Stochastic Tunneling in de Sitter Spacetime

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

See attached report.

Comments for author File: Comments.pdf

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

This manuscript faces a stochastic approach to describe the tunneling process from false to true vacuum in a de Sitter phase of the primordial Universe. To avoid the difficulties of dealing with,a functional Fokker-Planck equation, the problem is formulated in a path integral scenario.

The paper is rather well-written and
consistently structured. The results obtained reproduce and somehow interpret previous approach well-known in literature, so that I think they deserve publication in Universe.

Anyway, I ask the authors to comment on the following two points.

-Is it their formulation extendible to more realistic inflation models, for which the scalar field potential does not simply emulate a cosmological constant term?

-Up to which extent, could this formulation be implemented to other physical contexts, like the transition from a black toward a white hole?

After these two points are discussed and the abstract will be revised to make it of major physical impact, the manuscript can be published.

Comments on the Quality of English Language

Minor editing of English language required

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

Comments and Suggestions for Authors

This is a well-written paper with derivation of various tunneling effects for a scalar field in De Sitter space by using the stochastic approach to quantum field theory, according to which the ultraviolet modes crossing the Hubble radius are replaced by a stochastic field with the same correlation properties, influencing the dynamics of the infrared (sub-Hubble) part of the field via the emerging equations of the Langevin type. The tunneling effects and their corresponding configurations for the infrared part of the field are then described in this new formalism and compared to the classical results obtained in the literature by other methods. I find this approach quite interesting for the subject of quantum field theory in curved space time. All results of the new method are carefully derived and presented in detail and with clarity. I fully recommend this paper for publication.

Author Response

Thank you very much for providing important comments. We are thankful for the time and energy you expended.