Regularization dependence on phase diagram in Nambu-Jona-Lasinio model

We study the regularization dependence on meson properties and the phase diagram of quark matter by using the two flavor Nambu-Jona-Lasinio model. We find that the meson properties and the phase structure do not show drastically difference depending the regularization procedures. We also find that the location or the existence of the critical end point highly depends on the regularization methods and the model parameters. Then we think that regularization and parameters are carefully considered when one investigates the QCD critical end point in the effective model studies.Comment: 28 page

Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization

Nambu--Jona-Lasinio (NJL) model with Kobayashi-Maskawa-'t Hooft (KMT) term is one of low energy effective theory of QCD which includes the $U_A(1)$ anomaly. We investigate nonet meson properties in this model with three flavors of quarks. We employ two type of regularizations the dimensional and sharp cutoff ones. The model parameters are fixed phenomenologically for each regularization. Evaluating the kaon decay constant, the $\eta$ meson mass and the topological susceptibility, we show the regularization dependence of the results and discuss the applicability of the NJL model.Comment: 11 pages, 9 figure

Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization

We investigate the phase diagram on temperature-chemical potential plane in the Nambu-Jona-Lasinio model with the dimensional regularization. While the structure of the resulting diagram shows resemblance to the one in the frequently used cutoff regularization, some results of our study indicate striking difference between these regularizations. The diagram in the dimensional regularization exhibits strong tendency of the first order phase transition.Comment: 9 pages, 9 figure

Variasi Musiman Produksi Serasah Jenis-jenis Dominan Hutan Pegunungan Rendah Di Taman Nasional Gunung Halimun*[seasonal Variation of Dominant Tree Species Litterfall in Low Montane Forest Gunung Halimun National Park]

The litterfall of Allingia excelsa Noroflha, Schima wallichii (DC) Korth., Castanopsis acuminatissima (Bl.) A. DC, C. javanica (Bl.) A. DC. and Quercus lineata Blume, the dominant tree species of Lower Mountain at Gunung Halimun National Park - West Java were studied.The annual litterfall was 7.0 - 8.2 t ha y and the total litterfall was higher during the rainy season than in the dry season. Each dominant tree species had its own specific pattern of leaf shedding. A. excelsa shed their leaves at the end of the rainy season of the first year, during the biannual period of study, while Q. lineata was opposite.C.javanica shed their leaves mainly in the middle of the rainy season in January to February. There was no clear pattern of leaf shedding on C. acuminatissima,and the species was named as non-seasonally type, while S. wallichii, shed their leaves during the dry season, and was named as the dry season type

Conservation Laws in Cellular Automata

If X is a discrete abelian group and B a finite set, then a cellular automaton (CA) is a continuous map F:B^X-->B^X that commutes with all X-shifts. If g is a real-valued function on B, then, for any b in B^X, we define G(b) to be the sum over all x in X of g(b_x) (if finite). We say g is `conserved' by F if G is constant under the action of F. We characterize such `conservation laws' in several ways, deriving both theoretical consequences and practical tests, and provide a method for constructing all one-dimensional CA exhibiting a given conservation law.Comment: 19 pages, LaTeX 2E with one (1) Encapsulated PostScript figure. To appear in Nonlinearity. (v2) minor changes/corrections; new references added to bibliograph

Nonet meson properties in Nambu-Jona-Lasinio model with dimensional regularization at finite temperature and chemical potential

The nonet meson properties are studied in the Nambu-Jona-Lasinio model at finite temperature and chemical potential using dimensional regularization. This study leads to the reasonable description which is mainly similar to one obtained in the model with the cutoff regularization. However, remarkable differences between the two regularizations are observed in the behavior of the chiral phase transition at finite chemical potential.Comment: 12 pages, 25 figure