A graphical representation of supersymmetry is presented. It clearly expresses the chiral flow appearing in SUSY quantities, by representing spinors by directed lines (arrows). The chiral suffixesâ€¦ (More)

The Kaluza-Klein theory and Randall-Sundrum theory are examined comparatively, with focus on the behavior of the five dimensional (Dirac) fermion in the dimensional reduction to four dimensions. Theyâ€¦ (More)

Abstract We present a new regularization method, for d dim (Euclidean) quantum field theories in the continuum formalism, based on the domain wall configuration in (1+d) dim space-time. It isâ€¦ (More)

Properties of the domain wall (kink) solution in the 5 dimensional RandallSundrum model are examined both analytically and numerically. The configuration is derived by the bulk Higgs mechanism. Weâ€¦ (More)

We introduce a graphical representation for a global SO(n) tensor âˆ‚Î¼âˆ‚Î½hÎ±Î² , which generally appears in the perturbative approach of gravity around the flat space: gÎ¼Î½ = Î´Î¼Î½ + hÎ¼Î½ . We systematicallyâ€¦ (More)

We present a grapical way to describe invariants and covariants in the (4 dim) general relativity. This makes us free from the complexity of suffixes . Two new off-shell relations between (mass)âˆ—âˆ—6â€¦ (More)

Weyl Anomaly in the dilaton-scalar system in 2 dimensional gravity is examined. Discrepancy in recent results by some authors is clarified. We take the heat-kernel regularization for the ultravioletâ€¦ (More)

A solution with the pole configuration in six dimensions is analysed both analytically and numerically. It is a dimensional reduction model of RadallSundrum type. The soliton configuration is inducedâ€¦ (More)

Abstract The conformal anomaly for 4D gravity-matter theories, which are non-minimally coupled with the dilaton, is systematically studied. Special care is taken for: rescaling of fields, treatmentâ€¦ (More)

This paper treats some basic points in general relativity and in its perturbative analysis. Firstly a systematic classification of global SO(n) invariants, which appear in the weak-field expansion ofâ€¦ (More)