Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field

We present a conjecture for the density matrix of a finite segment of the XXZ chain coupled to a heat bath and to a constant longitudinal magnetic field. It states that the inhomogeneous density matrix, conceived as a map which associates with every local operator its thermal expectation value, can be written as the trace of the exponential of an operator constructed from weighted traces of the elements of certain monodromy matrices related to $U_q (\hat{\mathfrak{sl}}_2)$ and only two transcendental functions pertaining to the one-point function and the neighbour correlators, respectively. Our conjecture implies that all static correlation functions of the XXZ chain are polynomials in these two functions and their derivatives with coefficients of purely algebraic origin.Comment: 35 page

Hidden Grassmann structure in the XXZ model V: sine-Gordon model

We study one-point functions of the sine-Gordon model on a cylinder. Our approach is based on a fermionic description of the space of descendent fields, developed in our previous works for conformal field theory and the sine-Gordon model on the plane. In the present paper we make an essential addition by giving a connection between various primary fields in terms of yet another kind of fermions. The one-point functions of primary fields and descendants are expressed in terms of a single function defined via the data from the thermodynamic Bethe Ansatz equations.Comment: 36 pages. Some corrections are done in latest version, especially in the subsection 10.

Exact evaluation of density matrix elements for the Heisenberg chain

We have obtained all the density matrix elements on six lattice sites for the spin-1/2 Heisenberg chain via the algebraic method based on the quantum Knizhnik-Zamolodchikov equations. Several interesting correlation functions, such as chiral correlation functions, dimer-dimer correlation functions, etc... have been analytically evaluated. Furthermore we have calculated all the eigenvalues of the density matrix and analyze the eigenvalue-distribution. As a result the exact von Neumann entropy for the reduced density matrix on six lattice sites has been obtained.Comment: 33 pages, 4 eps figures, 3 author

Measuring the Higgs Branching Fraction into two Photons at Future Linear \ee Colliders

We examine the prospects for measuring the \gaga branching fraction of a Standard Model-like Higgs boson with a mass of 120 GeV at the future TESLA linear \ee collider, assuming an integrated luminosity of 1 ab$^{-1}$ and center-of-mass energies of 350 GeV and 500 GeV. The Higgs boson is produced in association with a fermion pair via the Higgsstrahlung process \ee $\to ZH$, with $Z \to$ \qq or \nn, or the WW fusion reaction $e^+e^- \to \nu_e \bar{\nu_e} H$. A relative uncertainty on BF(\hgg) of~16% can be achieved in unpolarized \ee collisions at $\sqrt{s}$=~500 GeV, while for $\sqrt{s}$=~350 GeV the expected precision is slightly poorer. With appropriate initial state polarizations $\Delta$BF(\hgg)/BF(\hgg) can be improved to 10%. If this measurement is combined with the expected error for the total Higgs width, a precision of 10% on the \gaga Higgs boson partial width appears feasible.Comment: 14 pages, 5 figure

Branching Fraction Measurements of the SM Higgs with a Mass of 160 GeV at Future Linear \ee Colliders

Assuming an integrated luminosity of 500 fb$^{-1}$ and a center-of-mass energy of 350 GeV, we examine the prospects for measuring branching fractions of a Standard Model-like Higgs boson with a mass of 160 GeV at the future linear \ee collider TESLA when the Higgs is produced via the Higgsstrahlung mechanism, \ee \pfr HZ. We study in detail the precisions achievable for the branching fractions of the Higgs into WW$^*$, ZZ$^*$ and \bb. However, the measurement of BF(H \pfr \gaga) remains a great challence. Combined with the expected error for the inclusive Higgsstrahlung production rate the uncertainty for the total width of the Higgs is estimated.Comment: 17 pages Latex, including 7 figure

Short-distance thermal correlations in the XXZ chain

Recent studies have revealed much of the mathematical structure of the static correlation functions of the XXZ chain. Here we use the results of those studies in order to work out explicit examples of short-distance correlation functions in the infinite chain. We compute two-point functions ranging over 2, 3 and 4 lattice sites as functions of the temperature and the magnetic field for various anisotropies in the massless regime $- 1 < \Delta < 1$. It turns out that the new formulae are numerically efficient and allow us to obtain the correlations functions over the full parameter range with arbitrary precision.Comment: 25 pages, 5 colored figure

Characteristics of campers who used various types of shelter equipment at Chicot State Park in Louisiana

The primary objective of this study was to identify the needs and desires of campers who use various types of shelter equipment. Identifying and evaluating camper tastes and preferences provide outdoor recreation planners with the knowledge needed for designing campgrounds which fit the needs of the campers. Campers were classified into four categories, based on the type of shelter equipment that they use: I. Campers who use travel trailers or motor homes over 23 feet in length. II. Campers who use either travel trailers or motor homes less than 23 feet in length, or pickup truck campers or vans with plumbing facilities (shower, toilet, sink). III. Campers who use either pickup truck campers or vans without plumbing facilities, or tent trailers. IV. Campers who use tents. Data for the study were obtained from 413 personal interviews which were conducted in three campgrounds at Chicot State Park in Louisiana. Questions revealing type of equipment owned and desired, camping experience, socioeconomic characteristics, reasons for camping and characteristics of a preferred campsite were asked each respondent. Chi-square analysis, Duncan\u27s Multiple Range Statistical Test and one-way analysis of variance were used to determine which characteristics were significantly different between the camper classes. Results showed that the four classes had unique socioeconomic characteristics, suggesting that each class was different from the others, The data revealed that only three of the four classes of campers had different campsite preferences. Campers in Classes I and II generally desired the same campsite attributes. Respondents who camped on weekdays had different characteristics from those who camped on weekends. These findings suggest that campsites should not be designed to accommodate all types of campers. Three different types of campsites are desired by the four classes of campers. If it is impractical to provide three types of campsites in an area, then efforts should be made to design two types of campsites, one for tent campers and the other for nontent campers. Forcing campers to use campsites with undesirable attributes will not permit them to have maximum enjoyment from their recreational experiences

Particles and strings in a (2+1)-D integrable quantum model

We give a review of some recent work on generalization of the Bethe ansatz in the case of $2+1$-dimensional models of quantum field theory. As such a model, we consider one associated with the tetrahedron equation, i.e. the $2+1$-dimensional generalization of the famous Yang--Baxter equation. We construct some eigenstates of the transfer matrix of that model. There arise, together with states composed of point-like particles analogous to those in the usual $1+1$-dimensional Bethe ansatz, new string-like states and string-particle hybrids