27 citations · 67 across the 9 of their papers we have counts for
9 papers
Dirac Operator Zero-modes on a Torus
Yasushi Tenjinbayashi, Hiroshi Igarashi, Takanori Fujiwara
We study Dirac operator zero-modes on a torus for gauge background with uniform field strengths. Under the basic translations of the torus coordinates the wave functions are subjec…
More about the axial anomaly on the lattice
Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki
We study the axial anomaly defined on a finite-size lattice by using a Dirac operator which obeys the Ginsparg-Wilson relation. When the gauge group is U(1), we show that the basic…
Errata and Addenda to ``Anomaly Cancellation Condition in Lattice Gauge Theory''
Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki
We correct some intermediate expressions and arguments in hep-lat/0002009 (Nucl. Phys. B 585 (2000) 471--513). The main results do not change. We also mention some additional obser…
Exact Operator Solution of -Toda Field Theory
T. Fujiwara, H. Igarashi, Y. Takimoto
Quantum -Toda field theory in two dimensions is investigated based on the method of quantizing canonical free field. Toda exponential operators associated with the fundamental…
On the Three-Point Couplings in Toda Field Theory
T. Fujiwara, H. Igarashi, Y. Takimoto
Correlation functions of Toda field vertices are investigated by applying the method of integrating zero-mode developed for Liouville theory. We generalize the relations among the…
Exact Operator Solution for Liouville Theory with A Root of Unity
T. Fujiwara, H. Igarashi, Y. Takimoto
The exact operator solution for quantum Liouville theory constructed for the generic quantum deformation parameter is extended to the case with being a root of unity. The s…
Quantum Exchange Algebra and Locality in Liouville Theory
T. Fujiwara, H. Igarashi, Y. Takimoto
Exact operator solution for quantum Liouville theory is investigated based on the canonical free field. Locality, the field equation and the canonical commutation relations are exa…
Remark on Pauli-Villars Lagrangian on the Lattice
Kazunobu Haga, Hiroshi Igarashi, Kiyoshi Okuyama +1
It is interesting to superimpose the Pauli-Villars regularization on the lattice regularization. We illustrate how this scheme works by evaluating the axial anomaly in a simple lat…
Super-Virasoro Anomaly, Super-Weyl Anomaly and the Super-Liouville Action for 2D Supergravity
Takanori Fujiwara, Hiroshi Igarashi, Tadao Suzuki
The relation between super-Virasoro anomaly and super-Weyl anomaly in NSR superstring coupled with 2D supergravity is investigated from canonical theoretical view point. The…