Dirac Sea for Bosons I -- Formulation of Negative Energy Sea for Bosons

It is proposed to make formulation of second quantizing a bosonic theory by generalizing the method of filling the Dirac negative energy sea for fermions. We interpret that the correct vacuum for the bosonic theory is obtained by adding minus one boson to each single particle negative energy states while the positive energy states are empty. The boson states are divided into two sectors ; the usual positive sector with positive and zero numbers of bosons and the negative sector with negative numbers of bosons. Once it comes into the negative sector it cannot return to the usual positive sector by ordinary interaction due to a barrier. It is suggested to use as a playground model in which the filling of empty fermion Dirac sea and the removal of boson from the negative energy states are not yet performed. We put forward such a naive vacuum world in the present paper. The successive paper will concern a CPT-like Theorem in the naive vacuum world.Comment: 24 pages, 2 figures, Latex; added refereces, corrected typo

Fast reaction limit of a three-component reaction–diffusion system

AbstractWe consider a three-component reaction–diffusion system with a reaction rate parameter, and investigate its singular limit as the reaction rate tends to infinity. The limit problem is given by a free boundary problem which possesses three regions separated by the free boundaries. One component vanishes and the other two components remain positive in each region. Therefore, the dynamics is governed by a system of two equations

Search for Effect of Influence from Future in Large Hadron Collider

We propose an experiment which consists of drawing a card and using it to decide restrictions on the running of Large Hadron Collider (LHC for short) at CERN, such as luminosity, and beam energy. There may potentially occur total shut down. The purpose of such an experiment is to search for influence from the future, that is, backward causation. Since LHC will produce particles of a mathematically new type of fundamental scalars, i.e., the Higgs particles, there is potentially a chance to find unseen effects, such as on influence going from future to past, which we suggest in the present paper.Comment: 18pp, comments added, change of title and corrections of main text; v4:minor typos correcte

Quality of life for persons with disabilities

The praxis of Christian social work in Japan needs to find a new direction due to social changes such as industrialization and technological development. Liberation theology has been responding to the critical stance toward the existing order and identifying with new movements for emancipation and justice. This paper analyzes the ethics of liberation theology and adapts it to the real life situation of people with disabilities in Japan. Chapter I deals with liberation theology and its ethics concerned with disabilities. It defines the measurement of ethics as a quality of life, so that the ethics can be examined in context. Chapter II introduces Japanese social changes as well as traditional ethics. Both ethics of Buddhism and Shintoism discriminate against persons with disabilities; industrialization also created a new type of discrimination and segregation against them, since disability was equated with unproductivity. Since medical technology cuts off human relationship by its system, disability and medical technological ethics were discussed. The paper then analyzes the present Japanese social welfare system and seeks a new dimension. Chapter III is the major research section: the life cycle analysis of a person with disabilities. Socio-psychological personality development is very important to analyze persons with disabilities since many of them were born disabled. Segregation and isolation by medical technology are damaging their personality development. The fetus stage deals with the DNA tests and abortion; the birth stage introduces the relationship between the medical technological system and human sensitivity such as odour, hearing, vision, and skinship; the infancy and early childhood stage discusses westernized changes and a new phenomena in Japan; the play age and school age deals with the Japanese school system and the segregation of children with disabilities; In the adolescent stage, persons with disabilities identify themselves as handicapped; The young adult and adulthood stage discusses institutional life and isolation from their families; The old age and termination of life stage introduces the isolated, dehumanized way life is terminated. The summary introduces the praxis at three levels: the intra personal level discusses self-liberation, participating in the movement; the inter-personal level suggests new church sacraments and the church community integrating people with disabilities into the Christian community; the meta-personal level discusses the social system changes through the consumer and independent living moments and the community-based rehabilitation system

