Chiral Tomonaga-Luttinger Liquids and the Calogero-Sutherland Model with Boundaries
Takashi Yamamoto, Norio Kawakami, Sung-Kil Yang
TL;DR
This paper investigates the boundary effects in the Calogero-Sutherland model of BC_N-type, revealing its universality class as a chiral Tomonaga-Luttinger liquid and deriving correlation exponents influenced by interaction strength.
Contribution
It applies boundary conformal field theory to classify the low-energy behavior of the BC_N Calogero-Sutherland model as a chiral Tomonaga-Luttinger liquid and calculates correlation exponents.
Findings
Identifies the universality class as a chiral Tomonaga-Luttinger liquid.
Derives correlation exponents depending on interaction strength.
Analyzes boundary critical behavior of the model.
Abstract
Applying boundary conformal field theory we study the low-energy critical behavior of the Calogero-Sutherland model of -type. The universality class of the model is found to be a {\it chiral} Tomonaga-Luttinger liquid. Various correlation exponents depending on the interaction strength are obtained.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Black Holes and Theoretical Physics