176 research outputs found
Quantization of chiral antisymmetric tensor fields
Chiral antisymmetric tensor fields can have chiral couplings to quarks and
leptons. Their kinetic terms do not mix different representations of the
Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral
couplings to the fermions are asymptotically free, opening interesting
perspectives for a possible solution to the gauge hierarchy problem. We argue
that the interacting theory for such fields can be consistently quantized, in
contrast to the free theory which is plagued by unstable solutions. We suggest
that at the scale where the chiral couplings grow large the electroweak
symmetry is spontaneously broken and a mass term for the chiral tensors is
generated non-perturbatively. Massive chiral tensors correspond to massive spin
one particles that do not have problems of stability. We also propose an
equivalent formulation in terms of gauge fields.Comment: additional material, concentrating on interactions with chiral
fermions, 38 pages, 1 figur
Non-BPS Brane Dynamics And Dual Tensor Gauge Theory
The action for the long wavelength oscillations of a non-BPS p=3 brane
embedded in N=1, D=5 superspace is determined by means of the coset method. The
D=4 world volume Nambu-Goldstone boson of broken translation invariance and the
two D=4 world volume Weyl spinor Goldstinos of the completely broken
supersymmetry describe the excitations of the brane into the broken space and
superspace directions. The resulting action is an invariant synthesis of the
Akulov-Volkov and Nambu-Goto actions. The D=4 antisymmetric tensor gauge theory
action dual to the p=3 brane action is determined.Comment: 15 pages, no figure
Spin-1 duality in -dimensions
It is known that the Maxwell theory in dimensions can be written in a
first order form (in derivatives) by introducing a totally antisymmetric field
which leads to a -form dual theory. Remarkably, one can replace the
antisymmetric field by a symmetric rank two tensor ().
Such master action establishes the duality between the Maxwell-theory and a
fourth order higher rank model in a -dimensional flat space time. A naive
generalization to the curved space shows a connection between the recently
found D=4 critical gravity and the Maxwell theory plus a coupling term to the
Ricci tensor (). The mass of the spin-1 particle
which appears in the D=4 critical gravity linearized around anti-de Sitter
space is the same one obtained from the Ricci coupling term. We also work out,
in flat space time, the explicitly massive case (Maxwell-Proca) which is dual
to a second order theory for .Comment: 15 pages, no figures, typos fixed (eqs (46) and (55)), absence of
spin-2 modes pointed ou
The 2(2S+1)- Formalism and Its Connection with Other Descriptions
In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles,
the dynamical invariants have been derived from the Lagrangian density which is
considered to be a 4- vector. A la Majorana interpretation of the 6- component
"spinors", the field operators of S=1 particles, as the left- and
right-circularly polarized radiation, leads us to the conserved quantities
which are analogous to those obtained by Lipkin and Sudbery. The scalar
Lagrangian of the Joos-Weinberg theory is shown to be equivalent to the
Lagrangian of a free massless field, introduced by Hayashi. As a consequence of
a new "gauge" invariance this skew-symmetric field describes physical particles
with the longitudinal components only. The interaction of the spinor field with
the Weinberg's 2(2S+1)- component massless field is considered. New
interpretation of the Weinberg field function is proposed. KEYWORDS: quantum
electrodynamics, Lorentz group representation, high-spin particles, bivector,
electromagnetic field potential. PACS: 03.50.De, 11.10.Ef, 11.10.Qr, 11.17+y,
11.30.CpComment: 13pp., merged hep-th/9305141 and hep-th/9306108 with revisions.
Accepted in "Int. J. Geom. Meth. Phys.
Asymptotically free four-fermion interactions and electroweak symmetry breaking
We investigate the fermions of the standard model without a Higgs scalar.
Instead, we consider a non-local four-quark interaction in the tensor channel
which is characterized by a single dimensionless coupling . Quantization
leads to a consistent perturbative expansion for small . The running of
is asymptotically free and therefore induces a non-perturbative scale
, in analogy to the strong interactions. We argue that
spontaneous electroweak symmetry breaking is triggered at a scale where
grows large and find the top quark mass of the order of . We also
present a first estimate of the effective Yukawa coupling of a composite Higgs
scalar to the top quark, as well as the associated mass ratio between the top
quark and the W boson.Comment: 24 page
A note on the (anti-)BRST invariant Lagrangian densities for the free abelian 2-form gauge theory
We show that the previously known off-shell nilpotent (s_{(a)b}^2 = 0) and
absolutely anticommuting (s_b s_{ab} + s_{ab} s_b = 0)
Becchi-Rouet-Stora-Tyutin (BRST) transformations (s_b) and anti-BRST
transformations (s_{ab}) are the symmetry transformations of the appropriate
Lagrangian densities of a four (3 + 1)-dimensional (4D) free Abelian 2-form
gauge theory which do not explicitly incorporate a very specific constrained
field condition through a Lagrange multiplier 4D vector field. The above
condition, which is the analogue of the Curci-Ferrari restriction of the
non-Abelian 1-form gauge theory, emerges from the Euler-Lagrange equations of
motion of our present theory and ensures the absolute anticommutativity of the
transformations s_{(a)b}. Thus, the coupled Lagrangian densities, proposed in
our present investigation, are aesthetically more appealing and more
economical.Comment: LaTeX file, 12 pages, one wrong reference deleted, correct reference
adde
Kalb-Ramond fields in the Petiau-Duffin-Kemmer formalism and scale invariance
Kalb-Ramond equations for massive and massless particles are considered in
the framework of the Petiau-Duffin-Kemmer formalism. We obtain
matrices of the relativistic wave equation of the first-order and solutions in
the form of density matrix. The canonical and Belinfante energy-momentum
tensors are found. We investigate the scale invariance and obtain the conserved
dilatation current. It was demonstrated that the conformal symmetry is broken
even for massless fields.Comment: 9 pages, no figure
A new fusion procedure for the Brauer algebra and evaluation homomorphisms
We give a new fusion procedure for the Brauer algebra by showing that all
primitive idempotents can be found by evaluating a rational function in several
variables which has the form of a product of R-matrix type factors. In
particular, this provides a new fusion procedure for the symmetric group
involving an arbitrary parameter. The R-matrices are solutions of the
Yang--Baxter equation associated with the classical Lie algebras g_N of types
B, C and D. Moreover, we construct an evaluation homomorphism from a reflection
equation algebra B(g_N) to U(g_N) and show that the fusion procedure provides
an equivalence between natural tensor representations of B(g_N) with the
corresponding evaluation modules.Comment: 31 page
Nonlinear realization of local symmetries of AdS space
Coset methods are used to construct the action describing the dynamics
associated with the spontaneous breaking of the local symmetries of AdS_{d+1}
space due to the embedding of an AdS_d brane. The resulting action is an
SO(2,d) invariant AdS form of the Einstein-Hilbert action, which in addition to
the AdS_d gravitational vielbein, also includes a massive vector field
localized on the brane. Its long wavelength dynamics is the same as a massive
Abelian vector field coupled to gravity in AdS_d space.Comment: 17 page
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