Effect of triple interaction on energy delocalization in the strongly disordered system of interacting two-level defects

We accurately treat the effect of the double and triple interactions of two-level systems (TLS) in glasses onto the energy delocalization due to the long-range interaction of TLS. Although this work qualitatively reproduces the estimates of our previous work we believe that it is important because in this paper the estimates are done with quantitative accuracy. This work can serve as the important step towards the development of quantitative theory of many-body delocalization due to the long-range interaction. Our study is compared with the recent work by Bodea et al claiming that the interaction of TLS triples leads to the energy delocalization. We cannot agree with the mentioned work because as we show the interaction of TLS triples was overestimated there and therefore the result for the TLS relaxation rate obtained there is invalid.