Smirnov-Type Integral Formulae for Correlation Functions of the Bulk/Boundary XXZ Model in the Anti-Ferromagnetic Regime | Zendy

Yas-Hiro Quano | Zendy

Open Access

Smirnov-Type Integral Formulae for Correlation Functions of the Bulk/Boundary XXZ Model in the Anti-Ferromagnetic Regime

Author(s) -

Yas-Hiro Quano

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.108.435

Subject(s) - bosonization , physics , type (biology) , mathematical physics , affine transformation , integral equation , quantum , vertex (graph theory) , boundary value problem , quantum affine algebra , kernel (algebra) , ferromagnetism , quantum mechanics , quantum electrodynamics , pure mathematics , mathematical analysis , fermion , mathematics , algebra over a field , combinatorics , ecology , graph , algebra representation , cellular algebra , biology

Presented are the integral solutions to the quantum Knizhnik-Zamolodchikovequations for the correlation functions of both the bulk and boundary XXZmodels in the anti-ferromagnetic regime. The difference equations can bederived from Smirnov-type master equations for correlation functions on thebasis of the CTM bootstrap. Our integral solutions with an appropriate choiceof the integral kernel reproduce the formulae previously obtained by using thebosonization of the vertex operators of the quantum affine algebra $U_q(\hat{\mathfrak{sl}_2})$.Comment: 21pages, LaTex2

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research