10,552 research outputs found
Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions
We study density correlation functions for an impenetrable Bose gas in a
finite box, with Neumann or Dirichlet boundary conditions in the ground state.
We derive the Fredholm minor determinant formulas for the correlation
functions. In the thermodynamic limit, we express the correlation functions in
terms of solutions of non-linear differential equations which were introduced
by Jimbo, Miwa, M\^ori and Sato as a generalization of the fifth Painlev\'e
equations.Comment: LaTEX file, 27 pages, to appear in J. Stat. Phys. (1997
The 19-Vertex Model at critical regime
We study the 19-vertex model associated with the quantum group
at critical regime . We give the realizations of the
type-I vertex operators in terms of free bosons and free fermions. Using these
free field realizations, we give the integral representations for the
correlation functions.Comment: LaTEX2e, 19page
Form factors of the half-infinite XXZ spin chain with a triangular boundary
The half-infinite XXZ spin chain with a triangular boundary is considered in
the massive regime. Two integral representations of form factors of local
operators are proposed using bosonization. Sufficient conditions such that the
expressions for triangular boundary conditions coincide with those for diagonal
boundary conditions are identified. The expressions are compared with known
results upon specializations.Using the spin-reversal property which relates the
Hamiltonian with upper and lower triangular boundary conditions, new identities
between multiple integrals of infinite products are extracted.Comment: LaTEX, 31 page
Free field approach to diagonalization of boundary transfer matrix : recent advances
We diagonalize infinitely many commuting operators . We call these
operators the boundary transfer matrix associated with the quantum
group and the elliptic quantum group. The boundary transfer matrix is related
to the solvable model with a boundary. When we diagonalize the boundary
transfer matrix, we can calculate the correlation functions for the solvable
model with a boundary. We review the free field approach to diagonalization of
the boundary transfer matrix associated with and
. We construct the free field realizations of the
eigenvectors of the boundary transfer matrix . This paper includes new
unpublished formula of the eigenvector for . It is thought that
this diagonalization method can be extended to more general quantum group
and elliptic quantum group .Comment: To appear in Group 28 : Group Theoretical Method in Physic
The SU(n) invariant massive Thirring model with boundary reflection
We study the SU(n) invariant massive Thirring model with boundary reflection.
Our approach is based on the free field approach. We construct the free field
realizations of the boundary state and its dual. For an application of these
realizations, we present integral representations for the form factors of the
local operators.Comment: LaTEX2e file, 27 page
-analog of the XXZ chain with a boundary
We study analog of the XXZ spin chain with a boundary
magnetic field h. We construct explicit bosonic formulas of the vacuum vector
and the dual vacuum vector with a boundary magnetic field. We derive integral
formulas of the correlation functions.Comment: 24 pages, LaTEX2
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