Conformal Invariance for Non-Relativistic Field Theory

Details Conformal Invariance for Non-Relativistic Field Theory Conformal Invariance for Non-Relativistic Field Theory

1999-10-04

arxiv.org/abs/hep-th/9910025v3

Phys.Lett. B474 (2000) 145-152

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, journal version, additional clarifying remarks added

Scientific paper

10.1016/S0370-2693(00)00006-X

Momentum space Ward identities are derived for the amputated n-point Green's functions in 3+1 dimensional non-relativistic conformal field theory. For n=4 and 6 the implications for scattering amplitudes (i.e. on-shell amputated Green's functions) are considered. Any scale invariant 2-to-2 scattering amplitude is also conformally invariant. However, conformal invariance imposes constraints on off-shell Green's functions and the three particle scattering amplitude which are not automatically satisfied if they are scale invariant. As an explicit example of a conformally invariant theory we consider non-relativistic particles in the infinite scattering length limit.

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