RESONANCE STRUCTURES IN (3+1)-DIMENSIONAL LAMBDA-PHI-4 FIELD-THEORY AND THEIR STABILITY

Resonance structures in the scalar lambdaphi4 field theory in 3 + 1 dimensions are considered in the spherically symmetric case. They appear as a result of a resonance interaction of the metastable-vacuum bubble walls with an internal breather-like object produced in the first bubble pulsations. The resonance-structure lifetime has been computed previously, and it has been shown that several pulsations of the vacuum bubble are possible for the initial bubble size R0. After that, the radiation destroys the resonance balance, the vacuum bubble disappears (in accordance with the Derrick theorem), and a breather-like object ''surfaces'' from the metastable vacuum to the stable one. The spectra of possible resonance structures are given as a function of the initial bubble size R0 and the amplitude of the breather-like object, epsilon, and a study is made of the mechanism of resonance balance and its lifetime. Factors which may increase the lifetime of such a structure are discussed, and the spectra of the stability equation for particle-like solutions in the case of a scalar field are given.