Cyclic Universe \`{a} la string theory

We shall present a model of the "cyclic universe" that can be constructed only by assuming a minimal set of properties of string theory. We clarify our viewpoint of the cyclic universe and show some attempts to mateliarize the idea as field theoretical manner.Comment: Proceeding of International Workshop "Frontier of Quantum Physics" February 17(Thu.)-19(Sat.) 200

Renormalizability of Quantum Gravity near Two Dimensions

We study the renormalizability of quantum gravity near two dimensions. Our formalism starts with the tree action which is invariant under the volume preserving diffeomorphism. We identify the BRS invariance which originates from the full diffeomorphism invariance. We study the Ward-Takahashi identities to determine the general structure of the counter terms. We prove to all orders that the counter terms can be supplied by the coupling and the wave function renormalization of the tree action. The bare action can be constructed to be the Einstein action form which ensures the full diffeomorphism invariance.Comment: 26 pages, Latex file, No figure

Scaling Exponents in Quantum Gravity near Two Dimensions

We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The renormalization of the gravitational dressed operators is studied and their anomalous dimensions are computed. The exact scaling exponents of the 2 dimensional quantum gravity are reproduced in the strong coupling regime when we take $\epsilon\rightarrow0$ limit. The theory possesses the ultraviolet fixed point as long as the central charge $c<25$, which separates weak and strong coupling phases. The weak coupling phase may represent the same universality class with our Universe in the sense that it contains massless gravitons if we extrapolate $\epsilon$ up to 2.Comment: 24 pages and 1 figure, UT-614, TIT/HEP-191 and YITP/U-92-05 (figures added to the 1st version

A new mechanism of realizing inflationary universe with recourse to backreaction of quantized free fields -- Inflation without inflaton --

It is shown that the inflationary era in early universe is realized due to the effect of backreaction of quantized matter fields. In fact we start by quantizing a free scalar field in the Friedmann-Robertson-Walker space-time, and the field is fluctuating quantum mechanically around the bottom of the mass potential. We then obtain the vacuum expectation value of the energy density of the scalar field as a functional of the scale factor $a(t)$ of the universe. By plugging it into the Einstein equation, a self-consistent equation is established in which the matter fields determine the time evolution of the universe. We solve this equation by setting few conditions and find the following solution: the universe expands \`{a} la de Sitter with e-folding number $\gtrsim 60$ and then it turns to shrink with a decreasing Hubble parameter $H(t)$ which rapidly goes to zero.Comment: 25 pages, 5 figure

Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions

We study quantum gravity in $2+\epsilon$ dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the general covariance, the conformal invariance and the renormalization group flow to Einstein theory at long distance. We emphasize that the consistent and macroscopic universes like our own can only exist for matter central charge $0<c<25$. We show that the spacetime singularity at the big bang is resolved by the renormalization effect and universes are found to bounce back from the big crunch. Our formulation may be viewed as a Ginzburg-Landau theory which can describe both the broken and the unbroken phase of quantum gravity and the phase transition between them.Comment: 32 pages, TIT-HEP-256, KEK-TH-395, YITP/U-94-1

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

副睾丸アデノマトイド腫瘍--日本語文献の概観

アデノマトイド腫蕩は副睾丸腫瘍中最も多くみられるものである。坂口により第1例が発表されて以来44例が報告されている。われわれは比較的筋性成分を豊富に含む45例目を報告する。このような例はアデノマイド腫瘍のうち約3%の割でみられるといわれている。われわれはまた本邦において報告された全文献の概観をも報告する。ABSTRACT: Adenomatoid tumors are the most frequently encountered tumor of the epididymis, and forty-four cases have been reported in Japan since the first case was reported by Sakaguchi. We report the 45th case with relatively abundant leiomyomatous content, a characteristic said to be found in about 3 per cent of adenomatoid tumors. We also report the results of a review of all relevant literature published in this country

CMB Fluctuations and String Compactification Scales

We propose a mechanism for the generation of temperature fluctuations of cosmic microwave background. We consider a large number of fields, such as Kaluza-Klein modes and string excitations. Each field contributes to the gravitational potential by a small amount, but an observable level of temperature fluctuations is achieved by summing up the contribution of typically of order 10^{14} fields. Tensor fluctuations are hardly affected by these fields. Our mechanism is based on purely quantum effects, and is different from the "slow-roll" or "curvaton" scenario. Using the observed data, we find constraints on the parameters of this model, such as the size of the extra dimensions and the string scale. Our model predicts a particular pattern of non-gaussianity with a small magnitude.Comment: 4 pages, 2 figures; v2: Corrected a mistake in eq. (11), which does not affect the subsequent context. Added a comment on inflaton fluctuations at the end of the paper. Final version to appear in Phys. Lett.