Weighted scale invariant quantum field theories

Details Weighted scale invariant quantum field theories Weighted scale invariant quantum field theories

2008-01-08

arxiv.org/abs/0801.1216v2

JHEP0802:051,2008

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 3 figures; v2: JHEP version

Scientific paper

10.1088/1126-6708/2008/02/051

We study a class of Lorentz violating quantum field theories that contain higher space derivatives, but no higher time derivatives, and become renormalizable in the large N expansion. The fixed points of their renormalization-group flows provide examples of exactly "weighted scale invariant" theories, which are noticeable Lorentz violating generalizations of conformal field theories. We classify the scalar and fermion models that are causal, stable and unitary. Solutions exist also in four and higher dimensions, even and odd. In some explicit four dimensional examples, we compute the correlation functions to the leading order in 1/N and the critical exponents to the subleading order. We construct also RG flows interpolating between pairs of fixed points.

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