Ground State Pressure and Energy Density of a Homogeneous Bose Gas in Two Dimensions

We consider an interacting homogeneous Bose gas at zero temperature in two spatial dimensions. The properties of the system can be calculated as an expansion in powers of g, where g is the coupling constant. We calculate the ground state pressure and the ground state energy density to second order in the quantum loop expansion. The renormalization group is used to sum up leading and subleading logarithms from all orders in perturbation theory. In the dilute limit, the renormalization group improved pressure and energy density are essentially expansions in powers of the T-matrix.Comment: 1 figure, revte

Association between quality of clinical practice guidelines and citations given to their references

It has been suggested that bibliometric analysis of different document types may reveal new aspects of research performance. In medical research a number of study types play different roles in the research process and it has been shown, that the evidence-level of study types is associated with varying citation rates. This study focuses on clinical practice guidelines, which are supposed to gather the highest evidence on a given topic to give the best possible recommendation for practitioners. The quality of clinical practice guidelines, measured using the AGREE score, is compared to the citations given to the references used in these guidelines, as it is hypothesised, that better guidelines are based on higher cited references. AGREE scores are gathered from reviews of clinical practice guidelines on a number of diseases and treatments. Their references are collected from Web of Science and citation counts are normalised using the item-oriented z-score and the PPtop-10% indicators. A positive correlation between both citation indicators and the AGREE score of clinical practice guidelines is found. Some potential confounding factors are identified. While confounding cannot be excluded, results indicate low likelihood for the identified confounders. The results provide a new perspective to and application of citation analysis.Comment: Paper submitted to 14th International Society of Scientometrics and Informetrics Conferenc

Theory of the Weakly Interacting Bose Gas

We review recent advances in the theory of the three-dimensional dilute homogeneous Bose gas at zero and finite temperature. Effective field theory methods are used to formulate a systematic perturbative framework that can be used to calculate the properties of the system at T=0. The perturbative expansion of these properties is essentially an expansion in the gas parameter $\sqrt{na^3}$, where $a$ is the s-wave scattering length and $n$ is the number density. In particular, the leading quantum corrections to the ground state energy density, the condensate depletion, and long-wavelength collective excitations are rederived in and efficient and economical manner. We also discuss nonuniversal effects. These effects are higher-order corrections that depend on properties of the interatomic potential other than the scattering length, such as the effective range. We critically examine various approaches to the dilute Bose gas in equilibrium at finite temperature. These include the Bogoliubov approximation, the Popov approximation, the Hartree-Fock-Bogoliubov approximation, the $\Phi$-derivable approach, optimized perturbation theory, and renormalization group techniques. Finally, we review recent calculations of the critical temperature of the dilute Bose gas, which include 1/N-techniques, lattice simulations, self-consistent calculations, and variational perturbation theory.Comment: 44 pages, 20 Postscript figures. Revised version. Expanded by 7 pages and 4 figs. Updated section on T_c and updated list of references. Discussion on atomic potentials and effective field theory added. Revised version accepted for publication in Review of Modern physic