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) $\lambda {\varphi }^4$ 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.

我们分析地计算辐射量子校正，直到下一个领先的循环阶，对无质量和有质量 O( N )的通用临界指数$\lambda {\phi }^4$用于探索普遍性假设的标量压缩场理论。为此，我们采用了六种不同且独立的方法。通过这些方法获得的通用压缩临界指数的结果在它们之间是相同的，并且可以简化为没有压缩的常规指数。尽管挤压机制改变了场的内部性质，但挤压的临界指数不受挤压效应的影响，因此暗示了普遍性假设的有效性，至少在所考虑的循环级别上是这样。最后，我们根据压缩场的几何对称特性对结果进行了相应的物理解释。