35,237 research outputs found
Field Theory reformulated without self-energy parts.Divergence-free classical electrodynamics
A manifestly gauge-invariant hamiltonian formulation of classical
electrodynamics has been shown to be relativistic invariant by the construction
of the adequate generators of the Poincare Lie algebra [Physica, 76, No. 3,
421-444 (1974)]. The original formulation in terms of reduced distribution
functions for the particles and the fields is applied here to the case of two
charges interacting through a classical electrodynamical field. On the other
hand, we have been able in previous work to introduce irreversibility at the
fundamental level of description [Ann. Phys., 311, 314-349 (2004)] by
reformulating field theory without self-energy parts by integrating all
processes associated with self-energy in a kinetic operator, while keeping the
equivalence with the original description [Prog. Theor. Phys.,109, 881-909
(2003)]. In this paper, the two approaches are combined to provide a formalism
that enables the use of methods of statistical physics to tackle the problem of
the divergence of the self-mass. Our approach leads to expressions that are
finite even for point-like charged particles: the limit of a infinite cutoff
can be taken in an harmless way on self consistent equations. In order to check
our theory, we recover the power dissipated by radiation in geometries where
the usual mass divergence does not play a roleComment: 82 pages, submitted Annals of Physics, Interpretation revised
completel
Field Theory reformulated without Self-energy Parts. The dressing Operator
The reformulation of field theory for avoiding self-energy parts in the
dynamical evolution has been applied successfully in the framework of the Lee
model, [M. de Haan. Ann. Phys., 311, 314-349 (2004)] enabling a kinetic
extension of the description. The basic ingredient is the recognition of these
self-energy parts. [M. de Haan and C. George. Trends in Statistical Physics 3
(2000), 115] The original reversible description is embedded in the new one and
appears now as a restricted class of initial conditions. [M. de Haan and C.
George. Prog. Theor. Phys.,109, 881-909 (2003)] This program is realized here
in the reduced formalism for a scalar field, interacting with a two-level atom,
beyond the usual rotating wave approximation. The kinetic evolution operator,
previously surmised, [M. de Haan. Physica, A171 (1991), 159] is here derived
from first principles, justifying the usual practice in optics where the common
use of the so-called pole approximation should no longer be viewed as an
approximation but as an alternative description in the appropriate formalism.
That model illustrates how some dressing of the atomic levels (and vertices),
through an appropriate operator, finds its place naturally into the new
formalism since the bare and dressed ground states do no longer coincide.
Moreover, finite velocity for field propagation is now possible in all cases,
without the presence of precursors for multiple detections.Comment: 55 pages. Revised version for Annals of Physics. Typos and English
corrections, references and precisions adde
Magnetisation reversal mechanism in Co-Cr media for perpendicular magnetic recording
In this study Co---Cr thin films with perpendicular anisotropy are investigated. Three films with values for Hc of 11, 90 and 170 kA/m have been selected for this paper. Besides the coercivily several other parameters such as the Hc/Hk, Cr-segregation, domain structure, column sizes, etc. were studied by VSM, SEM, NMR, MFM, AFM and selective etching. The anomalous Hall effect (AHE) has been used to record the hysteresis curves of submicron Hall crosses. This very sensitive technique in combination with e-beam lithography and ion-beam etching resulted in the recording of AHE hysteresis loops with dimensions of the Hall crosses as small as 0.3 × 0.3 ¿m2. The AHE loops of three samples, with less than 60 columns, show different micromagnetic properties. Only the sample with Hc1 = 90 kA/m shows clear steps in the curves above the noise level. The largest steps correspond with the reversal of one column and the total number of steps was five times the number of columns for this sample. The different reversal mechanisms observed by the AHE are related to the differences in structure, coercivity and domain size
The Bessel Period of U(3) and U(2) involving a non-tempered representation
In \cite{Ha}, Neal Harris has given a refined Gross-Prasad conjecture for
unitary group as an analogue of Ichino and Ikeda's paper \cite{Ich} concerning
special orthogonal groups. In his paper, he stated a conjecture under the
assumption that the pair of given representations should be tempered. In this
paper, we consider a specific pair involving a non-tempered one. In this case,
an analogous formula still exists but the central critical -value is
slightly different with the one in the conjecture. As a corollary, this
verifies that the tempered condition is indispensable in formulating the
conjecture.Comment: 25 pages, Two changes : 1. deleted appendix.A contained in version.5
, 2. insertion of Remark 4.
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