19,562 research outputs found
General Form of Color Charge of the Quark
In Maxwell theory the constant electric charge e of the electron is
consistent with the continuity equation where
is the current density of the electron where the repeated indices
are summed. However, in Yang-Mills theory the Yang-Mills color
current density of the quark satisfies the equation
which is not a continuity equation () which implies that the color charge of the quark is not
constant where a=1,2,...,8 are the color indices. Since the charge of a point
particle is obtained from the zero () component of a corresponding
current density by integrating over the entire (physically) allowed volume, the
color charge of the quark in Yang-Mills theory is time dependent. In
this paper we derive the general form of eight time dependent fundamental color
charges of the quark in Yang-Mills theory in SU(3) where a=1,2,...,8.Comment: 52 pages latex, final version, accepted for publication in Eur. Phys.
J. C. arXiv admin note: substantial text overlap with arXiv:1201.266
Gravitational Leptogenesis and Neutrino Mass Limit
Recently Davoudiasl {\it et al} \cite{steinhardt} have introduced a new type
of interaction between the Ricci scalar and the baryon current ,
and proposed a mechanism for baryogenesis, the
gravitational baryogenesis. Generally, however, vanishes in
the radiation dominated era. In this paper we consider a generalized form of
their interaction, and study again the possibility
of gravitational baryo(lepto)genesis. Taking , we will show
that does not vanish and the
required baryon number asymmetry can be {\it naturally} generated in the early
universe.Comment: 4 page
General Form of the Color Potential Produced by Color Charges of the Quark
Constant electric charge satisfies the continuity equation where is the current density of the electron.
However, the Yang-Mills color current density of the quark
satisfies the equation which is not a continuity
equation () which implies that a color charge
of the quark is not constant but it is time dependent where
are color indices. In this paper we derive general form of color
potential produced by color charges of the quark. We find that the general form
of the color potential produced by the color charges of the quark at rest is
given by \Phi^a(x) =A_0^a(t,{\bf x}) =\frac{q^b(t-\frac{r}{c})}{r}\[\frac{{\rm
exp}[g\int dr \frac{Q(t-\frac{r}{c})}{r}] -1}{g \int dr
\frac{Q(t-\frac{r}{c})}{r}}\]_{ab} where integration is an indefinite
integration, ~~ , ~~, ~~ is the retarded time, ~~ is the speed
of light, ~~ is the position of the quark at the retarded
time and the repeated color indices (=1,2,...8) are summed. For constant
color charge we reproduce the Coulomb-like potential
which is consistent with the Maxwell theory where
constant electric charge produces the Coulomb potential
.Comment: Final version, two more sections added, 45 pages latex, accepted for
publication in JHE
A Kerr Metric Solution in Tetrad Theory of Gravitation
Using an axial parallel vector field we obtain two exact solutions of a
vacuum gravitational field equations. One of the exact solutions gives the
Schwarzschild metric while the other gives the Kerr metric. The parallel vector
field of the Kerr solution have an axial symmetry. The exact solution of the
Kerr metric contains two constants of integration, one being the gravitational
mass of the source and the other constant is related to the angular
momentum of the rotating source, when the spin density of the
gravitational source satisfies . The singularity
of the Kerr solution is studied
Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons
A superfield formulation is presented of the central charge anomaly in
quantum corrections to solitons in two-dimensional theories with N=1
supersymmetry. Extensive use is made of the superfield supercurrent, that
places the supercurrent J^{mu}_{alpha}, energy-momentum tensor Theta^{mu nu}
and topological current zeta^{mu} in a supermultiplet, to study the structure
of supersymmetry and related superconformal symmetry in the presence of
solitons. It is shown that the supermultiplet structure of (J^{mu}_{alpha},
Theta^{mu nu}, zeta^{mu}) is kept exact while the topological current
zeta^{\mu} acquires a quantum modification through the superconformal anomaly.
In addition, the one-loop superfield effective action is explicitly constructed
to verify the BPS saturation of the soliton spectrum as well as the effect of
the anomaly.Comment: 9 pages, Revtex, one reference adde
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