THE APPEARANCE OF MATTER FIELDS FROM QUANTUM FLUCTUATIONS OF 2D-GRAVITY
Abstract
It is established that various critical regimes may occur for a model of two-dimensional pure quantum gravity. These regimes correspond to the presence of effective fields with scaling dimensions Δ k =−γ str ·k/2, k=1, 2, 3 ..., where γ str =−1/m, m=2, 3, 4 ... is the critical exponent of “string susceptibility” (with respect to the cosmological constant). This behaviour is typical for unitary conformal fields with the central charge c=1−6/m(m+1) in the presence of 2D-quantum gravity. We use the framework of loop equations for the invariant boundary functional, which are exactly solvable in this case.
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Computer simulations suggest strongly that transitive percolation possesses a continuum limit and exhibits scaling behavior in that limit with p scaling roughly like c log n/n.
“Moreover, computer simulations suggest strongly that the model possesses a continuum limit and exhibits scaling behavior in that limit with p scaling roughly like c log n/n [12, 13].”
From Classical sequential growth dynamics for causal sets (1999) · cites this paper as [12]
Transitive percolation with constant p yields causets which could reproduce at best only limited portions of Minkowski space.
“We have seen that transitive percolation with constant p yields causets which could reproduce - at best - only limited portions of Minkowski space.”
From Classical sequential growth dynamics for causal sets (1999) · cites this paper as [12]
To do better than transitive percolation with constant p, one would have to scale p so that it decreased with increasing n.
“To do any better, one would have to scale p so that it decreased with increasing n [12, 13, 15].”
From Classical sequential growth dynamics for causal sets (1999) · cites this paper as [12]
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Cited by 289
- Authors
- KAZAKOV, V. A.
- Affiliations
- University of Copenhagen (DK)
- Corresponding author
- KAZAKOV, V.A.
- ORCID
- KAZAKOV, V.A.
- Venue
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 1989-10-30
- Volume
- 04
- Issue
- 22
- Pages
- 2125-2139
- ISSN
- 0217-7323 (ISSN-L)
- 1793-6632
- OpenAlex
- W2167485863
- Cited by
- 289
- References
- 0
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 12 · 2023: 10 · 2022: 5 · 2021: 14 · 2020: 6 · 2019: 6 · 2018: 1 · 2017: 1 · 2016: 24 · 2015: 5 · 2014: 9 · 2013: 10 · 2012: 7
- FWCI
- 22.57
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Modern Physics Letters A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- two-dimensional quantum gravity, matter fields, quantum fluctuations, critical exponents, string susceptibility, central charge, conformal field theory, loop equations, effective field
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