Quark-Jet model for transverse momentum dependent fragmentation functions

In order to describe the hadronization of polarized quarks, we discuss an extension of the quark-jet model to transverse momentum dependent fragmentation functions. The description is based on a product ansatz, where each factor in the product represents one of the transverse momentum dependent splitting functions, which can be calculated by using effective quark theories. The resulting integral equations and sum rules are discussed in detail for the case of inclusive pion production. In particular, we demonstrate that the 3-dimensional momentum sum rules are satisfied naturally in this transverse momentum dependent quark-jet model. Our results are well suited for numerical calculations in effective quark theories, and can be implemented in Monte-Carlo simulations of polarized quark hadronization processes.Comment: 19 pages, 4 figure

Localized and Expanding Entire Solutions of Reaction-Diffusion Equations

This paper is concerned with the spatio-temporal dynamics of nonnegative bounded entire solutions of some reaction-diffusion equations in R N in any space dimension N. The solutions are assumed to be localized in the past. Under certain conditions on the reaction term, the solutions are then proved to be time-independent or heteroclinic connections between different steady states. Furthermore, either they are localized uniformly in time, or they converge to a constant steady state and spread at large time. This result is then applied to some specific bistable-type reactions

Phase transitions in spin-orbital coupled model for pyroxene titanium oxides

We study the competing phases and the phase transition phenomena in an effective spin-orbital coupled model derived for pyroxene titanium oxides ATiSi2O6 (A=Na, Li). Using the mean-field-type analysis and the numerical quantum transfer matrix method, we show that the model exhibits two different ordered states, the spin-dimer and orbital-ferro state and the spin-ferro and orbital-antiferro state. The transition between two phases is driven by the relative strength of the Hund's-rule coupling to the onsite Coulomb repulsion and/or by the external magnetic field. The ground-state phase diagram is determined. There is a keen competition between orbital and spin degrees of freedom in the multicritical regime, which causes large fluctuations and significantly affects finite-temperature properties in the paramagnetic phase.Comment: 4 pages, 6 figures, proceedings submitted to SPQS200

Glycosylation pattern of brush border-associated glycoproteins in enterocyte-like cells: involvement of complex-type N-glycans in apical trafficking

We have previously reported that galectin-4, a tandem repeat-type galectin, regulates the raft-dependent delivery of glycoproteins to the apical brush border membrane of enterocyte-like HT-29 cells. N-Acetyllactosamine-containing glycans, known as galectin ligands, were found enriched in detergent-resistant membranes. Here, we analyzed the potential contribution of N-and/ or O-glycans in this mechanism. Structural studies were carried out on the brush border membrane-enriched fraction using matrix-assisted laser desorption/ionization time-of-flight mass spectrometry (MALDI-TOF-MS) and nano-ESI-QTOF-MS/MS. The pattern of N-glycans was very heterogeneous, with the presence of high mannose- and hybrid-type glycans as well as a multitude of complex-type glycans. In contrast, the pattern of O-glycans was very simple with the presence of two major core type 1 O-glycans, sialylated and bisialylated T-antigen structures {[}Neu5Ac alpha 2-3Gal beta 1-3GalNAc-ol and Neu5Ac alpha 2-3Gal beta 1 -3(Neu5Ac alpha 2-6)GalNAc-ol]. Thus, N-glycans rather than O-glycans contain the N-acetyllactosamine recognition signals for the lipid raft-based galectin-4-dependent apical delivery. In the presence of 1-deoxymannojirimycin, a drug which inhibits the generation of hybrid-type or complex type N-glycans, the extensively O-glycosylated mucin-like MUC1 glycoprotein was not delivered to the apical brush border but accumulated inside the cells. Altogether, our data demonstrate the crucial role of complex N-glycans in the galectin-4-dependent delivery of glycoproteins to the apical brush border membrane of enterocytic HT-29 cells

Scaling Behavior of Ricci Curvature at Short Distance near Two Dimensions

We study the renormalization of the Ricci curvature as an example of generally covariant operators in quantum gravity near two dimensions. We find that it scales with a definite scaling dimension at short distance. The Ricci curvature singularity at the big bang can be viewed as such a scaling phenomenon. The problem of the spacetime singularity may be resolved by the scale invariance of the spacetime at short distance.Comment: 9pages, LaTe