290 research outputs found
Quasi-Relativistic Center-of-Mass Variables in Applications
Collective center-of-mass variables are introduced in the Lagrangian
formalism of the relativistic classical mechanics of directly interacting
particles. It is shown that the transition to the Hamiltonian formalism leads
to the Bakamjian-Thomas model. The quantum-mechanical system consisting of two
spinless particles is investigated. Quasi-relativistic corrections to the
discrete energy spectrum are calculated for some Coulomb-like interactions
having field theoretical analogues.Comment: 12 pages, Latex2
Heuristic Models of Two-Fermion Relativistic Systems with Field-Type Interaction
We use the chain of simple heuristic expedients to obtain perturbative and
exactly solvable relativistic spectra for a family of two-fermionic bound
systems with Coulomb-like interaction. In the case of electromagnetic
interaction the spectrum coincides up to the second order in a coupling
constant with that following from the quantum electrodynamics. Discrepancy
occurs only for S-states which is the well-known difficulty in the bound-state
problem. The confinement interaction is considered too.
PACS number(s): 03.65.Pm, 03.65.Ge, 12.39.PnComment: 16 pages, LaTeX 2.0
Induced mass in N=2 super Yang-Mills theories
The masses of the matter fields of N=2 Super-Yang-Mills theories can be
defined as parameters of deformed supersymmetry transformations. The
formulation used involves central charges for the matter fields. The explicit
form of the deformed supersymmetry transformations and of the invariant
Lagrangian in presence of the gauge supermultiplet are constructed. This works
generalizes a former one, due to the same authors, which presented the free
matter case.Comment: 15 pages, Late
Classical and Quantum Analysis of Repulsive Singularities in Four Dimensional Extended Supergravity
Non--minimal repulsive singularities (``repulsons'') in extended supergravity
theories are investigated. The short distance antigravity properties of the
repulsons are tested at the classical and the quantum level by a scalar
test--particle. Using a partial wave expansion it is shown that the particle
gets totally reflected at the origin. A high frequency incoming particle
undergoes a phase shift of . However, the phase shift for a
low--frequency particle depends upon the physical data of the repulson. The
curvature singularity at a finite distance turns out to be transparent
for the scalar test--particle and the coordinate singularity at the origin
serves as a repulsive barrier at which particles bounce off.Comment: 20 pages, 14 figure
N=2 central charge superspace and a minimal supergravity multiplet
We extend the notion of central charge superspace to the case of local
supersymmetry. Gauged central charge transformations are identified as
diffeomorphisms at the same footing as space-time diffeomorphisms and local
supersymmetry transformations. Given the general structure we then proceed to
the description of a particular vector-tensor supergravity multiplet of 24+24
components, identified by means of rather radical constraints
Ultrafast sublattice pseudospin relaxation in graphene probed by polarization-resolved photoluminescence
Electronic pseudospin degrees of freedom in two-dimensional materials exhibit unique carrier-field interactions which allow for advanced control strategies. Here, we investigate ultrafast sublattice pseudospin relaxation in graphene by means of polarization-resolved photoluminescence spectroscopy. A comparison with microscopic Boltzmann simulations allows us to determine a lifetime of the optically aligned pseudospin distribution of 12±2fs. This experimental approach extends the toolbox of graphene pseudospintronics, providing additional means to investigate pseudospin dynamics in active devices or under external fields
Asymptomatic Achilles tendon pathology is associated with a central fat distribution in men and a peripheral fat distribution in women: a cross sectional study of 298 individuals
<p>Abstract</p> <p>Background</p> <p>Adiposity is a modifiable factor that has been implicated in tendinopathy. As tendon pain reduces physical activity levels and can lead to weight gain, associations between tendon pathology and adiposity must be studied in individuals without tendon pain. Therefore, the purpose of this study was to determine whether fat distribution was associated with asymptomatic Achilles tendon pathology.</p> <p>Methods</p> <p>The Achilles tendons of 298 individuals were categorised as normal or pathological using diagnostic ultrasound. Fat distribution was determined using anthropometry (waist circumference, waist hip ratio [WHR]) and dual-energy x-ray absorptiometry.