Conformal Invariance for Non-Relativistic Field Theory

Journal Article (Academic article)

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.

Duke Authors

Cited Authors

  • Mehen, T; Stewart, IW; Wise, MB

Published Date

  • 2000

Published In

  • Phys. Lett. B

Volume / Issue

  • 474 /

Start / End Page

  • 145 - 152