Embedding the sawtooth limit in a zigzag ladder of two coupled SU(2)_1 CFTs with extreme velocity ratio cancels the leading staggered interaction, leaving a marginal twist that collapses the apical spin velocity and causes energy-scale collapse independent of spatial correlation length.
An introduction to bosonization
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abstract
This is an expanded version of a lecture given at the {\it Workshop on Theoretical Methods for Strongly Correlated Fermions}, held at the {\it Centre de Recherches Math\'ematiques}, in Montr\'eal, from May 26 to May 30, 1999. After general comments on the relevance of field theory to condensed matter systems, the continuum description of interacting electrons in 1D is summarized. The bosonization procedure is then introduced heuristically, but the precise quantum equivalence between fermion and boson is also presented. Then the exact solution of the Tomonaga-Luttinger model is carried out. Two other applications of bosonization are then sketched. We end with a quick introduction to non-Abelian bosonization.
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The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².
Vertex operators of a chiral boson realize dichotomic bounded Hermitian operators that saturate the Tsirelson bound of the Bell-CHSH inequality in the vacuum.
Finite-size analysis of Schulz-Shastry-Luttinger liquids in saturated spin-1/2 zigzag chains reveals anyonic signatures under periodic and Dirichlet boundary conditions via Friedel oscillations, persistent currents, and spin correlations.
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Velocity collapse and non-conformal spiral phase in the sawtooth spin chain
Embedding the sawtooth limit in a zigzag ladder of two coupled SU(2)_1 CFTs with extreme velocity ratio cancels the leading staggered interaction, leaving a marginal twist that collapses the apical spin velocity and causes energy-scale collapse independent of spatial correlation length.
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Higher-spin composites and emergent AdS$_3$ geometry in the $(1+1)$-dimensional Gross-Neveu model
The paper proposes that condensate competition in the 2d Gross-Neveu model generates an emergent AdS₃ bulk, a higher-spin tower, D1-branes, and linearized Einstein gravity with G₃ = ℓ_AdS/4πN².
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Bosonization, vertex operators and maximal violation of the Bell-CHSH inequality in wedge regions
Vertex operators of a chiral boson realize dichotomic bounded Hermitian operators that saturate the Tsirelson bound of the Bell-CHSH inequality in the vacuum.
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Finite-size effects in Schulz-Shastry-Luttinger models for determining anyonic signatures in 1d spin chains
Finite-size analysis of Schulz-Shastry-Luttinger liquids in saturated spin-1/2 zigzag chains reveals anyonic signatures under periodic and Dirichlet boundary conditions via Friedel oscillations, persistent currents, and spin correlations.