Topological Susceptibility under Gradient Flow

We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility $\chi_{\rm t}$ is measured directly, and by the slab method, which is based on the topological content of sub-volumes ("slabs") and estimates $\chi_{\rm t}$ even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, $\xi^{2}$). This ongoing study is based on direct measurements of $\chi_{\rm t}$ in $L \times L$ lattices, at $L/\xi \simeq 6$.Comment: 8 pages, LaTex, 5 figures, talk presented at the 35th International Symposium on Lattice Field Theory, June 18-24, 2017, Granada, Spai

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-2

a Venn diagram. B, C. Heatmap representation of commonly up-regulated genes (B) and commonly down-regulated genes (C) in overlapping genes, respectively. Samples are displayed in columns and genes in rows. Gene expression is represented as a color, normalized across each row, with brighter red for higher values and brighter green for lower values. Gene symbols are listed to the right. N (Normal control group), Int (intermediate lesions group), Ad (advanced lesions group).<p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-7

S illustrated with significantly regulated genes highlighted.<p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-5

Ption factors (AP-1 and CREB) were significantly enriched in disease progression (q-value <p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-9

8 um cryostat sections were stained with hematoxylin and eosin, dehydrated in graded alcohol, and cover-slipped with permanent mounting solution after xylene clearing. Three representative samples are listed: normal artery (A, B, C), intermediate lesions (D, E, F), and advanced lesions (G, H, I).<p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-0

8 um cryostat sections were stained with hematoxylin and eosin, dehydrated in graded alcohol, and cover-slipped with permanent mounting solution after xylene clearing. Three representative samples are listed: normal artery (A, B, C), intermediate lesions (D, E, F), and advanced lesions (G, H, I).<p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-3

To three major clusters by visual inspection. Clustering method: Average linking; Similarity measure: Euclidean distance. Samples are displayed in columns and genes in rows. Gene expression is represented as a color, normalized across each row, with brighter red for higher values and brighter green for lower values. N (Normal control group), Int (intermediate lesions group), Ad (advanced lesions group). The list of differentially expressed genes in disease progression is provided [see Additional file ].<p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p

Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses-4

descending triangle) were determined by real-time PCR and presented as a ratio to GAPDH mRNA. mRNA abundance in intermediate lesions or advanced lesions was differentially expressed (*P < 0.05, and **P < 0.01, respectively) when normal samples were used for comparison.<p><b>Copyright information:</b></p><p>Taken from "Peripheral arterial occlusive disease: Global gene expression analyses suggest a major role for immune and inflammatory responses"</p><p>http://www.biomedcentral.com/1471-2164/9/369</p><p>BMC Genomics 2008;9():369-369.</p><p>Published online 1 Aug 2008</p><p>PMCID:PMC2529314.</p><p></p