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Arbitrarily long lived modes, called quasi-resonances, are known to exist inthe spectrum of massive fields for a number of black-hole backgrounds at somediscrete values of mass of the field. Here we show that these modes also existin the background of wormholes, unless a wormhole has a constant red-shiftfunction, that is, tideless in the radial direction. The evidence ofquasi-resonances is supported by calculations in the frequency and timedomains, which are in a good concordance. At large masses of the field,time-domain profiles of the absolute value of the wave function have peculiarbehavior: the long-lived modes dominate in the signal after a long period ofpower-law tails.

Arbitrarily long-lived quasinormal modes in a wormhole background