Title: Induced Affine Inflation Show Chinese title

Title: 诱导仿射膨胀

Abstract: Induced gravity, metrical gravity in which gravitational constant arises from vacuum expectation value of a heavy scalar, is known to suffer from Jordan frame vs. Einstein frame ambiguity, especially in inflationary dynamics. Induced gravity in affine geometry, as we show here, leads to an emergent metric and gravity scale, with no Einstein-Jordan ambiguity. While gravity is induced by the vacuum expectation value of the scalar field, nonzero vacuum energy facilitates generation of the metric. Our analysis shows that induced gravity results in a relatively large tensor-to-scalar ratio in both metrical and affine gravity setups. However, the fact remains that the induced affine gravity provides an ambiguity-free framework. Show Chinese abstract

Abstract: 由重标量场的真空期望值产生的引力常数的度规引力，已知在膨胀动力学中会受到乔丹框架与爱因斯坦框架之间的歧义问题困扰。 在仿射几何中的诱导引力，如我们此处所示，会导致出现一种涌现的度规和引力尺度，且没有爱因斯坦-乔丹歧义。 尽管引力是由标量场的真空期望值引起的，但非零的真空能有助于度规的生成。 我们的分析表明，在度规和仿射引力设置中，诱导引力都会导致相对较大的张量标量比。 然而，事实仍然是，诱导的仿射引力提供了一个无歧义的框架。