Quark Gas at High Temperature: Finite-Volume Effects
R.N. Rogalyov, N.V. Gerasimeniuk, A.A. Korneev
TL;DR
This paper investigates finite-volume effects on the thermodynamics of massless fermions, revealing paradoxes in pressure calculations and identifying a Roberge-Weiss transition without strong interactions.
Contribution
It identifies a paradox in the standard pressure formula for massless fermions and proposes resolutions, also analyzing the partition function for phase transitions.
Findings
Negative probability mass function in standard formulas
Resolution methods for the paradox are proposed
Presence of Roberge-Weiss transition without strong interactions
Abstract
It is shown that the textbook formula for the pressure of free massless fermions leads to negative values of the probability mass function of the distribution of the system of free massless fermions in the fermion number. The ways to resolve this paradox are proposed. A detailed analysis of the corresponding partition function indicates the presence of a Roberge-Weiss transition in the absence of strong interactions.
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Taxonomy
TopicsHigh-pressure geophysics and materials · earthquake and tectonic studies · Geological and Geochemical Analysis