Cooling, Physical Scales and Topology

Abstract

We develop a cooling method controlled by a physical cooling radius that defines a scale below which fluctuations are smoothed out while leaving physics unchanged at all larger scales. We apply this method to study topological properties of lattice gauge theories, in particular the behaviour of instantons, dislocations and instanton--anti-instanton pairs. Monte Carlo results for the SU(2) topology are presented. We find that the method provides a means to prevent instanton--anti-instanton annihilation under cooling. While the instanton sizes are largely independent from the smoothing scale, the density and pair separations are determined by the particular choice made for this quantity. We discuss the questions this raises for the "physicality" of these concepts.

25 pages, 8 figures, minor corrections, references added

References in corpus (4)

• Topological Structure of the SU(3) Vacuum
• Instanton Content of the SU(3) Vacuum
• Revealing Topological Structure in the SU(2) Vacuum
• Action and topological density carried by Abelian monopoles in finite temperature pure SU(2) gauge theory: an analysis using RG smoothing

Cited by in corpus (38)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
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• Off-equilibrium sphaleron transitions in the Glasma
• Direct instantons, topological charge screening and QCD glueball sum rules
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Holographic glueball structure
• Instantons and $<A^2>$ Condensate
• The strong coupling constant at small momentum as an instanton detector
• Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow
• Vacuum structure revealed by over-improved stout-link smearing compared with the overlap analysis for quenched QCD
• Electroweak instantons/sphalerons at VLHC?
• Calibration of Smearing and Cooling Algorithms in SU(3)-Color Gauge Theory
• Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
• Improved Smoothing Algorithms for Lattice Gauge Theory
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Quark mass effects on the topological susceptibility in QCD
• Topology in 2D CP**(N-1) models on the lattice: a critical comparison of different cooling techniques
• Searching for KvBLL calorons in SU(3) lattice gauge field ensembles
• Calorons in SU(3) lattice gauge theory
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Non-Abelian chiral instabilities at high temperature on the lattice
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• QCD vacuum structure
• $0^{++}$ scalar glueball in finite-width Gaussian sum rules
• Cooling Stochastic Quantization with colored noise
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Improved superposition schemes for approximate multi-caloron configurations
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
• QCD-Instantons and Conformal Space-Time Inversion Symmetry
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Topology in CP(N-1) models: a critical comparison of different cooling techniques
• O.P.E. and Power Corrections to the QCD coupling constant
• Gauge invariant Z_2 vortex vacuum textures and the SU(2) gluon condensate
• An Instanton Picture O.P.E. <A^2> Condensate?
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation
• QCD topology using scale controlled cooling: Densities and cooling invariant observables
• Cooling, Physical Scales and the Vacuum Structure of Y-M Theories