Thu·Oct 10, 2002Thursday·October 10, 2002

1. 01*

   Domain wall fermion and CP symmetry breaking

   Kazuo Fujikawa (Dept. of Physics, Univ. of Tokyo)🇯🇵 · Hiroshi Suzuki (Dept. of Math. Sciences, Ibaraki University)🇯🇵

   We examine the CP properties of chiral gauge theory defined by a formulation of the domain wall fermion, where the light field variables $q$ and $\bar{q}$ together with Pauli-Villars fields $Q$ and $\bar{Q}$ are utilized. It is shown that this domain wall representation in the infinite flavor limit $N=\infty$ is valid only in the topologically trivial sector, and that the conflict among lattice chiral symmetry, strict locality and CP symmetry still persists for finite lattice spacing $a$. The CP transformation generally sends one representation of lattice chiral gauge theory into another representation of lattice chiral gauge theory, resulting in the inevitable change of propagators. A modified form of lattice CP transformation motivated by the domain wall fermion, which keeps the chiral action in terms of the Ginsparg-Wilson fermion invariant, is analyzed in detail; this provides an alternative way to understand the breaking of CP symmetry at least in the topologically trivial sector. We note that the conflict with CP symmetry could be regarded as a topological obstruction. We also discuss the issues related to the definition of Majorana fermions in connection with the supersymmetric Wess-Zumino model on the lattice.

   hep-lathep-thPRD(2003)·12 citations
2. 02*

   A fresh look on the flux tube in Abelian-projected SU(2) gluodynamics

   Y. Koma🇯🇵 · M. Koma🇯🇵 · T. Suzuki🇯🇵 · E.-M. Ilgenfritz🇯🇵 · M.I. Polikarpov🇷🇺

   We reconsider the properties of the $Q\bar{Q}$ flux tube within Abelian-projected SU(2) lattice gauge theory in terms of electric field and monopole current. In the maximal Abelian gauge we assess the influence of the Gribov copies on the apparent flux-tube profile. For the optimal gauge fixing we study the independence of the profile on the lattice spacing for $\beta =$ 2.3, 2.4, and 2.5115 on a $32^4$ lattice. We decompose the Abelian Wilson loop into monopole and photon parts and compare the electric and monopole profile emerging from different sources with the field strength and monopole current within the dual Ginzburg-Landau theory.

   hep-latNucl.Phys.B Proc.Suppl.(2003)·5 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.