Holographic Lifshitz flows
arXiv:2407.11552 · doi:10.1007/JHEP09(2024)175
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 emergence of Lorentz invariance than in the previous attempts. Moreover, we find that generically the larger is the UV dynamical exponent the faster is the recovery of Lorentz symmetry in the IR. ii) We construct explicitly a holographic model with a line of fixed points, realizing different Lifshitz scaling along the line. iii) We also confirm the monotonicity of a recently proposed a-function along all our Lorentz violating RG flows.
v2: minor revisions, matching the published version that will appear in JHEP
References in corpus (65)
- Graphene: Status and Prospects
- Quantum Gravity at a Lifshitz Point
- Topological Materials: Weyl Semimetals
- Data Tables for Lorentz and CPT Violation
- Gravity Duals of Lifshitz-like Fixed Points
- On Renormalization Group Flows in Four Dimensions
- Effective field theories for heavy quarkonium
- Holographic c-theorems in arbitrary dimensions
- A healthy extension of Horava gravity
- Effective Holographic Theories for low-temperature condensed matter systems
- Quantum Theory of a Nematic Fermi Fluid
- Seeing a c-theorem with holography
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Spacetime and the Holographic Renormalization Group
- Strong Double Higgs Production at the LHC
- A Primer on Energy Conditions
- Metamagnetic Quantum Criticality
- Lifshitz holography
- Lorentz Violation in Supersymmetric Field Theories
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- A c-theorem for the entanglement entropy
- Renormalization group in Lifshitz-type theories
- Strongly-coupled anisotropic gauge theories and holography
- Universal self-similar dynamics of relativistic and nonrelativistic field theories near nonthermal fixed points
- Interacting classical dimers on the square lattice
- A Naturally Light Dilaton and a Small Cosmological Constant
- Classical dimers with aligning interactions on the square lattice
- A naturally light dilaton
- Holographic Axion Model: a simple gravitational tool for quantum matter
- A Practical Mini-Course on Applied Holography
- Strong versus weak wave-turbulence in relativistic field theory
- Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
- Relativistic Corrections to Nonrelativistic Effective Field Theories
- Naturally light dilatons from nearly marginal deformations
- Colloquium: Hydrodynamics and holography of charge density wave phases
- On the Null Energy Condition and Causality in Lifshitz Holography
- Emergent Lorentz invariance from Strong Dynamics: Holographic examples
- The emergence of a universal limiting speed
- -Theorem for Anisotropic RG Flows from Holographic Entanglement Entropy
- Holographic conformal transition and light scalars
- Supersymmetric Aether
- A Simple UV-Completion of QED in 5D
- Lifshitz as a deformation of Anti-de Sitter
- Nonrelativistic Effective Field Theory for Axions
- Trans-IR Flows to Black Hole Singularities
- Detecting Topological Quantum Phase Transitions via the c-Function
- On Lorentz-Violating Supersymmetric Quantum Field Theories
- Flows involving Lifshitz solutions
- Interpolating from Bianchi Attractors to Lifshitz and AdS Spacetimes
- Condensates in Relativistic Scalar Theories
- Consistent Lorentz Violation in Flat and Curved Space
- Lorentz Violation from the Higgs Portal
- Lifshitz from AdS at finite temperature and top down models
- Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
- Anisotropic Flows into Black Holes
- Lifshitz flows in IIB and dual field theories
- Lifshitz to AdS flow with interpolating p-brane solutions
- Emergent Lorentz invariance with chiral fermions
- Breaking rotations without violating the KSS viscosity bound
- Interpolating solution from AdS to hyperscaling violating Lifshitz space-time
- Quantum Formation of Topological Defects
- Asymptotically free lattice gauge theory in five dimensions
- Holographic RG flows with nematic IR phases
- Emergence of classical structures from the quantum vacuum
- RG Flows and Symmetry Enhancement in Five-Dimensional Lifshitz Gauge Theories