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arXiv · 1711.10517

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

Soke Yuen Yong·Dam Thanh Son
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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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Soke Yuen Yong, Dam Thanh Son. 2017-11-28. Effective field theory for one-dimensional nonrelativistic particles with contact interaction. https://doi.org/10.1103/physreva.97.043630

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