Complex sentence: Under this assumption, the ground state of the free electron gas can be adiabatically transformed into the ground state of the interacting system and this gives rise to an inelastic scattering length so that the canonical correlation length exponent can be compared to the measured critical exponent.
Split into simpler sentences: Under this assumption, the ground state of the free electron gas can be adiabatically transformed into the ground state of the interacting system. This gives rise to an inelastic scattering length so that the canonical correlation length exponent can be compared to the measured critical exponent.