Effective long distance potential in holographic RG flows
arXiv:1902.04279 · doi:10.1007/JHEP04(2019)134
Abstract
We study the potential in strongly coupled non-conformal field theories with a non-trivial renormalization group flow via holography. We focus on the properties of this potential at an inter-quark separation large compared to the characteristic scale of the field theory. These are determined by the leading order IR physics plus a series of corrections, sensitive to the properties of the RG-flow. To determine those corrections, we propose a general method applying holographic Wilsonian renormalization to a dual string. We apply this method to examine in detail two sets of examples, -dimensional theories with an RG flow ending in an IR fixed point; and theories that are confining in the IR, in particular, the Witten QCD and Klebanov-Strassler models. In both cases, we find corrections with a universal dependence on the inter-quark separation. When there is an IR fixed point, that correction decays as a power . We explain that dependence in terms of a double-trace deformation in a one-dimensional defect theory. For a confining theory, the decay is exponential , with a scale of the order of the glueball mass. We interpret this correction using an effective flux tube description as produced by a background internal mode excitation induced by sources localized at the endpoints of the flux tube. We discuss how these results could be confronted with lattice QCD data to test whether the description of confinement via the gauge/gravity is qualitatively correct.
arXiv comment34 pages, 1 figure, new appendix with RG flow equation for the action and next order correction, references added, published version
References in corpus (66)
- Gauge Theory Correlators from Non-Critical String Theory
- Wilson loops in large N field theories
- Supergravity and a Confining Gauge Theory: Duality Cascades and SB-Resolution of Naked Singularities
- Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
- Nonlinear Fluid Dynamics from Gravity
- Embedding AdS Black Holes in Ten and Eleven Dimensions
- On the Holographic Renormalization Group
- Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
- Effective Holographic Theories for low-temperature condensed matter systems
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
- Gravitational Stability and Renormalization-Group Flow
- Holographic and Wilsonian Renormalization Groups
- Comments on gluon scattering amplitudes via AdS/CFT
- Fake Supergravity and Domain Wall Stability
- Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
- N=2 Supersymmetric RG Flows and the IIB Dilaton
- A Hybrid Strong/Weak Coupling Approach to Jet Quenching
- New Vacua of Gauged N=8 Supergravity
- Wilson Loops, Confinement, and Phase Transitions in Large N Gauge Theories from Supergravity
- Heavy ions and string theory
- The Effective Theory of Long Strings
- Hidden supersymmetry of domain walls and cosmologies
- Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
- Wilsonian Approach to Fluid/Gravity Duality
- Effective String Theory Revisited
- Consistent Type IIB Reductions to Maximal 5D Supergravity
- Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
- Regge Trajectories for Mesons in the Holographic Dual of Large-N_c QCD
- On the effective action of confining strings
- Deconstructing holographic liquids
- On the fakeness of fake supergravity
- Evidence for a new particle on the worldsheet of the QCD flux tube
- Corrections to Nambu-Goto energy levels from the effective string action
- Exotic RG Flows from Holography
- Closed flux tubes and their string description in D=3+1 SU(N) gauge theories
- Holographic RG flow and the Quantum Effective Action
- Navier-Stokes Equations on Black Hole Horizons and DC Thermoelectric Conductivity
- On the effective theory of long open strings
- Wilson Loop, Regge Trajectory and Hadron Masses in a Yang-Mills Theory from Semiclassical Strings
- Wilson Loops in string duals of Walking and Flavored Systems
- Flux Tube Spectra from Approximate Integrability at Low Energies
- Evolution of the jet opening angle distribution in holographic plasma
- Jet quenching in strongly coupled plasma
- Wilson Loop Renormalization Group Flows
- Shooting String Holography of Jet Quenching at RHIC and LHC
- Relativistic CFT Hydrodynamics from the Membrane Paradigm
- Effective string description of confining flux tubes
- Glueball Masses for the Deformed Conifold Theory
- Towards a Theory of the QCD String
- Quantum fluctuations of Wilson loops from string models
- Fluctuating Heavy Quark Energy Loss in Strongly-Coupled Quark-Gluon Plasma
- The effective string spectrum in the orthogonal gauge
- On the nonlinear KK reductions on spheres of supergravity theories
- A Class of N=1 Supersymmetric RG Flows from Five-dimensional N = 8 Supergravity
- IIB Supergravity and the E6(6) covariant vector-tensor hierarchy
- Rotating strings confronting PDG mesons
- A different kind of string
- N=4 "Fake" Supergravity
- Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
- Effective string theory and the long-range relativistic corrections to the quark-antiquark potential
- Dirichlet sigma models and mean curvature flow
- Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
- On the mass of the world-sheet `axion' in SU(N) gauge theories in 3+1 dimensions
- Domain walls of D=5 supergravity and fixed points of N=1 Super Yang Mills
- On multi-field flows in gravity and holography