Bosonization of One-Dimensional Exclusons and Characterization of Luttinger Liquids

We achieve a bosonization of one-dimensional ideal gas of particles obeying exclusion statistics λ (so called λ exclusons) at low temperatures, resulting in a new variant of c0ex0ex=0ex0ex1 conformal field theory with compactified radius R0ex0ex=0ex0ex√1/λ. These ideal excluson gases exactly reproduce the low- T critical properties of Luttinger liquids, so they can be used to characterize the fixed points of the latter. Generalized ideal gases with mutual statistics and nonideal gases with Luttinger-type interactions have also similar low- T behavior, controlled by an effective statistics varying in a fixed-point line.