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Trapped Ion Quantum Computing

Effective field theory for one-dimensional nonrelativistic particles with contact interaction

arXiv
Authors: Soke Yuen Yong, Dam Thanh Son

Year

2017

Paper ID

24833

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

We consider a field theory describing interacting nonrelativistic particles of two types, which map to each other under time reversal, with point-like interaction. We identify a new type of interaction which depends on the relative velocity between the particles. We compute the renormalization group running of the coupling constants and find a fixed point and a fixed line. We show that the scattering amplitudes can be expressed in terms of three parameters. The result matches with a quantum mechanical analysis and represents the most general point-like interaction consistent with unitarity and time reversal invariance.

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  • We consider a field theory describing interacting nonrelativistic particles of two types, which map to each other under time reversal, with point-like interaction.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.10517 [2] arXiv https://arxiv.org/abs/1711.10517 [3] Publisher https://arxiv.org/abs/1711.10517

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