85 research outputs found
Domain Wall Fermion Lattice Simulation in Quaternion Basis
In the QCD analysis, when quarks are expressed in quaternion basis, the quark
and its charge conjugate together are expressed by octonions and the octonion
posesses the triality symmetry. Gluos are expressed by Pl\"ucker coordinates of
spinors. Roles of triality in the proton charge form factor, three loop gluon
self energy, technicolor, fine tuning and unparticle physics are discussed.Comment: 3 pages, 6 figures, QCHS-09(Madrid, August 30-Sept 3, 2010)
proceeding
The Color Antisymmetric Ghost Propagator and One-Loop Vertex Renormalization
The color matrix elements of the ghost triangle diagram that appears in the
triple gluon vertex and the ghost-ghost-gluon triangle diagram that appears in
the ghost-gluon-ghost vertex are calculated. The ghost-ghost-gluon triangle
contains a loop consisting of two color diagonal ghosts and one gluon and a
loop consisting of two color antisymmetric ghosts and one gluon. Consequently,
the pQCD argument in the infrared region based on the one particle irreducible
diagram should be modified. Implications for the Kugo-Ojima color confinement
and the QCD running coupling are discussed.Comment: 16 pages, 20 figures, typos corrected, version to be published in
Prog. Theor. Phys. vol.119, No.
Triality selection rules of Octonion and Quantum Mechanics
We apply the Cartan's supersymmetric model to the electromagnetic and weak
interaction of leptons and hadrons, and study dynamics of
meson and Higgs boson. We adopt the Clifford algebra, express Pauli spinors by
quaternions, Dirac spinors by octonions, and take into account the
supersymmetric transformations and of Cartan.
When Higgs boson is assigned as Cartan's spinor pairs or
, its decay into does not occur,
but there appear 8 diagrams of and 8 diagrams of
.
If our world matter makes 4.6\% of the total matter, and we can interpret the
matter transformed by or about 5 times
of our matter, i.e. 23\% corresponds to dark matter.
We can assign the world transformed by and
, which make about 2/3 of the total corresponds to the dark energy.
Experimentally, 72\% of the total matter corresponds to dark energy.Comment: 28 pages, 52 figures, RIKEN workshop 4th Sept. 201
Chiral Symmetry and BRST Symmetry Breaking, Quaternion Reality and the Lattice Simulation
We discuss that the deviation of the Kugo-Ojima color confinement parameter
from -1 in the case of quenched lattice simulation and the consistency
with -1 in the case of full QCD simulation could be attributed to the boundary
condition defined by fermions inside the region of fm. By using the domain
wall fermion propagator in lattice simulation, we show that the chiral symmetry
breaking in the infrared can become manifest when one assumes that the
left-handed fermion on the left wall and the right-handed fermion on the right
wall are correlated by a self-dual gauge field. The relation between the
infrared fixed point of the running coupling measured in lattice simulations,
the prediction of the BLM renormalization theory, the conformal field theory
with use of the t'Hooft anomaly matching condition in non-SUSY supersymmetric
theory and the quaternion real condition are discussed.Comment: 3 pages 2 figures, submitted to the SCGT09 proceeding
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