We study a homopolymer model of a protein chain, where each monomer ca
rries a dipole moment. To mimic the geometry of the peptidic bond, the
se dipoles are constrained to be locally perpendicular to the chain. T
he tensorial character of the dipolar interaction leads naturally to a
(tensorial) liquid crystal-like order parameter. For non chiral chain
s, a mean field study of this model shows that a classical theta colla
pse transition occurs first; at lower temperature, nematic order sets
in. For chiral chains, an anisotropic (tensorial) collapse transition
may occur before the theta temperature is reached: the ordered phase c
an be described as a ''compact phase of secondary structures'', and po
ssesses great similarities with the liquid crystal blue phases.