The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group

The non-perturbative Wegner-Houghton renormalization group is analyzed by the local potential approximation in O(N) scalar theories in d-dimensions $(3\leq d\leq 4)$. The leading critical exponents \nu are calculated in order to investigate the effectiveness of the local potential approximation by comparing them with the other non-perturbative methods. We show analytically that the local potential approximation gives the exact exponents up to $O(\epsilon )$ in \epsilon-expansion and the leading in 1/N-expansion. We claim that this approximation offers fairly accurate results in the whole range of the parameter space of N and d. It is a great advantage of our method that no diverging expansions appear in the procedure.Comment: 13 pages, latex, 6 figure

Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry

The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi couplings in the sharp cutoff renormalzation group scheme, from which the critical couplings and the anomalous dimensions of the fermion composite operators near criticality are immediately obtained. It is also shown that the beta functions lead to the same critical behavior found by solving the so-called ladder Schwinger-Dyson equation, if we restrict the radiative corrections to a certain limited type.Comment: 13 pages, 7 epsf figure

Rapidly Converging Truncation Scheme of the Exact Renormalization Group

The truncation scheme dependence of the exact renormalization group equations is investigated for scalar field theories in three dimensions. The exponents are numerically estimated to the next-to-leading order of the derivative expansion. It is found that the convergence property in various truncations in the number of powers of the fields is remarkably improved if the expansion is made around the minimum of the effective potential. It is also shown that this truncation scheme is suitable for evaluation of infrared effective potentials. The physical interpretation of this improvement is discussed by considering O(N) symmetric scalar theories in the large-N limit.Comment: 17 pages including 13 figures, LaTeX, to appear in Prog. Theor. Phys., references adde

Compositon of Tantalum Nitride Thin Films Grown by Low-Energy Nitrogen Implantation: A Factor Analysis Study of the Ta 4f XPS Core Level

Tantalum nitride thin films have been grown by in situ nitrogen implantation of metallic tantalum at room temperature over the energy range of 0.5-5keV. X-ray photoelectron spectroscopy (XPS) and Factor Analysis (FA) have been used to characterise the chemical composition of the films. The number of the different Ta-N phases formed during nitrogen implantation, as well as their spectral shape and concentrations, have been obtained using principal component analysis (PCA) and iterative target transformation factor analysis (ITTFA), without any prior assumptions. According to FA results, the composition of the tantalum nitride films depends on both the ion dose and ion energy, and is mainly formed by a mixture of metallic tantalum, beta-TaN0.05, gamma-Ta2N and cubic/hexagonal TaN phases.Comment: 24 pages, 5 figures submitted to Applied Physics

Development of Changes in VEP and Associate Neuropathology on Creutzfeldt-Jakob Disease

A case, 74-year-old female, of Creutzfeldt-Jakob disease (CJD) was reported with a chronological changes of visual evoked potentials (VEPs) and neuropathological findings. The disease started with a disturbance of visual integration and developed to blindness, myoclonus, mental deterioration and akinetic mutism. A clinical diagnosis was made by a periodic synchronous discharge of EEG and other neurological specificity. Autopsy findings showed a peculiar spongy degeneration of the cerebral cortex. The flash VEP showed a loss of w-shaped wave and a marked delay of the peak latencies in the early stage. Subsequently, the once delayed latency was shortened with the advance of the illness in the middle stage and the N70-P100 amplitude became a huge triphasic wave like inversed ERG. Topographic distribution of the focus of huge component appeared on the left parieto-occipital region. At the terminal stage, the amplitude of huge component reduced. The mechanism of specific VEP changes in this case was interpreted to be due to the loss of generator due to spongy degeneration and the existence of cell fusion in the occipital cortex

Transcriptional regulation of PIN genes by FOUR LIPS and MYB88 during Arabidopsis root gravitropism

PIN proteins are auxin export carriers that direct intercellular auxin flow and in turn regulate many aspects of plant growth and development including responses to environmental changes. The Arabidopsis R2R3-MYB transcription factor FOUR LIPS (FLP) and its paralogue MYB88 regulate terminal divisions during stomatal development, as well as female reproductive development and stress responses. Here we show that FLP and MYB88 act redundantly but differentially in regulating the transcription of PIN3 and PIN7 in gravity-sensing cells of primary and lateral roots. On the one hand, FLP is involved in responses to gravity stimulation in primary roots, whereas on the other, FLP and MYB88 function complementarily in establishing the gravitropic set-point angles of lateral roots. Our results support a model in which FLP and MYB88 expression specifically determines the temporal-spatial patterns of PIN3 and PIN7 transcription that are closely associated with their preferential functions during root responses to gravity

Cynomolgus monkey testicular cDNAs for discovery of novel human genes in the human genome sequence

BACKGROUND: In order to contribute to the establishment of a complete map of transcribed regions of the human genome, we constructed a testicular cDNA library for the cynomolgus monkey, and attempted to find novel transcripts for identification of their human homologues. RESULT: The full-insert sequences of 512 cDNA clones were determined. Ultimately we found 302 non-redundant cDNAs carrying open reading frames of 300 bp-length or longer. Among them, 89 cDNAs were found not to be annotated previously in the Ensembl human database. After searching against the Ensembl mouse database, we also found 69 putative coding sequences have no homologous cDNAs in the annotated human and mouse genome sequences in Ensembl. We subsequently designed a DNA microarray including 396 non-redundant cDNAs (with and without open reading frames) to examine the expression of the full-sequenced genes. With the testicular probe and a mixture of probes of 10 other tissues, 316 of 332 effective spots showed intense hybridized signals and 75 cDNAs were shown to be expressed very highly in the cynomolgus monkey testis, but not ubiquitously. CONCLUSIONS: In this report, we determined 302 full-insert sequences of cynomolgus monkey cDNAs with enough length of open reading frames to discover novel transcripts as human homologues. Among 302 cDNA sequences, human homologues of 89 cDNAs have not been predicted in the annotated human genome sequence in the Ensembl. Additionally, we identified 75 dominantly expressed genes in testis among the full-sequenced clones by using a DNA microarray. Our cDNA clones and analytical results will be valuable resources for future functional genomic studies