Bosonizations, Vicinal Surfaces, and Hydrodynamic Fluctuation Theory
نویسنده
چکیده
We relate bosonic density uctuations of a Fermi uid in one dimension to surface uctuations. Thereby we easily identify the parameters governing the low energy, Luttinger liquid behavior. In particular we recover the Haldane relation in case the surface is tilted only transversely to the Euclidean time direction. We develop a hydrodynamic uctuation theory for the world lines of particles. Since in this description the particles interact through long range forces, the drift becomes nonlocal, while the current is white noise, as in the short range case.
منابع مشابه
Bosonization, vicinal surfaces, and hydrodynamic fluctuation theory.
Through a Euclidean path integral we establish that the density fluctuations of a Fermi fluid in one dimension are related to vicinal surfaces and to the stochastic dynamics of particles interacting through long range forces with inverse distance decay. In the surface picture one easily obtains the Haldane relation, and identifies the scaling exponents governing the low energy, Luttinger liquid...
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