论文标题

作为普遍性假设的探测

Squeezing as a probe of the universality hypothesis

论文作者

Mourão, P. A. L., Costa, H. A. S., Carvalho, P. R. S.

论文摘要

我们通过分析辐射量子校正,直至近临界环订单,均为无数和大量O($ n $)的通用关键指数($ n $)$ λϕ^{4} $,用于探测普遍性假设。为此,我们采用了六种不同的独立方法。通过这些方法获得的普遍挤压临界指数的结果相同,并降低到没有挤压的常规结果。尽管挤压机制修改了场的内部特性,但挤压临界指标不受挤压效应的影响,因此至少在考虑的环水平上,这意味着普遍性假设的有效性。最后,我们根据挤压场的几何对称性介绍了结果的相应物理解释。

We compute analytically the radiative quantum corrections, up to next-to-leading loop order, to the universal critical exponents for both massless and massive O($N$) $λϕ^{4}$ scalar squeezed field theories for probing the universality hypothesis. For that, we employ six distinct and independent methods. The outcomes for the universal squeezed critical exponents obtained through these methods are identical among them and reduce to the conventional ones where squeezing is absent. Although the squeezing mechanism modifies the internal properties of the field, the squeezed critical indices are not affected by the squeezing effect, thus implying the validity of the universality hypothesis, at least at the loop level considered. At the end, we present the corresponding physical interpretation for the results in terms of the geometric symmetry properties of the squeezed field.

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