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The cosmological constant problem in heterotic-M-theory and the orbifold of time
High Energy Physics - Theory · Submitted 10 Jul 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This stringy origin of the MFM creates stronger theoretical grounds for our solution to the cosmological constant problem.
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The abstract, sentence by sentence
Chameleon fields are quantum fields with an increasing mass as a function of the matter density of the environment. Recently chameleon fields have been exploited to solve the cosmological constant problem in the Modified Fujii's Model - MFM [Phys Rev D82 (2010) 044006]. However, gravity has been treated basically at a semiclassical level in that paper. In this article the stringy origin of the MFM is further discussed: as we will see, the MFM can be obtained from heterotic-M-theory. Consequently, a quantum description of gravity is obtained and the theory is finite because we choose the string mass as our UV cut-off. This stringy origin of the MFM creates stronger theoretical grounds for our solution to the cosmological constant problem. In our analysis, time will be compactified on a $S^1/Z_2$ orbifold and this peculiar compactification of time has a number of consequences. For example, as we will see, quantum gravity and a quantum gauge theory are actually the same theory in the sense that gravity is the time-evolution of a gauge theory. This might be the key to obtain a non-approximated stabilizing potential for the dilaton in the string frame. In this paper we will further discuss the non-equivalence of different conformal frames at the quantum level. As we will see, in our approach we use basically a unique conformal frame: the frame where the masses of particles are field dependent. A word of caution is necessary: we do not take into account massive string states and IR divergences.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Chameleon fields are quantum fields with an increasing mass as a function of the matter density of the environment. | background 1.00 | 0.06 | 0.02 | asserted 1.00 |
| s1 | Recently chameleon fields have been exploited to solve the cosmological constant problem in the Modified Fujii's Model - MFM [Phys Rev D82 (2010) 044006]. | background 1.00 | 0.08 | 0.07 | asserted 0.99 |
| s2 | However, gravity has been treated basically at a semiclassical level in that paper. | gap 0.97 | 0.10 | 0.03 | asserted 0.98 |
| s3 | In this article the stringy origin of the MFM is further discussed: as we will see, the MFM can be obtained from heterotic-M-theory. | contribution 0.95 | 0.73 | 0.11 | asserted 0.95 |
| s4 | Consequently, a quantum description of gravity is obtained and the theory is finite because we choose the string mass as our UV cut-off. | result 0.48 | 0.79 | 0.15 | asserted 1.00 |
| s5 | This stringy origin of the MFM creates stronger theoretical grounds for our solution to the cosmological constant problem. | interpretation 0.96 | 0.61 | 0.29 | asserted 0.99 |
| s6 | In our analysis, time will be compactified on a $S^1/Z_2$ orbifold and this peculiar compactification of time has a number of consequences. | method 0.74 | 0.67 | 0.06 | asserted 0.99 |
| s7 | For example, as we will see, quantum gravity and a quantum gauge theory are actually the same theory in the sense that gravity is the time-evolution of a gauge theory. | interpretation 0.54 | 0.64 | 0.15 | asserted 0.93 |
| s8 | This might be the key to obtain a non-approximated stabilizing potential for the dilaton in the string frame. | interpretation 0.93 | 0.35 | 0.12 | speculative 0.93 |
| s9 | In this paper we will further discuss the non-equivalence of different conformal frames at the quantum level. | contribution 0.96 | 0.59 | 0.07 | asserted 0.89 |
| s10 | As we will see, in our approach we use basically a unique conformal frame: the frame where the masses of particles are field dependent. | method 0.83 | 0.86 | 0.09 | asserted 0.98 |
| s11 | A word of caution is necessary: we do not take into account massive string states and IR divergences. | limitation 1.00 | 0.81 | 0.03 | asserted 1.00 |
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The paper
Original abstract
Chameleon fields are quantum fields with an increasing mass as a function of the matter density of the environment. Recently chameleon fields have been exploited to solve the cosmological constant problem in the Modified Fujii's Model - MFM [Phys Rev D82 (2010) 044006]. However, gravity has been treated basically at a semiclassical level in that paper. In this article the stringy origin of the MFM is further discussed: as we will see, the MFM can be obtained from heterotic-M-theory. Consequently, a quantum description of gravity is obtained and the theory is finite because we choose the string mass as our UV cut-off. This stringy origin of the MFM creates stronger theoretical grounds for our solution to the cosmological constant problem. In our analysis, time will be compactified on a $S^1/Z_2$ orbifold and this peculiar compactification of time has a number of consequences. For example, as we will see, quantum gravity and a quantum gauge theory are actually the same theory in the sense that gravity is the time-evolution of a gauge theory. This might be the key to obtain a non-approximated stabilizing potential for the dilaton in the string frame. In this paper we will further discuss the non-equivalence of different conformal frames at the quantum level. As we will see, in our approach we use basically a unique conformal frame: the frame where the masses of particles are field dependent. A word of caution is necessary: we do not take into account massive string states and IR divergences.
