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Conformal Invariance for Non-Relativistic Field Theory | | Thomas Mehen
; Iain W. Stewart
; Mark B. Wise
; | | Date: |
4 Oct 1999 | | Journal: | Phys.Lett. B474 (2000) 145-152 | | Subject: | hep-th hep-ph nucl-th | | Abstract: | 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. | | Source: | arXiv, hep-th/9910025 | | Services: | Forum | Review | PDF | Favorites | |
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