Anomalous dimensions and phase transitions in superconductors

The anomalous scaling in the Ginzburg-Landau model for the superconducting phase transition is studied. It is argued that the negative sign of the $\eta$ exponent is a consequence of a special singular behavior in momentum space. The negative sign of $\eta$ comes from the divergence of the critical correlation function at finite distances. This behavior implies the existence of a Lifshitz point in the phase diagram. The anomalous scaling of the vector potential is also discussed. It is shown that the anomalous dimension of the vector potential $\eta_A=4-d$ has important consequences for the critical dynamics in superconductors. The frequency-dependent conductivity is shown to obey the scaling $\sigma(\omega)\sim\xi^{z-2}$. The prediction $z\approx 3.7$ is obtained from existing Monte Carlo data.Comment: RevTex, 20 pages, no figures; small changes; version accepted in PR

Intestinal Nutrient-Gene Interaction: The Effect of Feed Deprivation and Refeeding on Cholecystokihin and Proglucagon Gene Expression

We tested the hypothesis that dietary components reaching the bovine small intestine influence the expression of genes that encode the gastrointestinal neuropeptides cholecystokinin (CCK) and glucagon-like peptide-1 (GLP-1). The amount of digesta reaching the intestine was manipulated during the experiment by withholding feed from five heifers fitted with ruminal, duodenal, and ileal cannulas for 48 h and then subsequent refeeding. Duodenal and ileal biopsies were collected using a fiber-optic endoscope. A Northern hybridization procedure was used to evaluate changes in gene expression. Blood concentrations of CCK and GLP-1 were determined with RIA. The data indicate that CCK blood concentration and mRNA abundance decreased during the period of feed deprivation, but they returned to predeprivation values within 16 to 24 h of refeeding. The GLP-1 blood concentration also decreased during feed deprivation and returned to predeprivation values within 4 to 8 h of refeeding, despite the fact that proglucagon mRNA abundance did not change significantly during feed deprivation and refeeding. These findings provide evidence that CCK and GLP-1 are released in response to nutrients that reach the small intestine and may be involved in the physiological process of digestion and possibly play a role in regulating feed intake in ruminants