Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userThe homogeneous 5D projection and realization of quark and hadron masses
82
0
0.0
(
0
)
Ask ChatGPT about the research
No Arabic abstract
In this work the homogeneous 5D space-time metric is introduced. Projection operators that map the 5D space-time manifold into a 4D Lorentzian space-time are explicitly given in matrix form. It is emphasized that the concept of proper time is the criterion for the projection. A homogeneous 5D energy-momentum manifold produces naturally the uncertainty principle, and from which we obtained the 5D metric operator, together with the 5D vector and mass-less spinor fields. A naturally coupled product of these two fields is also a solution of the 5D metric operator. Thus the coupling constant is identified as the unit charge. The charged mass-less spinor is coined as the e-trino. Hence the vector field generated by such e-trinos is derived, such that in the 4x1 Hilbert space this vector potential can be identified as the Maxwell monopole potential. Through gauge invariance the concept of charge per unit mass is introduced, which then leads to the mapping of the 5D energy-momentum into that of SU(2)xL and SU(3)xL via the time-shift projection P0 and the conformal space projection P1, respectively. The P1 projection gives us the fractional charged quarks. These quark currents generate both the meson and baryon gluon fields, which in turn generate the meson and baryon masses given in the Eight-Fold-Way representations, removing the necessity of introducing a Higgs vacuum.
rate research
Read More
We show that the Cabbibo-Kobayashi-Maskawa interaction matrix may be constructed with the quark masses.
We present details of simulations for the light hadron spectrum in quenched QCD carried out on the CP-PACS parallel computer. Simulations are made with the Wilson quark action and the plaquette gauge action on 32^3x56 - 64^3x112 lattices at four lattice spacings (a approx 0.1-0.05 fm) and the spatial extent of 3 fm. Hadronic observables are calculated at five quark masses (m_{PS}/m_V approx 0.75 - 0.4), assuming the u and d quarks being degenerate but treating the s quark separately. We find that the presence of quenched chiral singularities is supported from an analysis of the pseudoscalar meson data. We take m_pi, m_rho and m_K (or m_phi) as input. After chiral and continuum extrapolations, the agreement of the calculated mass spectrum with experiment is at a 10% level. In comparison with the statistical accuracy of 1-3% and systematic errors of at most 1.7% we have achieved, this demonstrates a failure of the quenched approximation for the hadron spectrum: the meson hyperfine splitting is too small, and the octet masses and the decuplet mass splittings are both smaller than experiment. Light quark masses are calculated using two definitions: the conventional one and the one based on the axial-vector Ward identity. The two results converge toward the continuum limit, yielding m_{ud}=4.29(14)^{+0.51}_{-0.79} MeV. The s quark mass depends on the strange hadron mass chosen for input: m_s = 113.8(2.3)^{+5.8}_{-2.9} MeV from m_K and m_s = 142.3(5.8)^{+22.0}_{-0} MeV from m_phi, indicating again a failure of the quenched approximation. We obtain Lambda_{bar{MS}}^{(0)}= 219.5(5.4) MeV. An O(10%) deviation from experiment is observed in the pseudoscalar meson decay constants.
We consider a five-dimensional Minimal Supersymmetric Standard Model compactified on a S1/Z2 orbifold, and study the evolution of neutrino masses, mixing angles and phases for different values of tan beta and different radii of compactification. We consider the usual four dimensional Minimal Supersymmetric Standard Model limit plus two extra-dimensional scenarios: where all matter superfields can propagate in the bulk, and where they are constrained to the brane. We discuss in both cases the evolution of the mass spectrum, the implications for the mixing angles and the phases. We find that a large variation for the Dirac phase is possible, which makes models predicting maximal leptonic CP violation especially appealing.
The goal of this study is to investigate the scaling behaviour of our 2 HEX action. For this purpose, we compute the $N_f=3$ spectrum and compare the results to our 6 EXP action. We find a large scaling window up to $sim 0.15,mathrm{fm}$ along with small scaling corrections at the 2%-level and full compatibility with our previous study. As a second important observable to be tested for scaling, we chose the non-perturbatively renormalized quenched strange quark mass. Here we find a fairly flat scaling with a broad scaling range up to $simeq 0.15,mathrm{fm}$ and perfect agreement with the literature.
CP-PACS and JLQCD collaborations are carrying out a joint project of the 2+1 flavor full QCD simulation. Gauge configurations are generated for the non-perturbatively $O(a)$-improved Wilson quark action and the Iwasaki gauge action using PHMC algorithm at three lattice spacings, $asim 0.076$, 0.010 and 0.122 fm, with a fixed physical volume $(2.0 fm)^3$. We present analysis for the light meson spectrum and quark masses in the continuum limit, which are determined using data obtained from the simulations at the two coarser lattices. Our simulations reproduce experimental values of meson masses. The ud and strange quark masses turn out to be $m_{ud}^{bar{MS}}(mu=2 GeV)=3.34(23) MeV$ and $m_s^{bar{MS}}(mu=2 GeV)=86.7(5.9) MeV$. We also show preliminary results at our finest lattice spacing for which simulations are still being continued.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
