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arXiv · 2510.24507

Finite-size effects and scaling properties of chiral and baryon-number fluctuations

Győző Kovács·Pok Man Lo·Krzysztof Redlich·Chihiro Sasaki
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Abstract

An effective chiral model is introduced to illustrate finite-size effects, incorporating the standard zero-mode treatment, momentum-space discretization, and gradient effects modeled via a prescribed finite-volume profile. The fluctuations of the chiral order parameter and the net-baryon number, as well as their scaling properties, are investigated near a critical point and a first-order transition in finite-size systems. The finite-volume effects on the Binder cumulant and the kurtosis are shown along the phase boundary and the approximate freeze-out line, respectively. Phenomenological implications on fluctuation observables are pointed out and explained.

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Győző Kovács, Pok Man Lo, Krzysztof Redlich, Chihiro Sasaki. 2025-10-28. Finite-size effects and scaling properties of chiral and baryon-number fluctuations. https://doi.org/10.1103/87gx-7mtf

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