标题： 真空夸克凝聚的本质 显示英文标题

标题： Essence of the vacuum quark condensate

摘要： 我们证明，在手征极限下，真空夸克凝聚与伪标量介子轻子衰变常数在本质上是等价的，因为它们都是通过规范不变的强子到真空跃迁振幅在手征极限下的值获得的，这些振幅在当前夸克质量方面具有谱表示。 因此，尽管有时想象成这样可能比较方便，但两者本质上都不是填充整个时空的恒定质量尺度。 这意味着，特别是夸克凝聚可以被理解为强子自身的属性，例如在它们的Bethe-Salpeter波函数或轻子前波函数中表现出来。 显示英文摘要

摘要： We show that the chiral-limit vacuum quark condensate is qualitatively equivalent to the pseudoscalar meson leptonic decay constant in the sense that they are both obtained as the chiral-limit value of well-defined gauge-invariant hadron-to-vacuum transition amplitudes that possess a spectral representation in terms of the current-quark mass. Thus, whereas it might sometimes be convenient to imagine otherwise, neither is essentially a constant mass-scale that fills all spacetime. This means, in particular, that the quark condensate can be understood as a property of hadrons themselves, which is expressed, for example, in their Bethe-Salpeter or light-front wavefunctions.