6,509 research outputs found
Correlation Functions in Two-Dimensional Dilaton Gravity
The Liouville approach is applied to the quantum treatment of the dilaton
gravity in two dimensions. The physical states are obtained from the BRST
cohomology and correlation functions are computed up to three-point functions.
For the case (i.e., without matter), the cosmological term operator is
found to have the discrete momentum that plays a special role in the
Liouville gravity. The correlation functions for arbitrary numbers of operators
are found in the case, and are nonvanishing only for specific
``chirality'' configurations.Comment: 14 pages, TIT/HEP-204, STUPP-92-13
Large-time Behavior of Solutions to the Inflow Problem of Full Compressible Navier-Stokes Equations
Large-time behavior of solutions to the inflow problem of full compressible
Navier-Stokes equations is investigated on the half line .
The wave structure which contains four waves: the transonic(or degenerate)
boundary layer solution, 1-rarefaction wave, viscous 2-contact wave and
3-rarefaction wave to the inflow problem is described and the asymptotic
stability of the superposition of the above four wave patterns to the inflow
problem of full compressible Navier-Stokes equations is proven under some
smallness conditions. The proof is given by the elementary energy analysis
based on the underlying wave structure. The main points in the proof are the
degeneracies of the transonic boundary layer solution and the wave interactions
in the superposition wave.Comment: 27 page
Right and Left Modules over the Frobenius Skew Polynomial Ring in the F-Finite Case
The main purposes of this paper are to establish and exploit the result that,
over a complete (Noetherian) local ring of prime characteristic for which
the Frobenius homomorphism is finite, the appropriate restrictions of the
Matlis-duality functor provide an equivalence between the category of left
modules over the Frobenius skew polynomial ring that are Artinian as
-modules and the category of right -modules that are Noetherian as
-modules.Comment: 16 pages, to appear in the Mathematical Proceedings of the Cambridge
Philosophical Society. This revised version includes two additionl references
and points out that some of the results have been obtained independently by
M. Blickle and G. Boeckl
Kondo effect in CeX (X=S, Se, Te) studied by electrical resistivity under high pressure
We have measured the electrical resistivity of cerium monochalcogenices, CeS,
CeSe, and CeTe, under high pressures up to 8 GPa. Pressure dependences of the
antiferromagnetic ordering temperature , crystal field splitting, and
the anomaly of the Kondo effect have been studied to cover the whole
region from the magnetic ordering regime at low pressure to the Fermi liquid
regime at high pressure. initially increases with increasing pressure,
and starts to decrease at high pressure as expected from the Doniach's diagram.
Simultaneously, the behavior in the resistivity is enhanced, indicating
the enhancement of the Kondo effect by pressure. It is also characteristic in
CeX that the crystal field splitting rapidly decreases at a common rate
of K/GPa. This leads to the increase in the degeneracy of the state
and further enhancement of the Kondo effect. It is shown that the pressure
dependent degeneracy of the state is a key factor to understand the
pressure dependence of , Kondo effect, magnetoresistance, and the peak
structure in the temperature dependence of resistivity.Comment: 9 pages, 5 figures, accepted for publication in J. Phys. Soc. Jp
Do a science experiment for future scientists
[EN] It has been realized that various chemical reactions are accelerated under irradiation of MW. Such Microwave chemistry is known as time-saving, clear and eco-friendly. MW ovens are world-wide domestic tools for cooking which can serve meals quickly. Regardless of its convenience, few understand the essential mechanism of MW ovens. For better understanding of MW chemistry, authors think it is necessary for to introduce elementary knowledge by holding a 1-day program of experiments by using microwave (MW) ovens.“Science with microwave oven”, 1-day program which we developed and named “Hirameki Tokimeki Science” was supported by Japan Society for the promotion of Science, has been performed over four years.More than 100 students of elementary and junior-high school have joined the program.Here we report the program, response from students.Program of experiments: “1: Dyeing handkerchief with onion peer (*1), 2: Cooking of pizza quickly yeast-leavened, 3: Preparation of shining slime with fluorescein dye synthesized in nonsolvent reaction. 4. Plasma in MW oven (*2), etc.”Students realized how MW accelerated chemical reactions and that dyeing under MW was faster and more fixed compared with the conventional methods. Besides, they could enjoy lunch with pizza and dealing with the slime, both they made. They had a good time with a bit of scientific knowledge. Through 1-day program, we can make science more familiar with students, and it will cause young students to become more interested in science, lead them to future research workers.In addition to the “Hirameki Tokimeki (Inspiration and Spark) Program, we have doneVolunteer activities at Ishinomaki, one of the most damaged cities at the Higashi Nihon Big Earthquake, in 2011.“Science with microwave oven” program surely gives students mysterious interest anddream for Science. That is “Inspire and Spark!” (*1) (*2)Kanematsu, Y.; Matsumura, T. (2019). Do a science experiment for future scientists. En AMPERE 2019. 17th International Conference on Microwave and High Frequency Heating. Editorial Universitat Politècnica de València. 334-339. https://doi.org/10.4995/AMPERE2019.2019.9895OCS33433
Deformation of Schild String
We attempt to construct new superstring actions with a -plet of Majorana
fermions , where is the dimensional space-time
index and is the two dimensional spinor index, by deforming the Schild
action. As a result, we propose three kinds of actions: the first is invariant
under N=1 (the world-sheet) supersymmetry transformation and the
area-preserving diffeomorphism. The second contains the Yukawa type
interaction. The last possesses some non-locality because of bilinear terms of
. The reasons why completing a Schild type superstring action
with is difficult are finally discussed.Comment: 12 pages, Latex, both title and abstract are changed, discussion of
some relations among our results, Nambu-Goto string and super Yang-Mills
theories, added. Results unchange
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