德西特时空的手征对称性与曲率边界
Chiral symmetry and curvature bounds in de Sitter spacetime
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中文总结 AI 辅助
该研究在德西特背景下的Nambu-Jona-Lasinio模型中，通过指数固有时间正则化和朗伯W函数得到组分费米子质量的精确解，导出宇宙学常数上界，揭示平均场描述的局限性。
中文摘要 AI 辅助
我们研究德西特背景下Nambu-Jona-Lasinio模型的手征对称性破缺，将其视为具有物理紫外截断的不可重整化有效场论。采用指数固有时间正则化，通过朗伯W函数在强曲率区获得组分费米子质量的精确解。实值解的一致性条件导出宇宙学常数的上界，这表明该限制源于平均场描述的局限性，而非时空几何的基本物理约束。
英文摘要
We study chiral symmetry breaking in the Nambu-Jona-Lasinio model on a de Sitter background, treating it as a non-renormalizable effective field theory with a physical ultraviolet cutoff. Using exponential proper-time regularization, we obtain an exact solution for the constituent fermion mass in the strong-curvature regime via the Lambert $W$ function. The consistency condition for real-valued solutions leads to an upper bound on the cosmological constant, indicating a limitation of the mean-field description rather than a fundamental physical constraint on the spacetime geometry.
