The fifth dimension in the worldline formalism, holography, and the Wilson flow
arXiv:1404.0011 · doi:10.1103/PhysRevD.89.106009
Abstract
We develop a model for hadrons in the framework of the worldline formalism. While being based wholly in four-dimensional quantum field theory, it shares many features with holographic approaches: Already by the use of the worldline formalism the approach appears intrinsically quantum mechanical. As auxiliary fifth dimension Schwinger's proper time is grouped with the physical four spacetime dimensions into an AdS5 geometry, which is warped due to conformal-symmetry breaking effects. Hidden local symmetry is emergent. The four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow). A variational principle for the flow reproduces exactly the corresponding holographic computation. The worldline approach also yields the higher-dimensional description in the non-relativistic case.
13 pages, 3 figures; v2: more references; v3: less typos, published version
References in corpus (16)
- Linear Confinement and AdS/QCD
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
- Light-Front Holography: A First Approximation to QCD
- Worldline Instantons II: The Fluctuation Prefactor
- A negative S parameter from Holographic Technicolor
- Holographic Estimate of Oblique Corrections for Technicolor
- Multidimensional Worldline Instantons
- Holographic Bosonic Technicolor
- Holographic Electroweak Symmetry Breaking from D-branes
- Constraining vectors and axial-vectors in walking technicolour by a holographic principle
- Gutzwiller's Trace Formula and Vacuum Pair Production
- Generalised bottom-up holography and walking technicolour
- Beyond The Quenched (or Probe Brane) Approximation in Lattice (or Holographic) QCD
- Towards a Born term for hadrons