1 / 7

Weekly report 110721 The definition of in and out (vacuum ) state in de sitter space

Weekly report 110721 The definition of in and out (vacuum ) state in de sitter space. Shen Che -Min. The definition of in and out state in de sitter space…1. Consider Global coordinate :. The scalar field is quantized as : . Here we choose the field mode :. where.

druce
Download Presentation

Weekly report 110721 The definition of in and out (vacuum ) state in de sitter space

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Weekly report 110721The definition of in and out (vacuum ) state in de sitter space ShenChe-Min

  2. The definition of in and out state in de sitter space…1 Consider Global coordinate : The scalar field is quantized as : Here we choose the field mode : where The solution has the asymptotically positive frequency : The quantum field with this field mode defines the in-vacuum, which does not contain any particle from the past infinity.

  3. The definition of in and out state in de sitter space…2 Similarly, choose the field mode: where Then for the new mode : The out-vacuum is defined with respect to field modes with the asymptotically positive frequency: I cite this paragraph from Kim Sang Pyo’s paper, however I cannot fully understand it now. The selection of the vacuum requires some guiding principles, one of which is the composition principle by Polyakov for causality of the propagator. It is not the in-/in-state formalism based on the Bunch-Davies vacuum but the in-/out-state formalism based on the vacua without any particle at the past and future infinities that complies with the composition principle in dS space.

  4. Summary & Next plan • The definition of in & out state in Kim Sang Pyo’s paper[2] is the same as the definition in Mottola’s paper[1] (1985) which I report in last meeting with Pisin. • I want to study the particle creation and its backreaction (with respect to background metric) in de sitter space. (i.e. the unstability of de sitter space.)

  5. References • [1] Particle creation in de Sitter space, E. Mottola, Phys. Rev. D 31, 754–766 (1985) • [2] Vacuum Structure of de Sitter Space, Sang Pyo Kim (Submitted on 3 Aug 2010) • The definition of in & out state are the same in this two papers.

  6. end

  7. temp with the eigenvalues and degeneracies

More Related