118721470
On the SO(10) instanton
A class of instantons in a four-dimensional Euclidean SO(10) model of grand unification is discussed. These solutions in the classical limit have nonzero Lagrangian density at only one single point. These instantons can generate baryon-number violation processes with rates which could be observable in the not too distant future.
117665288
Instantons in grand unification
SummaryA class of instantons in four-dimensional Euclidean grand unification is discussed. These solutions in the classical limit have nonzero Lagrangian density at only one single point. These instantons can generate proton decay processes, whose rate has an extremely feeble effect in theSU5 model. However, it can be observable in unification with technifermions that embedded instantons induce technifermions decay to ordinary fermion. We also consider the instantons in aSO10 model.RiassuntoSi discute una classe di instantoni nella grande unificazione euclidea a quattro dimensioni. Queste soluzioni nel limite classico hanno densità lagrangiana non nulla solo in un singolo punto. Questi istantoni possono generare processi di decadimento protonico, il cui valore ha un effetto molto debole nel modelloSU5. Tuttavia, si può osservare che, nella unificazione con i tecnifermioni, gli istantoni inclusi inducono decadimenti dei tecnifermioni a fermioni ordinari. Si considerano anche gli istantoni in un modelloSO10.РезюмеОбсуждается класс инстантонов в четырехмерном эвклидовом великом объединении. Эти решения в классическом пределе имеют ненулевую плотность Лагранжиана только в одной изолированной точке. Эти инстантоны могут генерировать процессы распада протона. Интенсивность этих процессов представляет чрезвычайно малый эффект в моделиSU5. Однако, этот процесс может быть наблюдаем при объединении с технифермионом, когда внедренный инстантон индуцирует распад технифермионов в обыкновенные фермионы. Мы также рассматриваем инстантоны в моделиSO10.
120212512
The mass matrix of neutral fermions and application in some SUSY E6-GUT
The fermion mass spectrum remains one of the outstanding problems of grand unification. The authors discuss the mass matrix of neutral fermions, which arises in three SUSY E6-breaking patterns by including the contributions of the five-dimensional superpotential terms. The solar neutrino puzzle is solved in the breakdown through SU3C*SU3L*SU3R. The model is shown to lead naturally to large oscillations of the doublet neutrino into a sterile fermion leading to the possibility of substantial depletion of the solar electron neutrino flux.
124837870
Neutral Fermion Masses in an E6 Model with Three Families and the Solar Neutrino Problem
This paper provides a potential resolution of the solar-neutrino puzzle in the E6 model with three families by including the contribution of the 5-dimensional terms.
124596353
DOES THE RUBAKOV EFFECT EXIST IN AN SU(2) MODEL
In an spontaneously broken gauge theory with a Higgs triplet, the mass effect of an isospin 1/2 fermion on the fermion-monopole bound states is discussed. It is shown that when the direct coupling between fermion and Higgs field approaches zero, but the Dirac mass remains finiteness, the necessary condition of the fermion-monopole bound state cannot be satisfied. This result means that the Rubakov effect is absent for monopole because of the Dirac mass.
121766040
Supermembrane monopole vacua
Abstract The supermembrane classical solutions with non-trivial circle bundles, i.e. supermembrane monopole vacua, are derived. The hamiltonian of the fermion fluctuations about the monopole vacuum configuration is weakly hermitian, in contrast with the same problem in QED. The electrically charged and dyon analogues to the monopole vacua are also discussed.
118968482
Massive overlap fermions on anisotropic lattices
We formulate the massive overlap fermions on anisotropic lattices. We find that the dispersion relation for the overlap fermion resembles the continuum form in the low-momentum region once the bare parameters are properly tuned. The quark self-energy and the quark field renormalization constants are calculated to one-loop in bare lattice perturbation theory. Using tadpole improved perturbation theory, we establish the relation between the well-tuned parameters and the quark mass once the bare coupling is given. We argue that massive domain wall quarks might be helpful in lattice QCD studies on heavy-light hadron spectroscopy.
145047134
Finslerian MOND vs . observations of Bullet Cluster 1 E 0657-558
It is known that theory of MOND with spherical symmetry cannot account for the convergence κ-map of Bullet Cluster 1E0657-558. In this paper, we try to set up a Finslerian MOND, a generalization of MOND in Finsler spacetime. We use Ric = 0 to obtain the gravitational vacuum field equation in a four-dimensional Finsler spacetime. To leading order in the post-Newtonian approximation, we obtain the explicit form of the Finslerian line element. It is simply the Schwarzschild’s metric except for the Finslerian rescaling coefficient f(v) of the radial coordinate r, i.e. R = f(v(r))r. By setting f(v(r)) = (1 − √ a0r/GM) , we obtain the famous MOND in a Finslerian framework. Taking a dipole and a quadrupole term into consideration, we give the convergence κ in gravitational lensing astrophysics in our model. Numerical analysis shows that our prediction is to a certain extent in agreement with the observations of Bullet Cluster 1E0657-558. With the theoretical temperature T taking the observed value 14.8 keV, the mass density profile of the main cluster obtained in our model is the same order as that given by the best-fit King β-model.
2179030
Weyl superfluidity in a three-dimensional dipolar Fermi gas.
Weyl superconductivity or superfluidity, a fascinating topological state of matter, features novel phenomena such as emergent Weyl fermionic excitations and anomalies. Here we report that an anisotropic Weyl superfluid state can arise as a low temperature stable phase in a 3D dipolar Fermi gas. A crucial ingredient of our model is a direction-dependent two-body effective attraction generated by a rotating external field. Experimental signatures are predicted for cold gases in radio-frequency spectroscopy. The finite temperature phase diagram of this system is studied and the transition temperature of the Weyl superfluidity is found to be within the experimental scope for atomic dipolar Fermi gases.
118391554
A matter dominated navigation Universe in accordance with the Type Ia supernova data
We investigate a matter dominated navigation cosmological model. The influence of a possible drift (wind) in the navigation cosmological model makes the spacetime geometry change from Riemannian to Finslerian. The evolution of the Finslerian Universe is governed by the same gravitational field equation with the familiar Friedmann-Robertson-Walker one. However, the change of space geometry from Riemannian to Finslerian supplies us a new relation between the luminosity distant and redshift. It is shown that the Hubble diagram based on this new relation could account for the observations on distant Type Ia supernovae.
118432739
An inflationary scenario taking into account of possible dark energy effects in the early universe
We investigate the possible effect of cosmological-constant type dark energy during the inflation period of the early universe. This is accommodated by a new dispersion relation in de Sitter space. The modified inflation model of a minimally coupled scalar field is still able to yield an observation-compatible scale-invariant primordial spectrum, simultaneously having the potential to generate a spectrum with lower power at large scales. A qualitative match to the WMAP 7-year data is presented. We obtain an ΩΛ of the same order of that in the Λ-CDM model. Possible relations between the de Sitter scenario and Doubly Special Relativity (DSR) are also discussed.