期刊
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
卷 66, 期 5, 页码 -出版社
WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.201800020
关键词
KK-compactification; weak gravity
资金
- Research Grants Council (RGC) of Hong Kong [HKUST4/CRF/13G, 604213, 16304414]
- DFG Transregional Collaborative Research Centre [TRR 33]
- Japan Society for the Promotion of Science (JSPS) [17H02894]
- DOE grant [de-sc0017647]
- Kellett Award of the University of Wisconsin
- Grants-in-Aid for Scientific Research [17H02894] Funding Source: KAKEN
- U.S. Department of Energy (DOE) [DE-SC0017647] Funding Source: U.S. Department of Energy (DOE)
We analyze infrared consistency conditions of 3D and 4D effective field theories with massive scalars or fermions charged under multiple U(1) gauge fields. At low energies, one can integrate out the massive particles and thus obtain a one-loop effective action for the gauge fields. In the regime where charge-independent contributions to higher-derivative terms in the action are sufficiently small, it is then possible to derive constraints on the charge-to-mass ratios of the massive particles from requiring that photons propagate causally and have an analytic S-matrix. We thus find that the theories need to contain bifundamentals and satisfy a version of the weak gravity conjecture known as the convex-hull condition. Demanding self-consistency of the constraints under Kaluza-Klein compactification, we furthermore show that, for scalars, they imply a stronger version of the weak gravity conjecture in which the charge-to-mass ratios of an infinite tower of particles are bounded from below. We find that the tower must again include bifundamentals but does not necessarily have to occupy a charge (sub-)lattice. Infrared consistency conditions of 3D and 4D effective field theories with massive scalars or fermions charged under multiple U(1) gauge fields are analyzed. At low energies, one can integrate out the massive particles and thus obtain a one-loop effective action for the gauge fields. In the regime where charge-independent contributions to higher-derivative terms in the action are sufficiently small, it is then possible to derive constraints on the charge-to-mass ratios of the massive particles from requiring that photons propagate causally and have an analytic S-matrix. One thus finds that the theories need to contain bifundamentals and satisfy a version of the weak gravity conjecture known as the convex-hull condition. Demanding self-consistency of the constraints under Kaluza-Klein compactification, it is furthermore shown that, for scalars, they imply a stronger version of the weak gravity conjecture in which the charge-to-mass ratios of an infinite tower of particles are bounded from below. The tower must again include bifundamentals but does not necessarily have to occupy a charge (sub-)lattice.
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