Human review
How the literature uses it
2 arXiv papers cite this in 24 sentences
Papers citing it · 16 sentences without a confident label
Uses its method or tool 2 papers
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The orbifold of time of reference [ref] is a powerful tool to extract theoretical equations.
Quantum mechanics before the big bang in heterotic-M-theory · Modified Schroedinger equation · 0.99
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The orbifold of time of reference [ref] is a powerful tool to extract theoretical equations.
Chronons in M-theory and F-theory · The modified Schroedinger equation · 0.95
Cites it as support 2 papers
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The radius of the branes is stable because the Casimir energy, related to $α'$-corrections of the string [ref] , provides a repulsive contribution at short distance.
Quantum mechanics before the big bang in heterotic-M-theory · Introduction · 0.96
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It is true that this lagrangian can be (basically) obtained from a multi-brane set up of M-theory [ref] .
Chronons in M-theory and F-theory · Cosmological constant: further remarks · 0.97
Cites it as background 2 papers
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From the theoretical point of view, our scenario will be the 5-dimensional heterotic-M-theory of references [ref] where a naked singularity is predicted in the bulk from the supergravity (SUGRA) equations.
Quantum mechanics before the big bang in heterotic-M-theory · Introduction · 0.82
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If we consider the standard everyday time, which, in this model, corresponds to the dilaton, the peculiar orbifold compactification will give us a scenario (see also [ref] ) with a Pre-Big-Bang phase (negative dilatonic time) where the universe is contracting and a post-big-bang phase (positive dilatonic time, where the universe is expanding).
Chronons in M-theory and F-theory · Introduction · 0.88
What it cites · 53 sentences without a confident label
Builds on 2 papers
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Summarizing, the chameleonic solution to the cosmological constant problem presented in [ref] can be embedded in heterotic-M-theory.
Chameleonic dilaton, nonequivalent frames, and the cosmological constant problem in quantum string theory · Chameleon-induced compactification · 0.84
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Following the neutrino case discussed in [ref] , we suggest to exploit these condensates as composite Dark Matter in our model.
Dilaton stabilization and composite dark matter in the string frame of heterotic-M-theory · The scale invariant lagrangian from string theory · 0.88
Uses the method or tool of 2 papers
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In order to identify strong interaction with gravity, we exploit holography and AdS/CFT [ref] (for a recent book about AdS/CFT see [ref] ).
AdS/CFT Duality User Guide · Introduction · 0.90
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In order to identify strong interaction with gravity, we exploit holography and AdS/CFT [ref] (for a recent book about AdS/CFT see [ref] ).
The Large N Limit of Superconformal Field Theories and Supergravity · Introduction · 0.90
Compares with 3 papers
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In this sense, the chameleonic behaviour of conformal symmetry induces the compactification in our model and, as already mentioned above, in the IR the universe is higher dimensional (a result similar to the analysis of [ref] ).
4D Gravity on a Brane in 5D Minkowski Space · Chameleon-induced compactification · 0.98
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To a certain extent, this approach to the flavor problem is similar to [ref] .
Singlet Assisted Supersymmetry Breaking · The scale invariant lagrangian from string theory · 1.00
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To a certain extent, this approach to the flavor problem is similar to [ref] .
Hierarchies without Symmetries from Extra Dimensions · The scale invariant lagrangian from string theory · 1.00
Cites as support 2 papers
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It has been shown [ref] that in the E-frame the dilaton is a chameleon in this model and the E-frame (renormalized) vacuum energy is small in the IR region including all quantum corrections and without fine-tuning.
Chameleonic dilaton, nonequivalent frames, and the cosmological constant problem in quantum string theory · The MFM · 0.96
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Similar 1-loop diagrams can generate also a $ϕ^4$ term in the lagrangian and this term does not clash with the solution to the CC problem, because the renormalized Planck mass in the IR region is an exponentially decreasing function of $σ$ (see also [ref] ).
Chameleonic dilaton and conformal transformations · The scale invariant lagrangian from string theory · 0.99
Cites as background 15 papers
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Recently, a solution to the CC problem has been discussed with the help of chameleon fields in [ref] .
Chameleonic dilaton, nonequivalent frames, and the cosmological constant problem in quantum string theory · Introduction · 0.90
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The role of conformal transformations in the MFM has been discussed in connection to other problems, for example (A) quantum gravity and the collapse of the wave function in quantum mechanics [ref] , (B) solar physics [ref] .
Chameleon fields and solar physics · Introduction · 0.90
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For a detailed discussion of this model the reader is referred to [ref] and references therein.
Neutrino Dark Energy and Moduli Stabilization in a BPS Braneworld Scenario · The scale invariant lagrangian from string theory · 0.95
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