Understanding the U(1) problem through dyon configuration in the Abelian projection
arXiv:hep-th/0407210 · doi:10.1103/PhysRevD.71.114019
Abstract
We show that the magnetic monopole promoted to the dyon due to the vacuum angle resolves the U(1) problem in the sense that the dyon obtained in this way gives a dominant contribution to the topological susceptibility. For this purpose, we derive an Abelian-projected effective gauge theory written in terms of Abelian degrees of freedom, which is obtained by integrating out all the off-diagonal degrees of freedom involved in the SU(2) Yang-Mills theory with the vacuum angle . We evaluate the topological susceptibility by estimating the classical part of the effective dyon action obtained by performing the duality transformation. The obtained result is consistent with the Veneziano--Witten formula.
arXiv comment12 pages,(v2) some new references and minor changes to the text, clarifying comments added, no changes in results. (v3)Title modified, minor corrections
References in corpus (33)
- Instantons in QCD
- Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
- Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
- Topological susceptibility at zero and finite in SU(3) Yang-Mills theory
- Topology of the SU(2) vacuum: a lattice study using improved cooling
- Topological susceptibility in the SU(3) gauge theory
- Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
- Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
- Abelian dominance and gluon propagators in the Maximally Abelian gauge of SU(2) lattice gauge theory
- An analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge
- Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory
- Instantons and Monopoles in the Maximally Abelian Gauge
- Abelian dominance in low-energy Gluodynamics due to dynamical mass generation
- Cooling and the SU(2) Instanton Vaccuum
- Magnetic monopole loop for the Yang-Mills instanton
- Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory
- Instantons or Monopoles? Dyons
- Magnetic condensation, Abelian dominance and instability of Savvidy vacuum
- On ghost condensation, mass generation and Abelian dominance in the Maximal Abelian Gauge
- A physical meaning of mixed gluon--ghost condensate of mass dimension two
- Topology at zero and finite T in SU(2) Yang-Mills theory
- An Almost Perfect Quantum Lattice Action for Low-energy SU(2) Gluodynamics
- Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics
- Evidence of Strong Correlation between Instanton and QCD-monopole on SU(2) Lattice
- Topological Aspect of Abelian Projected SU(2) Lattice Gauge Theory
- Coexistence of monopoles and instantons for different topological charge definitions and lattice actions
- Analyticity in theta on the lattice and the large volume limit of the topological susceptibility
- Lattice Study of Anomaly: The Role of QCD-Monopoles
- A Quantum Perfect Lattice Action for Monopoles and Strings
- Abelian projected SU(2) Yang-Mills action for renormalisation group flows
- Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics II
- Topology in SU(2) Yang-Mills theory
- Topology by improved cooling: susceptibility and size distributions