论文标题

在Chebyshev Wells上:时期,变形和复兴

On Chebyshev Wells: Periods, Deformations, and Resurgence

论文作者

Raman, Madhusudhan, Subramanian, P. N. Bala

论文摘要

我们研究了由Chebyshev多项式的平方描述的潜在井的几何和力学(经典和量子)。我们表明,在它们在高纤维曲线空间中切除的基因座的一个小街区中,这些系统表现出低端口/低端口的复兴,其中涉及真空的扰动波动决定了有关非扰动鞍座的扰动波动。

We study the geometry and mechanics (both classical and quantum) of potential wells described by squares of Chebyshev polynomials. We show that in a small neighbourhood of the locus cut out by them in the space of hyperelliptic curves, these systems exhibit low-orders/low-orders resurgence, where perturbative fluctuations about the vacuum determine perturbative fluctuations about non-perturbative saddles.

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