21 citations · 64 across the 7 of their papers we have counts for
7 papers
Vacuum Energies and Effective Potential in Light-Cone Field Theories
Shin-ichi Kojima, Norisuke Sakai, Tadakatsu Sakai
Vacuum energies are computed in light-cone field theories to obtain effective potentials which determine vacuum condensate. Quantization surfaces interpolating between the light-li…
Dilaton Gravity Coupled to a Nonlinear Sigma Model in Dimensions
S. Kojima, N. Sakai, Y. Tanii
Quantum theory of dilaton gravity coupled to a nonlinear sigma model with a maximally symmetric target space is studied in dimensions. The ultraviolet stable fixed point for…
Random Walk Construction of Spinor Fields on Three Dimensional Lattice
Masako Asano, Chigak Itoi, Shin-Ichi Kojima
Euclidean invariant Klein-Gordon, Dirac and massive Chern-Simons field theories are constructed in terms of a random walk with a spin factor on a three dimensional lattice. We exac…
Quantum Diffusion Process with a Complex Weight on Three Dimensional Lattice
Masako Asano, Chigak Itoi, Shin-Ichi Kojima
A rigorous definition of a path integral for a spinning particle in three dimensions is given on a regular cubic lattice. The critical diffusion constant and the associated critica…
Dilaton Gravity in Dimensions
S. Kojima, N. Sakai, Y. Tanii
Quantum theory of dilaton gravity is studied in dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilato…
Physical Scaling and Renormalization Group in Two-Dimensional Gravity
Y. Tanii, S. Kojima, N. Sakai
Quantum gravitational effects on the renormalization group equation are studied in the -dimensional approach. Divergences in a matter one-loop effective action do not receiv…