Universal properties of the confining string in the random percolation model
Pietro Giudice, Ferdinando Gliozzi, Stefano Lottini

TL;DR
This paper investigates the universal properties of the confining string in the random percolation model using high-precision numerical measurements, confirming universality predictions and shape effects due to string fluctuations.
Contribution
It provides the first high-precision numerical evidence of shape effects and universality in the confining string within the random percolation model.
Findings
Observation of shape effects consistent with universality predictions
Confirmation of rough fluctuation effects on the confining string
Agreement with theoretical universality up to next-to-leading order
Abstract
Random percolation can be fully interpreted as a confining pure gauge theory. With numerical high-precision measurements of Polyakov-Polyakov correlators at finite temperature, we could well observe the presence of shape effects due to rough fluctuations of the confining string, in complete agreement with the universality predictions up to the next-to-leading order.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods
