state. Based on the first yardstick (defined by the Newton-Wigner position operator), the spatial density can be arbitrarily narrow and its time-evolution is superluminal for short time intervals. Furthermore, two spatially distant particles might be able to interact with each other outside the light cone, which is manifested by an asymmetric spreading of the spatial density. The second yardstick (defined by the quantum field operator) does not permit localized states and the time evolution is subluminal.

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Section: Introductionmentioning

confidence: 99%