502 research outputs found
Collective Coordinates and the Absence of Yukawa Coupling in the Classical Skyrme Model
In systems with constraints, physical states must be annihilated by the
constraints. We make use of this rule to construct physical asymptotic states
in the Skyrme model. The standard derivation of the Born terms with asymptotic
physical states shows that there is no Yukawa coupling for the Skyrmion. We
propose a remedy tested in other solitonic models: A Wilsonian action obtained
after integrating the energetic mesons and where the Skyrmion is a quantum
state should have a Yukawa coupling.Comment: LATE
Quantum Solitons Lead to Yukawa Coupling
Recently, it was shown that zero modes in semiclassical soliton models do not
lead to Yukawa couplings. We show that taking into account the contributions of
the quantum soliton into the renormalization scheme, which cannot be done in
semiclassical treatments, leads to a Yukawa coupling. A similar analysis should
be possible for the Skyrmion, renewing the hope, that this model will lead to a
correct description of hadron physics.Comment: LATEX, Submitted to Phys. Lett.
Can Plane Wave Modes be Physical Modes in Soliton Models?
I show that plane waves may not be used as asymptotic states in soliton
models because they describe unphysical states. When asymptotic states are
taken to be physical there is no T-matrix of \cO(1).Comment: Latex. Published in Phys. Lett.
Charged Open Membrane Solutions On A Manifold With Boundary
Explicit open single and multi-membrane solutions of the low energy limit of
M-theory on the orbifold are presented. This low energy
action is described by an 11-dimensional supergravity action coupled to two
super Yang-Mills fields, which propagate only on the 10-dimensional
boundaries of the target space. The membrane solutions we construct preserve
half the supersymmetries. They carry electric charge and current with respect
to the gauge fields, whose generators are in the Cartan subalgebra of the two
gauge groups present at the boundaries.Comment: 14 pages, Late
The SO(32) Heterotic and Type IIB Membranes
A two dimensional anomaly cancellation argument is used to construct the
SO(32) heterotic and type IIB membranes. By imposing different boundary
conditions at the two boundaries of a membrane, we shift all of the two
dimensional anomaly to one of the boundaries. The topology of these membranes
is that of a 2-dimensional cone propagating in the 11-dimensional target space.
Dimensional reduction of these membranes yields the SO(32) heterotic and type
IIB strings.Comment: 12 pages, Late
Brownian Motion of Solitons in the Model
We derive an expression for the correlation function of the random force on a
soliton which is consistent with the constraints needed to integrate out the
zero modes which appear due to the broken translational symmetry of the soliton
solution. It is shown that when the constraint does not commute with the
operator which defines the correlation function, i.e. when the operator is not
physical, only low frequency phonons contributions may be considered. On the
contrary, when the correlation function of the random force on the soliton is
constructed with physical operators one may also include in a correct manner
the contributions from the optical phonons.Comment: latex, 1 eps figure at end of fil
The Standard Model Coupled to Quantum Gravitodynamics
We show that the renormalizable SO(4) X U (1) X SU (2) X SU (3) Yang Mills
coupled to matter and the Higgs field fits all the experimentally observed
differential cross sections known in nature. This extended Standard Model
reproduces the experimental gravitational differential cross sections without
resorting to the graviton field and instead by exchanging SO(4) gauge fields.
By construction, each SO(4) generator in quantum gravitodynamics does not
commute with the Dirac gamma matrices. This produces additional interactions
absent to non-Abelian gauge fields in the Standard Model. The contributions
from these new terms yield differential cross sections consistent with the
Newtonian and post Newtonian interactions derived from General Relativity.
Dimensional analysis of the Lagrangian shows that all its terms have total
dimensionality four or less and therefore that all physical quantities in the
theory renormalize by finite amounts. These properties make QGD the only
renormalizable 4-dimensional theory describing gravitational interactions.Comment: Accepted for publication in the European Physical Journal C. Note of
Acceptance ID EPJC-16-03-073.R
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