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- Title
The finite volume effects on the critical endpoint of chiral phase transition in Nambu–Jona-Lasinio model with different regularization schemes.
- Authors
Ping, Siyuan; Zhang, Xiaobing; Su, Guifeng; Zhang, Yi
- Abstract
In this paper, we study the influence of different regularization schemes on the critical endpoint (CEP) of chiral phase transition within a cubic box with volume V ∼ L 3 . A two-flavor Nambu–Jona-Lasinio model at finite temperature T and chemical potential μ is adopted as the effective model of the strong interacting matter. Due to the finite volume of the box, the momentum integral in gap equation is replaced by discrete summation, and an anti-periodic boundary condition for quark field is applied. We employ the Schwinger's proper time and the Pauli–Villars regularization (PVR) schemes, respectively. It is found that the first-order phase transition line displays an intriguing "staircase" behavior, and eventually disappears as T increases. In particular, there is no existence of the CEP for both regularization schemes in infinite volume limit V → ∞. However, for the finite volume, the locations of the CEPs with proper time and PVR are determined, respectively.
- Subjects
NAMBU-Jona-Lasinio model; PHASE transitions; FIRST-order phase transitions; CHEMICAL potential; INTEGRAL equations
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 15/16, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X23500768