Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-10-09
Phys.Rev. D67 (2003) 034506
Physics
High Energy Physics
High Energy Physics - Lattice
33 pages. Note added and a new reference were added. Phys. Rev.D (in press)
Scientific paper
10.1103/PhysRevD.67.034506
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.
Fujikawa Kazuo
Suzuki Hiroshi
No associations
LandOfFree
Domain wall fermion and CP symmetry breaking does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Domain wall fermion and CP symmetry breaking, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Domain wall fermion and CP symmetry breaking will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-204639