748 research outputs found
Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD
The order parameter of a finite system with a spontaneously broken continuous
global symmetry acts as a quantum mechanical rotor. Both antiferromagnets with
a spontaneously broken spin symmetry and massless QCD with a broken
chiral symmetry have rotor spectra when considered in
a finite volume. When an electron or hole is doped into an antiferromagnet or
when a nucleon is propagating through the QCD vacuum, a Berry phase arises from
a monopole field and the angular momentum of the rotor is quantized in
half-integer units.Comment: 4 page
Causal Propagation of a Charged Spin 3/2 Field in an External Electromagnetic Background
We present a Lagrangian for a massive, charged spin 3/2 field in a constant
external electromagnetic background, which correctly propagates only physical
degrees of freedom inside the light cone. The Velo-Zwanziger acausality and
other pathologies such as loss of hyperbolicity or the appearance of unphysical
degrees of freedom are avoided by a judicious choice of non-minimal couplings.
No additional fields or equations besides the spin 3/2 ones are needed to solve
the problem.Comment: 10 pages, references added. To appear in PR
On the Velo-Zwanziger phenomenon
The Rarita-Schwinger equation in a curved background and an external
electromagnetic field is discussed. We analyse the equation in the 2-component
spinor formalism and derive Buchdahl conditions for them. The result is that
the equation can consistently be imposed only on Einstein manifolds with
vanishing electromagnetic field
Extension of the Poincar\'e Group and Non-Abelian Tensor Gauge Fields
In the recently proposed generalization of the Yang-Mills theory the group of
gauge transformation gets essentially enlarged. This enlargement involves an
elegant mixture of the internal and space-time symmetries. The resulting group
is an extension of the Poincar\'e group with infinitely many generators which
carry internal and space-time indices. This is similar to the super-symmetric
extension of the Poincar\'e group, where instead of an anti-commuting spinor
variable one should introduce a new vector variable. The construction of
irreducible representations of the extended Poincar\'e algebra identifies a
vector variable with the derivative of the Pauli-Lubanski vector over its
length. As a result of this identification the generators of the gauge group
have nonzero components only in the plane transversal to the momentum and are
projecting out non-Abelian tensor gauge fields into the transversal plane,
keeping only their positively definite space-like components.Comment: 21 page
Ghosts, Strong Coupling and Accidental Symmetries in Massive Gravity
We show that the strong self-interaction of the scalar polarization of a
massive graviton can be understood in terms of the propagation of an extra
ghost-like degree of freedom, thus relating strong coupling to the sixth degree
of freedom discussed by Boulware and Deser in their Hamiltonian analysis of
massive gravity. This enables one to understand the Vainshtein recovery of
solutions of massless gravity as being due to the effect of the exchange of
this ghost which gets frozen at distances larger than the Vainshtein radius.
Inside this region, we can trust the two-field Lagrangian perturbatively, while
at larger distances one can use the higher derivative formulation. We also
compare massive gravity with other models, namely deconstructed theories of
gravity, as well as DGP model. In the latter case we argue that the Vainshtein
recovery process is of different nature, not involving a ghost degree of
freedom.Comment: 21 page
Electromagnetic Properties for Arbitrary Spin Particles: Part 2 Natural Moments and Transverse Charge Densities
In a set of two papers, we propose to study an old-standing problem, namely
the electromagnetic interaction for particles of arbitrary spin. Based on the
assumption that light-cone helicity at tree level and should be
conserved non-trivially by the electromagnetic interaction, we are able to
derive \emph{all} the natural electromagnetic moments for a pointlike particle
of \emph{any} spin. In this second paper, we give explicit expressions for the
light-cone helicity amplitudes in terms of covariant vertex functions, leading
to the natural electromagnetic moments at . As an application of our
results, we generalize the discussion of quark transverse charge densities to
particles with arbitrary spin.Comment: 12 pages, 1 tabl
Tensors Mesons in AdS/QCD
We explore tensor mesons in AdS/QCD focusing on f2 (1270), the lightest
spin-two resonance in QCD. We find that the f2 mass and the partial width for
f2 -> gamma gamma are in very good agreement with data. In fact, the
dimensionless ratio of these two quantities comes out within the current
experimental bound. The result for this ratio depends only on Nc and Nf, and
the quark and glueball content of the operator responsible for the f2; more
importantly, it does not depend on chiral symmetry breaking and so is both
independent of much of the arbitrariness of AdS/QCD and completely out of reach
of chiral perturbation theory. For comparison, we also explore f2 -> pi pi,
which because of its sensitivity to the UV corrections has much more
uncertainty. We also calculate the masses of the higher spin resonances on the
Regge trajectory of the f2, and find they compare favorably with experiment.Comment: 21 pages, 1 figure; Li's correcte
Infinite spin particles
We show that Wigner's infinite spin particle classically is described by a
reparametrization invariant higher order geometrical Lagrangian. The model
exhibit unconventional features like tachyonic behaviour and momenta
proportional to light-like accelerations. A simple higher order superversion
for half-odd integer particles is also derived. Interaction with external
vector fields and curved spacetimes are analyzed with negative results except
for (anti)de Sitter spacetimes. We quantize the free theories covariantly and
show that the resulting wave functions are fields containing arbitrary large
spins. Closely related infinite spin particle models are also analyzed.Comment: 43 pages, Late
Production of non-Abelian tensor gauge bosons. Tree amplitudes in generalized Yang-Mills theory and BCFW recursion relation
The BCFW recursion relation allows to calculate tree-level scattering
amplitudes in generalized Yang-Mills theory and, in particular, four-particle
amplitudes for the production rate of non-Abelian tensor gauge bosons of
arbitrary high spin in the fusion of two gluons. The consistency of the
calculations in different kinematical channels is fulfilled when all
dimensionless cubic coupling constants between vector bosons (gluons) and high
spin non-Abelian tensor gauge bosons are equal to the Yang-Mills coupling
constant. There are no high derivative cubic vertices in the generalized
Yang-Mills theory. The amplitudes vanish as complex deformation parameter tends
to infinity, so that there is no contribution from the contour at infinity. We
derive a generalization of the Parke-Taylor formula in the case of production
of two tensor gauge bosons of spin-s and N gluons (jets). The expression is
holomorhic in the spinor variables of the scattered particles, exactly as the
MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s=1. In
generalized Yang-Mills theory the tree level n-particle scattering amplitudes
with all positive helicities vanish, but tree amplitudes with one negative
helicity particle are already nonzero.Comment: 19 pages, LaTex fil
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