11,241 research outputs found
On the cancellation of 4-derivative terms in the Volkov-Akulov action
Recently Kuzenko and McCarty observed the cancellation of 4-derivative terms
in the Volkov-Akulov supersymmetric action for the fermionic
Nambu-Goldstone field. Here is presented a simple algebraic proof of the
cancellation based on using the Majorana bispinors and Fiertz identities. The
cancellation shows a difference between the Volkov-Akulov action and the
effective superfield action recently studied by Komargodski and Seiberg and
containing one 4-derivative term. We find out that the cancellation effect
takes place in coupling of the Nambu-Goldstone fermion with the Dirac field.
Equivalence between the KS and the VA Lagrangians is proved up to the first
order in the interaction constant of the NG fermions.Comment: 18 pages; the version accepted for publication in Phys. Rev. D; new
section regarding the proof of the equivalence between the
Komargodski-Seiberg and the Volkov-Akulov actions is added: some comments and
new references are include
The decays and in the NJL model
The widths of the decays and
are calculated in the framework of the NJL
model. It is shown that these decays are defined by the and quark mass
difference. It leads to the suppression of these decays in comparison with the
main decay modes. In the process the intermediate
scalar state is taken into account. For the decays the
intermediate states with , and mesons
are used. Our estimates are compared with the results obtained in other works.Comment: 6 pages, 5 figures, 1 tabl
Supergravity before and after 1976
This paper is part of the lecture given at the TH Division of CERN and
devoted to the CXXV anniversary of the birthday of Elie Cartan (1869-1951). It
is shown how the methods of differential geometry, due to E. Cartan, were
applied to the construction of the supersymmetry transformation law and to the
actions for Goldstone fermions and supergravity.Comment: 8 pages, latex, CERN-TH.7226/9
Phenomenology of Goldstino Couplings
A general coupling of the Goldstino to the matter field and the weak
gravitational field is constructed based on the standard and the nonlinear
Volkov-Akulov realization of SUSY. The resulting Lagrangian, which is invariant
under SUSY transformations, can give rise to explicit interactions which couple
the helicity +-1/2 states of the gravitino with the gravitational field as well
as the matter field.Comment: 7 pages; final version to appear in Modern Physics Letters
Gauging Nonlinear Supersymmetry
Coset methods are used to construct the action describing the dynamics
associated with the spontaneous breaking of the local supersymmetries. The
resulting action is an invariant form of the Einstein-Hilbert action, which in
addition to the gravitational vierbein, also includes a massive gravitino
field. Invariant interactions with matter and gauge fields are also
constructed. The effective Lagrangian describing processes involving the
emission or absorption of a single light gravitino is analyzed.Comment: 20 pages, no figure
decay in the extended NJL model
The width of the decay was calculated
in the extended NJL model. Contact interaction of boson with pion pair as
well as the contribution of the mesons in ground and first radial-exited
states are taken into account. The sum of the contact diagram and diagram with
intermediate meson in the ground state leads to the result which
coincides with the result of the vector-dominance model. Our results are in
satisfactory agreement with experimental data.Comment: 5 pages, 3 figures, 1 tabl
The processes in the extended NJL model
The process is described in the framework of
the extended NJL model. Intermediate vector mesons ,
and \rho'(1450)e^{+}e^{-}
\to \pi\pi'(1300)\rho'(1450)$ meson.Comment: 7 pages, 5 figure
Even and odd symplectic and K\"ahlerian structures on projective superspaces
Supergeneralization of \DC P(N) provided by even and odd K\"ahlerian
structures from Hamiltonian reduction are construct.Operator which
used in Batalin-- Vilkovisky quantization formalism and mechanics which are
bi-Hamiltonian under corresponding even and odd Poisson brackets are
considered.Comment: 19 page
The Tomonaga-Luttinger Model and the Chern-Simons Theory for the Edges of Multi-layer Fractional Quantum Hall Systems
Wen's chiral Tomonaga-Luttinger model for the edge of an m-layer quantum Hall
system of total filling factor nu=m/(pm +- 1) with even p, is derived as a
random-phase approximation of the Chern-Simons theory for these states. The
theory allows for a description of edges both in and out of equilibrium,
including their collective excitation spectrum and the tunneling exponent into
the edge. While the tunneling exponent is insensitive to the details of a
nu=m/(pm + 1) edge, it tends to decrease when a nu=m/(pm - 1) edge is taken out
of equilibrium. The applicability of the theory to fractional quantum Hall
states in a single layer is discussed.Comment: 15 page
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