Brane Induced Gravity from its Dynamical Origin

We develop a quantum theoretical formalism to derive the brane gravity from its origin -- brane-generating dynamics in higher dimensions. Based on it, we discuss characteristic properties of the brane induced gravity, as well as brane induced field theory

Formal Proof of an Exact Scale Invariance in the Nambu-Jona-Lasinio Model

We show that the renormalization group beta functions in the Nambu-Jona-Lasinio model identically vanish in all order due to the compositeness condition. Accordingly the effective coupling constants are entirely fixed and do not run with the renormalization scale.Comment: 10 page

Brane Induced Gravity in the Curved Bulk

Starting with the Nambu-Goto action of the braneworld embedded in a curved bulk, we derive the precise expressions for the quantum induced effects due to small fluctuations of the brane. To define the brane fluctuations invariantly, we introduce the Riemannian coordinate system for the subspace normal to the braneworld. It will turn out that we can systematically incorporate the effects of bulk curvature, and that the induced effects depend on the extrinsic curvature and the normal-connection gauge field as well as on bulk curvature components at the brane.Comment: 10 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1309.309

Dynamical Foundations of the Brane Induced Gravity

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to divergences, which should be cutoff at the scale of the inverse thickness of the brane. It turns out that the induced-metric formula is converted into an Einstein-like equation via the quantum effects. We determine the coefficients of the induced cosmological and gravity terms, as well as those of the terms including the extrinsic curvature and the normal connection gauge field. The latter is the characteristic of the brane induced gravity theory, distinguished from ordinary none-brane induced gravity.Comment: 10 pages, 1 figur

Unified Field Theory Induced on the Brane World

We show how the gravity, gauge, and matter fields are induced on dynamically localized brane world.Comment: 3 pages, talk given at the 30th International Conference on High Energy Physics (ICHEP 2000), July 27 - August 2, 2000, Osaka, Japan, to appear in the Proceeding

Induced Field Theory on the Brane World

We show how the gravity, gauge, and matter fields are induced on dynamically localized brane world (domain wall, vortex etc.). Solitonic solutions localized on a curved brane in certain field theories in higher dimensions are given in terms of gravity, gauge and extrinsic curvature fields of the brane. Then we deduce the effective field theory on the brane in terms of those fields and the quantum fluctuations of the solitonic solution. The gravity, gauge and the extrinsic curvature fields should obey the Gauss-Codazzi-Ricci equation in addition to their own equations of motion.Comment: 5 pages, Contributed paper for ICHEP2000 (XXXth International Conference on High Energy Physics July 27 - August 2, 2000, Osaka, Japan), references adde

Quark-gluon cluster -- a composite entity just due to color confinement

We incorporate confining effects into statistical formulation of quantum chromodynamics (QCD). It implies that quark-gluon clusters existed in the early universe, triggering the information accumulation in nature. The confinement-driven clustering would explain the reason why the quark-gluon plasma in the heavy-ion ollision experiments looks like liquid unlike the QCD expectation.Comment: 5 pages, 1 figur

Compositeness Condition in the Nambu-Jona-Lasinio Model

The Nambu-Jona-Lasinio model is the special case of the renormalized Yukawa model with the compositeness condition. We use it to calculate the effective coupling constants in terms of the compositeness sale (momentum cut off) at the next-to-leading order in 1/N. The next-to-leading correction is too large in the model of scalar composite, while that in the induced gauge theory is reasonably suppressed due to the gauge cancellation of the leading divergences.Comment: 7 pages, revte

Compositeness Condition

By solving the compositeness condition, under which the Yukawa-type model coincides the NJL type model, we obtain the expressions for the effective coupling constants in terms of the compositeness scale at the next-to-leading order in 1/N. In the NJL model with a scalar composite, the next to leading contributions are too large for N_c=3. In the induced gauge theory with abelian gauge symmetry, the correction term is reasonably suppressed, while in the non-abelian gauge theory the corrections are suppressed only when it is asymptotically non-free.Comment: 6 pages, revtex, Talk given at Shizuoka Workshop on Masses and Mixing of Quarks and Leptons, Shizuoka, Japan, March 1997. To be published in Proceeding

General Solution for the Static, Spherical and Asymptotically Flat Braneworld

The general solution for the static, spherical and asymptotically flat braneworld is derived by solving the bulk Einstein equation and braneworld dynamics. We show that it involves a large arbitrariness, which reduces the predictability of the theory. Ways out of the difficulty are discussed.Comment: 5 pages, no figure, submitted to the Japanese Physical Society 2011 Annual Meeting which was canceled due to the earthquake in Tohoku district in March, with errors corrected, and with the sign convention of the curvature tensor change