Perturbation theory of the space-time non-commutative real scalar field theories

The perturbative framework of the space-time non-commutative real scalar field theory is formulated, based on the unitary S-matrix. Unitarity of the S-matrix is explicitly checked order by order using the Heisenberg picture of Lagrangian formalism of the second quantized operators, with the emphasis of the so-called minimal realization of the time-ordering step function and of the importance of the $\star$-time ordering. The Feynman rule is established and is presented using $\phi^4$ scalar field theory. It is shown that the divergence structure of space-time non-commutative theory is the same as the one of space-space non-commutative theory, while there is no UV-IR mixing problem in this space-time non-commutative theory.Comment: Latex 26 pages, notations modified, add reference

Patterns of Striped order in the Classical Lattice Coulomb Gas

We obtain via Monte Carlo simulations the low temperature charge configurations in the lattice Coulomb gas on square lattices for charge filling ratio $f$ in the range $1/3 < f < 1/2$. We find a simple regularity in the low temperature charge configurations which consist of a suitable periodic combination of a few basic striped patterns characterized by the existence of partially filled diagonal channels. In general there exist two separate transitions where the lower temperature transition ($T_p$) corresponds to the freezing of charges within the partially filled channels. $T_p$ is found to be sensitively dependent on $f$ through the charge number density $\nu = p_{1}/q_{1}$ within the channels.Comment: 4 pages, 8 figure

Growth Characteristics of Superior Lines of Zoysia Grass (\u3cem\u3eZoysia Japonica\u3c/em\u3e) And Development of Its DNA Markers

Demand for turf grass has steadily increased for recreation and sport fields after the 2002 Korea-Japan World Cup in Korea. Zoysia grass has the advantage of easy management, including low water and fertiliser requirement, but has limitations such as low recovery, low shoot density and short green period (Kim et al., 1999). Objectives of this research were to select superior lines in the collected clones, compare the superior lines of zoysia grass with other standard cultivars for growth characteristics and to develop the DNA markers of superior lines

Growth Characteristics of Ecotype Superior Line of Bermudagrass and Development of Its rDNA Markers

Interest in turfgrass has steadily increased in Korea since the 2002 Korea-Japan World Cup . Use of zoysiagrass (Zoysia japonica L.) has been limited due to its slow recovery, low shoot density, short green period and low wear tolerance during dormancy (Lee et. al., 1999). Bermudagrass has high quality and fast recovery, but has low cold tolerance (Richardson et. al., 1978). This research compared the growth characteristics of a superior line of bermudagrass, named as Joyspy with other standard cultivars and to develop its rDNA markers

A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp

The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials and q-Genocchi numbers with weight alpha and beta. We apply the method of generating function and p-adic q-integral representation on Zp, which are exploited to derive further classes of Bernstein polynomials and q-Genocchi numbers and polynomials. To be more precise we summarize our results as follows, we obtain some combinatorial relations between q-Genocchi numbers and polynomials with weight alpha and beta. Furthermore, we derive an integral representation of weighted q-Bernstein polynomials of degree n on Zp. Also we deduce a fermionic p-adic q-integral representation of product weighted q-Bernstein polynomials of different degrees n1,n2,...on Zp and show that it can be written with q-Genocchi numbers with weight alpha and beta which yields a deeper insight into the effectiveness of this type of generalizations. Our new generating function possess a number of interesting properties which we state in this paper.Comment: 10 page

Effect of the Mixed Rates of Endophyte-Free and -Infected Seed on the Dry Matter Yield and Forage Quality of Tall Fescue

This study was carried out to investigate the effect of the mixed rates of endophyte-free and infected seed on the dry matter yield and forage quality of tall fescue in Korea. In experiment, mixed ratios of endophyte-infected and -free seed were compared under the fourth cutting. Dry matter yield and forage quality of tall fescue were not influenced by mixed rates. The weed contents of botanical composition were slightly increased with high ratios of endophyte-free seed. The results demonstrated that endophyte-free tall fescue did not seem to be greatly weak under bad conditions