Transition temperature of the homogeneous imperfect Bose gas

Nguyen Van Thu; Pham Duy Thanh

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arXiv · 2409.14036

Transition temperature of the homogeneous imperfect Bose gas

Nguyen Van Thu·Pham Duy Thanh

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Abstract

Beyond standard approaches in existing literature, we explore the relative shift in the transition temperature of a homogeneous dilute Bose gas using the Cornwall-Jackiw-Tomboulis effective action formalism within the improved Hartree-Fock approximation. The first correction to the enhancement of the transition temperature, as compared to that of the ideal Bose gas, is expressed in a universal form: it is linear with respect to the scattering length. The slope of this linear relationship shows excellent agreement with the exact numerical calculations presented in previous studies. Additionally, we identify non-universal terms contributing to the shift.

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Nguyen Van Thu, Pham Duy Thanh. 2024-09-21. Transition temperature of the homogeneous imperfect Bose gas. https://arxiv.org/abs/2409.14036

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