Revealing Topological Structure in the SU(2) Vacuum
arXiv:hep-lat/9711032 · doi:10.1016/S0550-3213(98)00181-3
Abstract
In this paper we derive a simple parametrization of the cycling method developed by us in our earlier work. The new method, called renormalization group (RG) mapping, consists of a series of carefully tuned APE-smearing steps. We study the relation between cycling and RG mapping. We also investigate in detail how smooth instantons and instanton-anti-instanton pairs behave under the RG mapping transformation. We use the RG mapping technique to study the topological susceptibility and instanton size distribution of SU(2) gauge theory. We find scaling in both quantities in a wide range of coupling values. Our result for the topological susceptibility, chi^1/4=220(6) MeV, agrees with our earlier results.
28 pages, LaTeX, 7 eps figures
References in corpus (2)
Cited by in corpus (49)
- Flavor Symmetry and the Static Potential with Hypercubic Blocking
- Theta dependence of SU(N) gauge theories in the presence of a topological term
- Gauge bosons at zero and finite temperature
- Microscopic Origin of \boldmath{} Symmetry Violation in the High Temperature Phase of QCD
- Instantons, the QCD Vacuum, and Hadronic Physics
- Domain wall fermions with improved gauge actions
- Exploring the structure of the quenched QCD vacuum with overlap fermions
- Lattice QCD with two dynamical flavors of domain wall quarks
- Low-lying fermion modes, topology and light hadrons in quenched QCD
- An SU(2) KvBLL caloron gas model and confinement
- A comprehensive picture of topological excitations in finite temperature lattice QCD
- Cooling, Physical Scales and Topology
- First results from 2+1-Flavor Domain Wall QCD: Mass Spectrum, Topology Change and Chiral Symmetry with
- Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
- The Kaon B-parameter from Quenched Domain-Wall QCD
- Improved Smoothing Algorithms for Lattice Gauge Theory
- Calorons and dyons at the thermal phase transition analyzed by overlap fermions
- The dyonic picture of topological objects in the deconfined phase
- Laplacian modes probing gauge fields
- Staggered Fermions and Gauge Field Topology
- Quantitative comparison of filtering methods in lattice QCD
- A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory
- Simulating Full QCD with the Fixed Point Action
- Searching for KvBLL calorons in SU(3) lattice gauge field ensembles
- The monopole content of topological clusters : have KvB calorons been found?
- Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
- Calorons in SU(3) lattice gauge theory
- Scaling and Eigenmode Tests of the Improved Fat Clover Action
- Topological Susceptibility on Dynamical Staggered Fermion Configurations
- Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
- Topological objects in QCD
- Topological aspects of G2 Yang-Mills theory
- Adjoint modes as probes of gauge field structure
- Confinement from semiclassical gluon fields in SU(2) gauge theory
- Comparing topological charge definitions using topology fixing actions
- Neutron Electric Dipole Moment with Domain Wall Quarks
- A composite massless vector boson
- Monopole Clustering and Color Confinement in the Multi-Instanton System
- Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
- Topological Susceptibility and Zero Mode Size in Lattice QCD
- Glueballs and topology with O(a)-improved lattice QCD
- Topological zero modes at nonzero chemical potential
- Gauge Singularities in the SU(2) Vacuum on the Lattice
- Propagators and topology
- Unquenching the topological susceptibility with an overlap action
- Filtered topological structure of the QCD vacuum: Effects of dynamical quarks
- Vacuum structure and string tension in Yang-Mills dimeron ensembles
- Cooling, Physical Scales and the Vacuum Structure of Y-M Theories
- Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation