Holographic Lifshitz flows
Matteo Baggioli, Oriol Pujolas, Xin-Meng Wu

TL;DR
This paper investigates holographic models of Lifshitz RG flows, demonstrating how Lorentz invariance can emerge dynamically in the IR from Lorentz-violating UV fixed points, with implications for strongly coupled theories.
Contribution
It introduces a minimal holographic model that efficiently captures the emergence of Lorentz invariance and constructs a line of Lifshitz fixed points with varying scaling.
Findings
Larger UV dynamical exponent z_{UV} accelerates Lorentz symmetry recovery in IR.
A line of fixed points with different Lifshitz scalings is explicitly realized.
The a-function is monotonic along all studied Lorentz-violating RG flows.
Abstract
Without Lorentz symmetry, generic fixed points of the renormalization group (RG) are labelled by their dynamical (or `Lifshitz') exponent . Hence, a rich variety of possible RG flows arises. The first example is already given by the standard non-relativistic limit, which can be viewed as the flow from a UV fixed point to a IR fixed point. In strongly coupled theories, there are good arguments suggesting that Lorentz invariance can emerge dynamically in the IR from a Lorentz violating UV. In this work, we perform a generic study of fixed points and the possible RG flows among them in a minimal bottom-up holographic model without Lorentz invariance, aiming to shed light on the possible options and the related phenomenology. We find: i) A minor generalization of previous models involving a massive vector field with allowed self-couplings leads to a much more efficient…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
