14 research outputs found
A Note on Schwinger Mechanism and a Nonabelian Instability in a Nonabelian Plasma
We point out that there is a nonabelian instability for a nonabelian plasma
which does not allow both for a net nonzero color charge and the existence of
field configurations which are coherent over a volume whose size is
determined by the chemical potential. The basic process which leads to this
result is the Schwinger decay of chromoelectric fields, for the case where the
field arises from commutators of constant potentials, rather than as the curl
of spacetime dependent potentials. In terms of the fields, instability is
obtained when Tr(DF)^2 > 0.Comment: 14 pages, 6 figure
Energy States of Colored Particle in a Chromomagnetic Field
The unitary transformation, which diagonalizes squared Dirac equation in a
constant chromomagnetic field is found. Applying this transformation, we find
the eigenfunctions of diagonalized Hamiltonian, that describe the states with
definite value of energy and call them energy states. It is pointed out that,
the energy states are determined by the color interaction term of the particle
with the background chromofield and this term is responsible for the splitting
of the energy spectrum.
We construct supercharge operators for the diagonal Hamiltonian, that ensure
the superpartner property of the energy states.Comment: 25 pages, some calculation details have been removed, typos correcte
Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
The influence of a constant uniform external chromomagnetic field on the
formation of color superconductivity has been investigated. The consideration
was performed in the framework of a (2+1)-dimensional Nambu--Jona-Lasinio model
with two different four-fermionic structures responsible for condensates. In particular, it was shown that there exists a
critical value of the external chromomagnetic field such that at
a nonvanishing diquark condensate is dynamically created (the so-called
chromomagnetic catalysis effect of color superconductivity). Moreover, external
chromomagnetic fields may in some cases enhance the diquark condensate of color
superconductivity.Comment: 32 pages, 2 figures, revte