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Effective Dynamics of the Matrix Big Bang
High Energy Physics - Theory · Submitted 10 Jan 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, the form of our one-loop potential seems to violate these constraints in a manner that suggests a connection between the cosmological singularity and long wavelength, late time physics.
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The abstract, sentence by sentence
We study the leading quantum effects in the recently introduced Matrix Big Bang model. This amounts to a study of supersymmetric Yang-Mills theory compactified on the Milne orbifold. We find a one-loop potential that is attractive near the Big Bang. Surprisingly, the potential decays very rapidly at late times, where it appears to be generated by D-brane effects. Usually, general covariance constrains the form of any effective action generated by renormalization group flow. However, the form of our one-loop potential seems to violate these constraints in a manner that suggests a connection between the cosmological singularity and long wavelength, late time physics.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the leading quantum effects in the recently introduced Matrix Big Bang model. | contribution 0.99 | 0.86 | 0.04 | asserted 0.84 |
| s1 | This amounts to a study of supersymmetric Yang-Mills theory compactified on the Milne orbifold. | method 0.62 | 0.37 | 0.04 | asserted 1.00 |
| s2 | We find a one-loop potential that is attractive near the Big Bang. | result 1.00 | 0.96 | 0.42 | asserted 1.00 |
| s3 | Surprisingly, the potential decays very rapidly at late times, where it appears to be generated by D-brane effects. | result 0.95 | 0.89 | 0.23 | asserted 0.49 |
| s4 | Usually, general covariance constrains the form of any effective action generated by renormalization group flow. | background 0.99 | 0.04 | 0.03 | asserted 0.99 |
| s5 | However, the form of our one-loop potential seems to violate these constraints in a manner that suggests a connection between the cosmological singularity and long wavelength, late time physics. | interpretation 1.00 | 0.65 | 0.45 | hedged possibility 0.93 |
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The paper
Original abstract
We study the leading quantum effects in the recently introduced Matrix Big Bang model. This amounts to a study of supersymmetric Yang-Mills theory compactified on the Milne orbifold. We find a one-loop potential that is attractive near the Big Bang. Surprisingly, the potential decays very rapidly at late times, where it appears to be generated by D-brane effects. Usually, general covariance constrains the form of any effective action generated by renormalization group flow. However, the form of our one-loop potential seems to violate these constraints in a manner that suggests a connection between the cosmological singularity and long wavelength, late time physics.
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References
How the literature uses it
11 arXiv papers cite this in 14 sentences
Papers citing it · 8 sentences without a confident label
Compares with it 1 paper
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This is very much in accord with the one-loop potentials computed in the time-dependent models [ref] .
Non-Supersymmetric String Theory · Perturbative Aspects of the Gauge Theory · 0.89
Cites it as support 1 paper
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An example where this happens is the matrix big bang model [ref] , where an important one-loop potential is generated in the weak coupling region of the field theory.
Quantum evolution across singularities · Isolated singularities in time-dependent quantum Hamiltonians · 0.97
Cites it as background 4 papers
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Models of this type were further explored in [ref] and other models of cosmologies in $AdS$ were studied e.g., in [ref] .
Cosmological singularities encoded in IR boundary correlations · Introduction · 0.91
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To investigate these aspects, the Matrix theory descriptions and high-energy behaviors of the string theory in the light-like linear dilaton background have been pursued in [ref] [ref] [ref] [ref] [ref] [ref] .
Ambitwistor string amplitudes in light-like linear dilaton background · Introduction · 0.85
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Field theories with space-time-dependent parameters exhibit interesting phenomena not seen in their Lorentz invariant counterparts; see, for example [ref] .
Domain Walls, Triples and Acceleration · Comments on holography · 0.80
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