Eikonal quantum gravity and planckian scattering

Kabat, Daniel; Ortiz, Miguel

doi:10.1016/0550-3213(92)90627-n

Cited by 245 publications

(327 citation statements)

References 36 publications

Supporting

Mentioning

312

Contrasting

Order By: Relevance

“…First, such strong growth would eventually violate the unitarity bound once E ∼ M D , indicating that a fuller string calculation is required at higher energies, where the emission and exchange of string states is no longer negligible [101][102][103][104][105][106][107][108]. Second, it shows that it is the highest energy KK states that dominate in the cross section, and since these also have the shortest wavelength their properties (and the cross section) is largely insensitive to the details of the higher-dimensional geometry [109].…”

Section: Jhep10(2011)119mentioning

confidence: 99%

Anisotropic modulus stabilisation: strings at LHC scales with micron-sized extra dimensions

Cicoli

Burgess

Quevedo

2011

J. High Energ. Phys.

151

View full text Add to dashboard Cite

We construct flux-stabilised Type IIB string compactifications whose extra dimensions have very different sizes, and use these to describe several types of vacua with a TeV string scale. Because we can access regimes where two dimensions are hierarchically larger than the other four, we find examples where two dimensions are micron-sized while the other four are at the weak scale in addition to more standard examples with all six extra dimensions equally large. Besides providing ultraviolet completeness, the phenomenology of these models is richer than vanilla large-dimensional models in several generic ways: (i) they are supersymmetric, with supersymmetry broken at sub-eV scales in the bulk but only nonlinearly realised in the Standard Model sector, leading to no MSSM superpartners for ordinary particles and many more bulk missing-energy channels, as in supersymmetric large extra dimensions (SLED); (ii) small cycles in the more complicated extra-dimensional geometry allow some KK states to reside at TeV scales even if all six extra dimensions are nominally much larger; (iii) a rich spectrum of string and KK states at TeV scales; and (iv) an equally rich spectrum of very light moduli exist having unusually small (but technically natural) masses, with potentially interesting implications for cosmology and astrophysics that nonetheless evade new-force constraints. The hierarchy problem is solved in these models because the extra-dimensional volume is naturally stabilised at exponentially large values: the extra dimensions are Calabi-Yau geometries with a 4D K3 or T 4 -fibration over a Open Access doi:10.1007/JHEP10 (2011)119 JHEP10 (2011)119 2D base, with moduli stabilised within the well-established LARGE-Volume scenario. The new technical step is the use of poly-instanton corrections to the superpotential (which, unlike for simpler models, are likely to be present on K3 or T 4 -fibered Calabi-Yau compactifications) to obtain a large hierarchy between the sizes of different dimensions. For several scenarios we identify the low-energy spectrum and briefly discuss some of their astrophysical, cosmological and phenomenological implications.

show abstract

Section: Jhep10(2011)119mentioning

confidence: 99%

Anisotropic modulus stabilisation: strings at LHC scales with micron-sized extra dimensions

Cicoli

Burgess

Quevedo

2011

J. High Energ. Phys.

151

View full text Add to dashboard Cite

show abstract

“…It turns out that the loop expansion matches the expansion in powers of δ [7,33,34,35], so that the phase shift is given, in terms of the leading tree-level interaction A tree (s, t), by the simple Fourier transform…”

Section: Eikonal Approximationmentioning

confidence: 99%

“…We consider the equation above for different values of w. In order for the inequality (35) to be valid for all w, we keep p − fixed and tune p + so that p = Λ/ |w| , for a fixed energy scale Λ ≪ E. As w → ∞, we then have that σ = 8Λp − /w 2 → 0. Note that F + , F − and A on−shell are all analytic functions of σ, with at most poles and branch cuts.…”

Section: Quantization Condition From Unitaritymentioning

confidence: 99%

Unitarity in the presence of closed timelike curves

Costa

2006

Fortschritte der Physik

View full text Add to dashboard Cite

We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ black holes inside the horizon. Although perturbative unitarity fails, we show that, for discrete values of the gravitational coupling, particle propagation is consistent with unitarity. This quantization corresponds to the quantization of the black hole angular momentum, as expected from the dual CFT description. Note, however, that we recover this result by analyzing the physics inside the horizon and near the singularity. The spacetime under consideration has no AdS boundary, and we are therefore not using any assumption regarding a possible dual formulation. We perform the computation at very low energies, where string effects are irrelevant and interactions are dominated by graviton exchange in the eikonal regime. We probe the non-causal structure of space-time to leading order, but work to all orders in the gravitational coupling.

show abstract

“…(7.16) Equation (7.16) is difficult to solve in general due to the transverse derivatives but it can be readily solved in the eikonal approximation. A simple plane-wave solution is given by 17) as one would expect from a computation of trajectories: the only effect of the shock-wave is a shift of the wave function over a distance given by the shift. The full solution gives, in the eikonal approximation,…”

Section: Boundary Description Of Scalar Fields In An Ads-shock-wave Bmentioning

confidence: 99%

“…Essentially this is the gravitational field surrounding a particle whose mass is dominated by kinetic energy therefore representing a sort of massless regime of General Relativity [13,14,15,16,17,18,19,20,21,22].…”

Section: Gravity At High Energy and Shock Wavesmentioning

confidence: 99%

Boundary description of planckian scattering in curved spacetimes

Arcioni¹,

Haro²,

O’Loughlin³

2001

J. High Energy Phys.

View full text Add to dashboard Cite

We show that for an eikonal limit of gravity in a space-time of any dimension with a non-vanishing cosmological constant, the Einstein -Hilbert action reduces to a boundary action. This boundary action describes the interaction of shock-waves up to the point of evolution at which the forward light-cone of a collision meets the boundary of the space-time. The conclusions are quite general and in particular generalize work of E. and H. Verlinde. The role of the off-diagonal Einstein action in removing the bulk part of the action is emphasised. We discuss the sense in which our result is a particular example of holography and also the relation of our solutions in AdS to those of Horowitz and Itzhaki.

show abstract

Eikonal quantum gravity and planckian scattering

Cited by 245 publications

References 36 publications

Anisotropic modulus stabilisation: strings at LHC scales with micron-sized extra dimensions

Anisotropic modulus stabilisation: strings at LHC scales with micron-sized extra dimensions

Unitarity in the presence of closed timelike curves

Boundary description of planckian scattering in curved spacetimes

Contact Info

Product

Resources

About