用一种新的模拟方法检验φ ^4理论的平凡性
Precision check on triviality of phi^4 theory by a new simulation method
摘要：
我们报告了在伊辛极限下对φ ^4理论的精确模拟。最近的技术，以随机评估的所有阶强耦合扩展相结合的密切相关的Aizenman随机电流表示的确切身份。以这种方式，在低CPU成本下，重整化耦合的高精度估计是可能的。作为一个示例应用程序，我们提出的结果为连续相的伊辛模型在3，4和5维和调查的问题，通过研究一个有限尺寸标度连续极限的平凡。
英文摘要：
We report precise simulations of phi^4 theory in the Ising limit. A recent technique to stochastically evaluate the all-order strong coupling expansion is combined with exact identities in the closely related Aizenman random current representation. In this way high precision estimates of the renormalized coupling are possible at low CPU cost. As a sample application we present results for the unbroken phase of the Ising model in dimensions 3, 4 and 5 and investigate the question of triviality by studying a finite size scaling continuum limit.
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