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arXiv · 2410.11598

Hadron-quark hybrid model, modular transformation and Roberge-Weiss transition

Hiroaki Kouno·Riki Oshima·Motoi Tachibana·Kouji Kashiwa
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Abstract

In the framework of modular transformations, we reformulate the recently proposed hadron-quark hybrid model when the imaginary baryonic chemical potential is introduced. As a result, we can consider the torus, which is characterized by the complex number densities of baryons (antibaryons) and quarks (antiquarks). We apply this model to analyze the Roberge-Weiss transition. It is shown that the torus vanishes at the baryonic chemical potential where the Roberge-Weiss transition appears because the number density of baryons (antibaryons) is not linearly independent of the number density of quarks (antiquarks). When the temperature T is lower than the Roberge-Weiss transition temperature TRW, the torus shrinks smoothly to the one-dimensional object at the Roberge-Weiss transition point, but the discontinuity does not appear. On the other hand, the discontinuity of the geometrical object appears when T>TRW. We also calculate the modulus of the torus and transform it into the fundamental region. The transformed moduli are symmetric below TRW, but the symmetry is broken above TRW.

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Hiroaki Kouno, Riki Oshima, Motoi Tachibana, Kouji Kashiwa. 2024-10-15. Hadron-quark hybrid model, modular transformation and Roberge-Weiss transition. https://arxiv.org/abs/2410.11598

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