No-boundary wave function for two-field inflation

作者：Hwang Dong il^*; Kim Soo A; Yeom Dong han

来源：Classical and Quantum Gravity, 2015, 32(11): 115006.

DOI：10.1088/0264-9381/32/11/115006

• Hartle-Hawking wave function
• inflation
• quantum cosmology

In this paper, we investigate the no-boundary wave function and the complex-valued instantons for two-field inflation models that have different masses. If there is a relatively massive direction, to classicalize the massive field, the solution should start from the slow direction with relatively larger vacuum energy. Therefore, the existence of the massive direction implies the increase of expected e-foldings. The most probable e-foldings are approximately N similar or equal to (m(2)/m(1))(2) x O (1) 2 in the m(1) << m(2) limit. Therefore, as long as there is a sufficient mass hierarchy, the no-boundary wave function can reasonably explain large e-foldings, so to speak, more than 50 e-foldings.

• 出版日期2015-6-11