A conjecture on the minimal size of bound states

Freivogel, Ben; Gasenzer, Thomas; Hebecker, Arthur; Leonhardt, Sascha

doi:10.21468/scipostphys.8.4.058

Cited by 26 publications

(16 citation statements)

References 89 publications

(227 reference statements)

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“…Through the identification e −φ = R 2 , the result of (1.5) has been interpreted in [9] as an indication of the extended nature of the fundamental states. Taken as such, the above proposals were dismissed in [14], because of inconsistent implications for simple scalar potentials, and it was instead suggested that scalar particles should be subject to constraints in such a way that they would not form bound states with size smaller than their Compton wavelength. No generic alternative formulation for these constraints on the scalar potential was proposed.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the scalar weak gravity conjecture

2020

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We revisit the scalar weak gravity conjecture and investigate the possibility to impose that scalar interactions dominate over gravitational ones. More precisely, we look for consequences of assuming that, for leading scalar interactions, the corresponding gravitational contribution is sub-dominant in the non-relativistic limit. For a single massive scalar particle, this leads us to compare four-point self-interactions in different type of potentials. For axion-like particles, we retrieve the result of the axion weak gravity conjecture: the decay constant f is bounded by the Planck mass, $$f < {M_{Pl}}$$f<MPl. Similar bounds are obtained for exponential potentials. For quartic, power law and Starobinsky potentials, we exclude large trans-Planckian field excursions. We then discuss the case of moduli that determine the scalars masses. We retrieve the exponential dependence as requested by the Swampland distance conjecture. We also find extremal state masses with field dependence that reproduces both the Kaluza-Klein and winding modes behaviour. In particular cases, our constraints can be put in the form of the Refined de Sitter Conjecture.

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Section: Introductionmentioning

confidence: 99%

Revisiting the scalar weak gravity conjecture

2020

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“…Thus for a massive scalar only an unstable potential with λ < 0 would be allowed. Based on this observation (as applied to the case in [15]) some counter-examples were argued to exist in [37]. In the new results in the present paper both signs of λ are allowed.…”

Section: Strong Scalar Weak Gravity Conjecturementioning

confidence: 59%

“…2. The constraint disappears as M p → ∞, unlike other versions of the WGC involving scalars [15,37].…”

Section: Jhep12(2020)039mentioning

confidence: 90%

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Pair production and gravity as the weakest force

Gonzalo

Ibáñez

2020

J. High Energ. Phys.

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The Weak Gravity Conjecture (WGC) is usually formulated in terms of the stability of extremal black-holes or in terms of long distance Coulomb/Newton potentials. However one can think of other physical processes to compare the relative strength of gravity versus other forces. We argue for an alternative formulation in terms of particle pair production at threshold or, equivalently, pair annihilation at rest. Imposing that the production rate by any force mediator (photon or scalar) of pairs of charged particles be larger or equal to graviton production, we recover known conditions for the U(1) WGC and its extensions. Unlike other formulations though, threshold pair production is sensitive to short range couplings present in scalar interactions and gives rise to a Scalar WGC. Application to moduli scalars gives rise to specific conditions on the trilinear and quartic couplings which involve first and second derivatives of the WGC particle mass with respect to the moduli. Some solutions saturating equations correspond to massive states behaving like BPS, KK and winding states which feature duality invariance and are in agreement with the Swampland distance conjecture. Conditions for N = 2 BPS states saturate our bounds and we discuss specific examples of BPS states which become massless at large Kahler moduli in Type IIA N=2, D=4 CY and orbifold compactifications. We study possible implications for potentials depending on moduli only through WGC massive states. For some simple classes of potentials one recovers constraints somewhat similar but not equivalent to a Swampland dS conjecture.

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“…An interesting generalization of the WGC is its application to forces mediated by light scalar fields and one can find various proposals in the literature [4]- [14]. The first formulation of a version of the WGC to scalar fields is due to Palti [4], who considered particles whose masses m depend on some light scalar φ by means of trilinear couplings ∂ φ m. In this case the conjecture states that (∂ φ m) 2 ≥ m 2 /M 2 P , so that the force mediated by φ is stronger than the gravitational force.…”

Section: Introductionmentioning

confidence: 99%

Covariant formulation of BPS black holes and the scalar weak gravity conjecture

Dall’Agata

Morittu

2020

J. High Energ. Phys.

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In this note we analyze the BPS black hole equations in extended supergravities and we find two interesting relations involving first and second derivatives of combinations of the central charges. One relation is a new identity that solely relies on the geometric properties of the scalar manifolds of extended supergravity theories. The other relation is a generalization of a scalar weak gravity conjecture relation conjectured by Palti and uses properties of the underlying black hole solution. We also provide for the first time an explicit covariant construction of the BPS squared action for such solutions.

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A conjecture on the minimal size of bound states

Cited by 26 publications

References 89 publications

Revisiting the scalar weak gravity conjecture

Revisiting the scalar weak gravity conjecture

Pair production and gravity as the weakest force

Covariant formulation of BPS black holes and the scalar weak gravity conjecture

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