Numerical Portrait of a Relativistic Thin Film BCS Superfluid

We present results of numerical simulations of the 2+1d Nambu - Jona-Lasinio model with a non-zero baryon chemical potential mu including the effects of a diquark source term. Diquark condensates, susceptibilities and masses are measured as functions of source strength j. The results suggest that diquark condensation does not take place in the high density phase mu>mu_c, but rather that the condensate scales non-analytically with j implying a line of critical points and long range phase coherence. Analogies are drawn with the low temperature phase of the 2d XY model. The spectrum of the spin-1/2 sector is also studied yielding the quasiparticle dispersion relation. There is no evidence for a non-zero gap; rather the results are characteristic of a normal Fermi liquid with Fermi velocity less than that of light. We conclude that the high density phase of the model describes a relativistic gapless thin film BCS superfluid.Comment: 37 pages, 16 figure

The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator Tr∫d4xFμν(D2)−1FμνTr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu} in the Landau gauge

We prove that the nonlocal gauge invariant mass dimension two operator $F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ can be consistently added to the Gribov-Zwanziger action, which implements the restriction of the path integral's domain of integration to the first Gribov region when the Landau gauge is considered. We identify a local polynomial action and prove the renormalizability to all orders of perturbation theory by employing the algebraic renormalization formalism. Furthermore, we also pay attention to the breaking of the BRST invariance, and to the consequences that this has for the Slavnov-Taylor identity.Comment: 30 page

Genomic resources and microarrays for the common carp Cyprinus carpio L.

The common carp is an important fish species satisfying ornamental, food and recreational fisheries’ needs worldwide, but in common with other cyprinid fishes, it is particularly renowned for its environmental tolerance. Investigating the mechanistic basis of growth, disease and environmental tolerance is greatly enhanced by access to a comprehensive list of gene sequences and post-genomic technologies. The current status of genomic resources is described for this species including 40 k cDNA clone collections, their associated expressed sequence tags (ESTs) and a developing series of 13 k–26 k cDNA microarrays fabricated from amplicons. The arrays have been directed at questions of response to environmental stress (cold and hypoxia), viral and bacterial disease and ectoparasite infection. Consequently, clones from a wide range of tissues were prepared. The authors discuss how these resources were generated and their application. Evidence is presented supporting that the carp microarray may also be useful as a heterologous set of probes in studies of other fish species