2000arXiv (Cornell University)Open access

Overlapping Instantons

Margarita Garcı́a Pérez, Tamás G. Kovács, Pierre van Baal

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Abstract

Overlapping instantons have an action density profile that significantly deviates from the simple addition of the density profiles of single instantons. This turns out to have important consequences for identifying the proper instanton content of a given configuration. Most dramatic is the case where the instantons are parallel in group space, leading to the effect of hiding large instantons. Sufficiently large instantons can have important contributions to a confining interaction.

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Overlapping instantons have an action density profile that significantly deviates from the simple addition of the density profiles of single instantons. This turns out to have important consequences for identifying the proper instanton content of a given configuration. Most dramatic is the case where the instantons are parallel in group space, leading to the effect of hiding large instantons. Sufficiently large instantons can have important contributions to a confining interaction.

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Available abstract

Overlapping instantons have an action density profile that significantly deviates from the simple addition of the density profiles of single instantons. This turns out to have important consequences for identifying the proper instanton content of a given configuration. Most dramatic is the case where the instantons are parallel in group space, leading to the effect of hiding large instantons. Sufficiently large instantons can have important contributions to a confining interaction.

Key concepts: Instanton, Geology, Physics, Economics, Mathematical physics

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