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Title: Hawking-Moss tunneling in non-commutative eternal inflation

Abstract

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.

Authors:
 [1];  [2]
  1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049 (China)
  2. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 (China)
Publication Date:
OSTI Identifier:
22137746
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2008; Journal Issue: 01; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COMMUTATION RELATIONS; DE SITTER SPACE; INFLATIONARY UNIVERSE; LIFETIME; PROBABILITY; SPACE-TIME; STOCHASTIC PROCESSES; TUNNEL EFFECT

Citation Formats

Cai Yifu, and Wang Yi, E-mail: caiyf@mail.ihep.ac.cn, E-mail: wangyi@itp.ac.cn. Hawking-Moss tunneling in non-commutative eternal inflation. United States: N. p., 2008. Web. doi:10.1088/1475-7516/2008/01/001.
Cai Yifu, & Wang Yi, E-mail: caiyf@mail.ihep.ac.cn, E-mail: wangyi@itp.ac.cn. Hawking-Moss tunneling in non-commutative eternal inflation. United States. doi:10.1088/1475-7516/2008/01/001.
Cai Yifu, and Wang Yi, E-mail: caiyf@mail.ihep.ac.cn, E-mail: wangyi@itp.ac.cn. 2008. "Hawking-Moss tunneling in non-commutative eternal inflation". United States. doi:10.1088/1475-7516/2008/01/001.
@article{osti_22137746,
title = {Hawking-Moss tunneling in non-commutative eternal inflation},
author = {Cai Yifu and Wang Yi, E-mail: caiyf@mail.ihep.ac.cn, E-mail: wangyi@itp.ac.cn},
abstractNote = {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.},
doi = {10.1088/1475-7516/2008/01/001},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 01,
volume = 2008,
place = {United States},
year = 2008,
month = 1
}
  • The formalism of a non commutative gauge gravity is applied to an FRW universe and the corresponding modified metric, veirbein and spin connection components are obtained. Moreover, using the Hamilton-Jacobi method and as a pure space-time deformation effect, the NCG Hawking radiation via a fermionic tunneling transition through the dynamical NCG horizon is also studied.
  • The Hawking-Moss tunneling rate for a field described by the Dirac-Born-Infeld (DBI) action is calculated using a stochastic approach. We find that the effect of the nontrivial kinetic term is to enhance the tunneling rate, which can be exponentially significant. This result should be compared to the DBI enhancement found in the Coleman-de Luccia case.
  • We study various probability measures for eternal inflation by applying their regularization prescriptions to models where inflation is not eternal. For simplicity we work with a toy model describing inflation that can interpolate between eternal and non-eternal inflation by continuous variation of a parameter. We investigate whether the predictions of four different measures (proper time, scale factor cutoff, stationary and causal diamond) change continuously with the change of this parameter. We will show that only for the stationary measure the predictions change continuously. For the proper-time and the scale factor cutoff, the predictions are strongly discontinuous. For the causal diamondmore » measure, the predictions are continuous only if the stage of the slow-roll inflation is sufficiently long.« less
  • The conventional interpretation of the Hawking-Moss (HM) solution implies a transition rate between vacua that depends only on the values of the potential in the initial vacuum and at the top of a potential barrier, leading to the implausible conclusion that transitions to distant vacua can be as likely as those to a nearby one. I analyze this issue using a nongravitational example with analogous properties. I show that such HM bounces do not give reliable rate calculations, but are instead related to the probability of finding a quasistable configuration at a local potential maximum.
  • As a first step toward understanding a lanscape of vacua in a theory of non-linear massive gravity, we consider a landscape of a single scalar field and study tunneling between a pair of adjacent vacua. We study the Hawking-Moss (HM) instanton that sits at a local maximum of the potential, and evaluate the dependence of the tunneling rate on the parameters of the theory. It is found that provided with the same physical HM Hubble parameter H{sub HM}, depending on the values of parameters α{sub 3} and α{sub 4} in the action (2.2), the corresponding tunneling rate can be eithermore » enhanced or suppressed when compared to the one in the context of General Relativity (GR). Furthermore, we find the constraint on the ratio of the physical Hubble parameter to the fiducial one, which constrains the form of potential. This result is in sharp contrast to GR where there is no bound on the minimum value of the potential.« less