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

28 Nov 2017  ·  Yong Soke Yuen, Son Dam Thanh ·

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. read more

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Quantum Gases Nuclear Theory Quantum Physics