FIG. 9: The phase diagram in the β vs. µ plane. The circles show the value of µ (0) c as a function of β given in table V. The solid line that connects these points forms the phase boundary between the normal phase and the superfluid phase. This transition is second order. Si nce the particles repel each other we speculate that at higher densities a first order transition (dashed lin e) may separate the superfluid phase from a solid or a super-solid phase. Acknowledgments We would like to thank Jyotirmoy Maiti and Sayantan Sharma for contributing to this project in its initial stages. DB would like to thank Arnab Sen for discussions at various stages of the project. SC would like to thank the members of the theory group at the Tata Institute of Funda- mental Research (TIFR) for invitation and hospitality where this work was envisioned and partly accomplished. We would like to thank Gert Aarts for motivating us in this work and Philippe de Forcrand for a useful observation. This work was supported in part by the U.S. Department of Energy (USDOE) grant DE-FG02-05ER41368 and the U.S. National Science Foundation grant DMR-0506953. The computational resources used were two computer clusters, one funded by the USDOE located at Duke University and the other funded by the DAE of India located at TIFR. 24 0 0.1 0.2 0.3 0.4 0.5 1 2 3 4 Normal Superfluid (Super)Solid ?