7 papers · 1 filter
Theta Subgroup Structure of Maxwell theory in the Lattice Villain Hamiltonian Formulation
Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
We study the duality structure of lattice Maxwell theory with a theta term in the Hamiltonian Villain formulation. Reflecting the fact that odd-level Chern--Simons theory depends o…
Exact SL(2,Z)-Structure of Lattice Maxwell Theory with -term in Modified Villain Formulation
Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
We study the duality of lattice Maxwell theory in the modified Villain formulation, employing an ultra-local action with a theta term. Although this action is known to become non u…
Chiral Anomaly of Kogut-Susskind Fermion in the (3+1)-dimensional Hamiltonian formalism
Shoto Aoki, Yoshio Kikukawa, Toshinari Takemoto
We consider Kogut-Susskind fermions (also known as staggered fermions) in a -dimensional Hamiltonian formalism and examine a chiral transformation and its associated chiral…
Generalization of lattice Dirac operator index
Shoto Aoki, Hajime Fujita, Hidenori Fukaya +4
We provide a comprehensive lattice formulation of various types of the Dirac operator indices, employing -theory to classify the Wilson Dirac operator via its spectral flow. In…
Lattice Weyl Fermion on a Single Spherical Domain-Wall
Shoto Aoki, Hidenori Fukaya, Naoto Kan
We investigate a single spherical domain-wall embedded in a three-dimensional Euclidean lattice. We employ the Shamir-type domain-wall fermion formulation, where the negative mass…
invariant of massive Wilson Dirac operator and the index
Shoto Aoki, Hidenori Fukaya, Mikio Furuta +3
We revisit the lattice index theorem in the perspective of -theory. The standard definition given by the overlap Dirac operator equals to the invariant of the Wilson Dirac…