Scaling functions for baby universes in two-dimensional quantum gravity

Steven S. Gubser; Igor R. Klebanov

doi:10.1016/0550-3213(94)90557-6

Scaling functions for baby universes in two-dimensional quantum gravity

Steven S. Gubser, Igor R. Klebanov

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We apply the recently proposed transfer matrix formalism to two-dimensional quantum gravity coupled to (2, 2k - 1) minimal models. We find that the propagation of a parent universe in geodesic (euclidean) time is accompanied by continual emission of baby universes and derive a distribution function describing their sizes. The k → ∞ (c → -∞) limit is generally thought to correspond to classical geometry, and we indeed find a classical peak in the universe distribution function. However, we also observe dramatic quantum effects associated wiht baby universes at finite length scales.

Original language	English (US)
Pages (from-to)	827-849
Number of pages	23
Journal	Nuclear Physics, Section B
Volume	416
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90557-6
State	Published - Apr 4 1994

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(94)90557-6

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title = "Scaling functions for baby universes in two-dimensional quantum gravity",

abstract = "We apply the recently proposed transfer matrix formalism to two-dimensional quantum gravity coupled to (2, 2k - 1) minimal models. We find that the propagation of a parent universe in geodesic (euclidean) time is accompanied by continual emission of baby universes and derive a distribution function describing their sizes. The k → ∞ (c → -∞) limit is generally thought to correspond to classical geometry, and we indeed find a classical peak in the universe distribution function. However, we also observe dramatic quantum effects associated wiht baby universes at finite length scales.",

author = "Gubser, {Steven S.} and Klebanov, {Igor R.}",

note = "Funding Information: We thank A. Polyakov and N. Seiberg for useful discussions. This work was supported in part by DOE grant DE-FGO2-91ER40671, the NSF Presidential Young Investigator Award PHY-9 157482, James S. McDonnell Foundation grant No. 91-48, and an A. P. Sloan Foundation Research Fellowship.",

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T1 - Scaling functions for baby universes in two-dimensional quantum gravity

AU - Gubser, Steven S.

AU - Klebanov, Igor R.

N1 - Funding Information: We thank A. Polyakov and N. Seiberg for useful discussions. This work was supported in part by DOE grant DE-FGO2-91ER40671, the NSF Presidential Young Investigator Award PHY-9 157482, James S. McDonnell Foundation grant No. 91-48, and an A. P. Sloan Foundation Research Fellowship.

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N2 - We apply the recently proposed transfer matrix formalism to two-dimensional quantum gravity coupled to (2, 2k - 1) minimal models. We find that the propagation of a parent universe in geodesic (euclidean) time is accompanied by continual emission of baby universes and derive a distribution function describing their sizes. The k → ∞ (c → -∞) limit is generally thought to correspond to classical geometry, and we indeed find a classical peak in the universe distribution function. However, we also observe dramatic quantum effects associated wiht baby universes at finite length scales.

AB - We apply the recently proposed transfer matrix formalism to two-dimensional quantum gravity coupled to (2, 2k - 1) minimal models. We find that the propagation of a parent universe in geodesic (euclidean) time is accompanied by continual emission of baby universes and derive a distribution function describing their sizes. The k → ∞ (c → -∞) limit is generally thought to correspond to classical geometry, and we indeed find a classical peak in the universe distribution function. However, we also observe dramatic quantum effects associated wiht baby universes at finite length scales.

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Scaling functions for baby universes in two-dimensional quantum gravity

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