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Ghost-free resummation of gravitational interactions of a 2-form gauge field

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arxiv 1910.12508 v2 pith:JR2XI3IF submitted 2019-10-28 gr-qc astro-ph.COhep-th

classification gr-qcastro-ph.COhep-th
keywords derivativedimensionsfieldformfourgaugeghost-freehigher
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We find that the recently-proposed ghost-free interaction of a 2-form gauge field in four dimensions, which contains derivative couplings in a nonperturbative manner, can be regarded as a resummation of ghostly interaction terms. We investigate the higher derivative structure of this model in a minisuperspace description and demonstrate that the higher derivative terms can be removed by taking appropriate combinations of the Euler-Lagrange equations, while a truncation at a finite order spoils this structure. We also show that this nature is peculiar to four dimensions.

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    Shift-symmetric Horndeski scalars with a spatial gradient realize moving dark energy, with a universal momentum density T^0i = -Q lambda^i / sqrt(-g) and observable imprints on the CMB dipole and quadrupole.

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