## Abstract

We have recently presented evidence that in configurations dominating the regularized pure-glue QCD path integral, the topological charge density constructed from the overlap Dirac operator organizes into an ordered space-time structure. It was pointed out that, among other properties, this structure exhibits two important features: it is low-dimensional and geometrically global, i.e., consisting of connected sign-coherent regions with local dimensions 1≤d<4, and spreading over arbitrarily large space-time distances. Here we show that the space-time structure responsible for the origin of topological susceptibility indeed exhibits global behavior. In particular, we show numerically that topological fluctuations are not saturated by localized concentrations of most intense topological charge density. To the contrary, the susceptibility saturates only after the space-time regions with most intense fields are included, such that geometrically global structure is already formed. We demonstrate this result both at the fundamental level (full topological density) and at low energy (effective density). The drastic mismatch between the point of fluctuation saturation (≈50% of space-time at low energy) and that of global structure formation (<4% of space-time at low energy) indicates that the ordered space-time structure in topological charge is inherently global and that topological charge fluctuations in QCD cannot be understood in terms of individual localized pieces. Description in terms of global brane-like objects should be sought instead.

Original language | English |
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Pages (from-to) | 21-28 |

Number of pages | 8 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 612 |

Issue number | 1-2 |

DOIs | |

State | Published - Apr 14 2005 |

### Bibliographical note

Funding Information:This work was supported in part by US Department of Energy under grants DE-FG05-84ER40154 and DE-FG02-95ER40907. I.H. acknowledges the hospitality of Kavli Institute of Theoretical Physics (and the organizers of the program “Modern Challenges for Lattice Gauge Theory”) where this manuscript was finalized.

## ASJC Scopus subject areas

- Nuclear and High Energy Physics