The fate of conformal symmetry in the non-linear Schrödinger theory

Details The fate of conformal symmetry in the non-linear Schrödinger theory The fate of conformal symmetry in the non-linear Schrödinger theory

2007-12-21

arxiv.org/abs/0712.3686v3

Nucl.Phys.B803:363-380,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 5 figures. v3: version to be published; reference added; imaginary part of 4-point function corrected, unitarity che

Scientific paper

10.1016/j.nuclphysb.2008.05.018

The free Schroedinger theory in d space dimensions is a non-relativistic conformal field theory. The interacting non-linear theory preserves this symmetry in specific numbers of dimensions at the classical (tree) level. This holds in particular for the Phi^4-theory in d = 2. We compute the full quantum corrections to the 4-point function to show that the symmetry is broken by an anomalous contribution proportional to the exact beta-function

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