Dynamically implementing the μ-bar-scheme in cosmological and spherically symmetric models in an extended phase space model

Giesel K, Liu H (2023)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2023

Journal

Book Volume: 9

Pages Range: 176

Journal Issue: 4

DOI: 10.3390/universe9040176

Open Access Link: https://www.mdpi.com/2218-1997/9/4/176

Abstract

We consider an extended phase space formulation for cosmological and spherically symmetric models in which the choice of a given μ¯" role="presentation" style="max-height: none; display: inline; line-height: normal; font-size: 13.2px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border-width: 0px; caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Arial, Helvetica, sans-serif; position: relative;">μ¯¯-scheme can be implemented dynamically. These models are constructed in the context of the relational formalism by using a canonical transformation on the extended phase space, which provides a Kuchař decomposition of the extended phase space. The resulting model can be understood as a gauge-unfixed model of a given μ¯" role="presentation" style="max-height: none; display: inline; line-height: normal; font-size: 13.2px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border-width: 0px; caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Arial, Helvetica, sans-serif; position: relative;">μ¯¯-scheme. We use this formalism to investigate the restrictions to the allowed μ¯" role="presentation" style="max-height: none; display: inline; line-height: normal; font-size: 13.2px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border-width: 0px; caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Arial, Helvetica, sans-serif; position: relative;">μ¯¯-scheme from this perspective and discuss the differences in the cosmological and spherically symmetric case. This method can be useful, for example, to obtain a μ¯" role="presentation" style="max-height: none; display: inline; line-height: normal; font-size: 13.2px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border-width: 0px; caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Arial, Helvetica, sans-serif; position: relative;">μ¯¯-scheme in a top-down derivation from full LQG to symmetry-reduced effective models, where, for some models, only the μ0" role="presentation" style="max-height: none; display: inline; line-height: normal; font-size: 13.2px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; min-width: 0px; min-height: 0px; border-width: 0px; caret-color: rgb(34, 34, 34); color: rgb(34, 34, 34); font-family: Arial, Arial, Helvetica, sans-serif; position: relative;">μ0-scheme has been obtained thus far.

Authors with CRIS profile

How to cite

APA:

Giesel, K., & Liu, H. (2023). Dynamically implementing the μ-bar-scheme in cosmological and spherically symmetric models in an extended phase space model. Universe, 9(4), 176. https://dx.doi.org/10.3390/universe9040176

MLA:

Giesel, Kristina, and Hongguang Liu. "Dynamically implementing the μ-bar-scheme in cosmological and spherically symmetric models in an extended phase space model." Universe 9.4 (2023): 176.

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