  Using a path integral approach and bosonization, we calculate the low energy
asymptotics of the one particle Green's function for a ``magnetically
incoherent'' one dimensional strongly interacting electron gas at temperatures
much greater than the typical exchange energy but much lower than the Fermi
energy. The Green's function exhibits features reminiscent of spin-charge
separation, with exponential spatial decay and scaling behavior with
interaction dependent anomalous exponents inconsistent with any unitary
conformal field theory. We compute the tunneling density of states at low
energies and find that it is a power law in energy with exponent $1/(4g)-1$,
where $g$ is the Luttinger interaction parameter in the charge sector. The
underlying physics is made transparent by the simplicity of the approach. Our
results generalize those of Cheianov and Zvonarev [Phys. Rev. Lett. {\bf 92},
176401 (2004)].
