[Cai, Yi-Fu] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Wang, Yi] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
; [Wang, Yi] USTC, Interdisciplinary Ctr Theoret Study China, Hefei 230027, Anhui, Peoples R China
The quantum behavior of non-commutative eternal inflation is quite different from the usual scenario. Unlike the usual eternal inflation, non-commutative eternal inflation has quantum fluctuation suppressed by the Hubble parameter. Because of this, we need to reconsider many conceptions of eternal inflation. In this paper we study the Hawking-Moss tunneling in non-commutative eternal inflation using the stochastic approach. We obtain a brand new form of tunneling probability for this process and find that the Hawking Moss tunneling is more unlikely to take place in the non-commutative case than in the usual one. We also conclude that the lifetime of a metastable de Sitter vacuum in the non-commutative spacetime is longer than that in the commutative case.