Veneziano amplitudes, spin chains and Abelian reduction of QCD
arXiv:0810.0250 · doi:10.1016/j.geomphys.2009.01.006
Abstract
Although QCD can be treated perturbatively in the high energy limit, lower energies requre uses of nonperturbative methods such as ADS/CFT and/or Abelian reduction.These methods are not equivalent. In this paper we provide arguments in favor of the Abelian reduction methods. This is achieved by further developing results of our recent works reanalyzing Veneziano and Veneziano-like amplitudes and the models associated with these amplitudes. It is shown, that the obtained new partition function for these amplitudes can be mapped exactly into that for the Polychronakos-Frahm spin chain model recoverable from the Richardson-Gaudin XXX spin chain model used originally for treatments of the BCS-type superconductivity. Because of this, it is demonstrated that the obtained mapping is compatible with the method of Abelian reduction.
37 pages, 1 figure
References in corpus (18)
- Physics and Mathematics of Calogero particles
- Quantum spectral curves, quantum integrable systems and the geometric Langlands correspondence
- Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
- Solving Pure Yang Mills in 2+1 Dimensions
- Towards physically motivated proofs of the Poincare' and geometrization conjectures
- Knots as possible excitations of the quantum Yang-Mills fields
- Glueball mass from quantized knot solitons and gauge-invariant gluon mass
- Magnetic monopoles and center vortices as gauge-invariant topological defects simultaneously responsible for confinement
- Geometric Endoscopy and Mirror Symmetry
- Spectra and Symmetry in Nuclear Pairing
- Quantum Signatures of Solar System Dynamics
- Heisenberg Honeycombs Solve Veneziano Puzzle
- Heavy hadron spectra from spin chains and strings
- On the spectrum of pure Yang-Mills theory
- Traces of Mirror Symmetry in Nature
- AdS/CFT and QCD
- Landau's Last Paper and its Impact on Developments in Mathematics, Physics and Other Disciplines in New Millennium
- New strings for old Veneziano amplitudes IV.Connections with spin chains and other stochastic systems
Cited by in corpus (4)
- Gravity assisted solution of the mass gap problem for pure Yang-Mills fields
- Black magic session of concordance: Regge mass spectrum from Casson's invariant
- Veneziano Amplitudes, Spin Chains and String Models
- Searching for high temperature superconductivity: From Mendeleev to Seiberg-Witten via Madelung and beyond