</p> <p>Results</p> <p>Asymptomatic Achilles tendon pathology was more evident in men (13%) than women (5%) (p = 0.007). Men with tendon pathology were older (50.9 ± 10.4, 36.3 ± 11.3, p < 0.001), had greater WHR (0.926 ± 0.091, 0.875 ± 0.065, p = 0.039), higher android/gynoid fat mass ratio (0.616 ± 0.186, 0.519 ± 0.142, p = 0.014) and higher upper-body/lower body fat mass ratio (2.346 ± 0.630, 2.022 ± 0.467, p = 0.013). Men older than 40 years with a waist circumference >83 cm had the greatest prevalence of tendon pathology (33%). Women with tendon pathology were older (47.4 ± 10.0, 36.0 ± 10.3, p = 0.008), had less total fat (17196 ± 3173 g, 21626 ± 7882 g, p = 0.009), trunk fat (7367 ± 1662 g, 10087 ± 4152 g, p = 0.003) and android fat (1117 ± 324 g, 1616 ± 811 g, p = 0.005). They had lower central/peripheral fat mass ratios (0.711 ± 0.321 g, 0.922 ± 0.194 g, p = 0.004) than women with normal tendons. Women with tendon pathology were more often menopausal (63%, 13%, p = 0.002).</p> <p>Conclusions</p> <p>Men with Achilles tendon pathology were older and had a central fat distribution. Women with tendon pathology were older and had a peripheral fat distribution. An interaction between age and waist circumference was observed among men.</p
Black Holes and Flop Transitions in M-Theory on Calabi-Yau Threefolds
We present fivedimensional extreme black hole solutions of M-theory
compactified on Calabi-Yau threefolds and study these solutions in the context
of flop transitions in the extended Kahler cone. In particular we consider a
specific model and present black hole solutions, breaking half of N=2
supersymmetry, in two regions of the extended Kahler cone, which are connected
by a flop transition. The conditions necessary to match both solutions at the
flop transition are analysed. Finally we also discuss the conditions to obtain
massless black holes at the flop transition.Comment: 19 pp, LaTe
Third post-Newtonian constrained canonical dynamics for binary point masses in harmonic coordinates
The conservative dynamics of two point masses given in harmonic coordinates
up to the third post-Newtonian (3pN) order is treated within the framework of
constrained canonical dynamics. A representation of the approximate Poincar\'e
algebra is constructed with the aid of Dirac brackets. Uniqueness of the
generators of the Poincar\'e group resp. the integrals of motion is achieved by
imposing their action on the point mass coordinates to be identical with that
of the usual infinitesimal Poincar\'e transformations. The second
post-Coulombian approximation to the dynamics of two point charges as predicted
by Feynman-Wheeler electrodynamics in Lorentz gauge is treated similarly.Comment: 42 pages, submitted to Phys. Rev.
Hamiltonian formulation for the classical EM radiation-reaction problem: application to the kinetic theory for relativistic collisionless plasmas
A notorious difficulty in the covariant dynamics of classical charged
particles subject to non-local electromagnetic (EM) interactions arising in the
EM radiation-reaction (RR) phenomena is due to the definition of the related
non-local Lagrangian and Hamiltonian systems. The lack of a standard
Lagrangian/Hamiltonian formulation in the customary asymptotic approximation
for the RR equation may inhibit the construction of consistent kinetic and
fluid theories. In this paper the issue is investigated in the framework of
Special Relativity. It is shown that, for finite-size spherically-symmetric
classical charged particles, non-perturbative Lagrangian and Hamiltonian
formulations in standard form can be obtained, which describe particle dynamics
in the presence of the exact EM RR self-force. As a remarkable consequence,
based on axiomatic formulation of classical statistical mechanics, the
covariant kinetic theory for systems of charged particles subject to the EM RR
self-force is formulated in Hamiltonian form. A fundamental feature is that the
non-local effects enter the kinetic equation only through the retarded particle
4-position, which permits the construction of the related non-local fluid
equations. In particular, the moment equations obtained in this way do not
contain higher-order moments, allowing as a consequence the adoption of
standard closure conditions. A remarkable aspect of the theory concerns the
short delay-time asymptotic expansions. Here it is shown that two possible
expansions are permitted. Both can be implemented for the single-particle
dynamics as well as for the corresponding kinetic and fluid treatments. In the
last case, they are performed a posteriori on the relevant moment equations
obtained after integration of the kinetic equation over the velocity space.
Comparisons with literature are pointed out
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