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arXiv · 1107.3840

Scale without Conformal Invariance: Theoretical Foundations

Jean-François Fortin·Benjamín Grinstein·Andreas Stergiou
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Abstract

We present the theoretical underpinnings of scale without conformal invariance in quantum field theory. In light of our results the gradient-flow interpretation of renormalization-group (RG) flow is challenged, due to deep connections between scale-invariant theories and recurrent behaviors in the RG. We show that, on scale-invariant trajectories, there is a redefinition of the dilatation current that leads to generators of dilatations that generate dilatations. Finally, we develop a systematic algorithm for the search of scale-invariant trajectories in perturbation theory.

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Jean-François Fortin, Benjamín Grinstein, Andreas Stergiou. 2015-09-11. Scale without Conformal Invariance: Theoretical Foundations. https://doi.org/10.1007/jhep07(2012)025

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