  The low temperature transport of electron, or vibrational or electronic
exciton towards polymer chains turns out to be dramatically sensitive to its
interaction with transverse acoustic vibrations. We show that this interaction
leads to substantial polaron effect and decoherence, which are generally
stronger than those associated with longitudinal vibrations. For site-dependent
interactions transverse phonons form subohmic bath leading to the quantum phase
transition accompanied by full suppression of the transport at zero temperature
and fast decoherence characterized by temperature dependent rate of temperature
to the power of two thirds at low temperature while this rate rate ois
proportional to the squared temperature for site-independent interactions. The
latter dependence was used to interpret recent measurements of temperature
dependent vibrational energy transport in polyethylene glycol oligomers.
