100 research outputs found
Scaling Behaviors of Branched Polymers
We study the thermodynamic behavior of branched polymers. We first study
random walks in order to clarify the thermodynamic relation between the
canonical ensemble and the grand canonical ensemble. We then show that
correlation functions for branched polymers are given by those for
theory with a single mass insertion, not those for the theory
themselves. In particular, the two-point function behaves as , not as
, in the scaling region. This behavior is consistent with the fact that
the Hausdorff dimension of the branched polymer is four.Comment: 17 pages, 3 figure
Are the Epiphytic Animal Communities in the Sargassum Forests off the Pacific Coast of Miyagi Recovering from the Alteration Caused by the 2011 Tsunami?
Oral Presentation
Higher Order Terms of Improved Mean Field Approximation for IIB Matrix Model and Emergence of Four-dimensional Space-time
The spontaneous breakdown of SO(10) symmetry of the IIB matrix model has been
studied by using the improved mean field approximation (IMFA). In this report,
the eighth-order contribution to the improved perturbative series is obtained,
which involves evaluation of 20410 planar two-particle irreducible vacuum
diagrams. We consider SO(d)-preserving configurations as ansatz (d=4,7). The
development of plateau, the solution of self-consistency condition, is seen in
both ansatz. The large ratio of the space-time extent of d-dimensional part
against the remaining (10-d)-dimensional part is obtained for SO(4) ansatz
evaluated at the representative points of the plateau. It would be interpreted
as the emergence of four-dimensional space-time in the IIB matrix model.Comment: 13 page
二分亀頭を伴った陰茎海綿体異物の1例
We had an opportunity to treat a rare case of foreign body in the corpus cavernosum in a patient with cleft glans penis. The foreign body was a 13 cm wire, which was inserted by the patient himself for masturbation, and was removed surgically. To our knowledge, such a case has never been reported in the literature
Supermatrix Models
We investigate several matrix models based on super Lie algebras,
osp(1|32,R), u(1|16,16) and gl(1|32,R). They are natural generalizations of IIB
matrix model and were first proposed by Smolin. In particular, we study the
supersymmetry structures of these models and discuss possible reductions to IIB
matrix model. We also point out that diffeomorphism invariance is hidden in
gauge theories on noncommutative space which are derived from matrix models.
This symmetry is independent of the global SO(9,1) invariance in IIB matrix
model and we report our trial to extend the global Lorentz invariance to local
symmetry by introducing u(1|16,16) or gl(1|32,R) super Lie algebras.Comment: 34 pages, 3 figure
Noncommutative Yang-Mills in IIB Matrix Model
We show that twisted reduced models can be interpreted as noncommutative
Yang-Mills theory. Based upon this correspondence, we obtain noncommutative
Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that
IIB matrix model with D-brane backgrounds serve as a concrete definition of
noncommutative Yang-Mills. We investigate D-instanton solutions as local
excitations on D3-branes. When instantons overlap, their interaction can be
well described in gauge theory and AdS/CFT correspondence. We show that IIB
matrix model gives us the consistent potential with IIB supergravity when they
are well separated.Comment: 21pages, LaTeX, no figures, typos correcte
Bi-local Fields in Noncommutative Field Theory
We propose a bi-local representation in noncommutative field theory. It
provides a simple description for high momentum degrees of freedom. It also
shows that the low momentum modes can be well approximated by ordinary local
fields. Long range interactions are generated in the effective action for the
lower momentum modes after integrating out the high momentum bi-local fields.
The low momentum modes can be represented by diagonal blocks in the matrix
model picture and the high momentum bi-local fields correspond to off-diagonal
blocks. This block-block interaction picture simply reproduces the infrared
singular behaviors of nonplanar diagrams in noncommutative field theory.Comment: 27 pages, 2 figure
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