14,124 research outputs found
Soluble field theory with a massless gauge invariant limit
It is shown that there exists a soluble four parameter model in (1+1)
dimensions all of whose propagators can be determined in terms of the
corresponding known propagators of the vector coupling theory. Unlike the
latter case, however, the limit of zero bare mass is nonsingular and yields a
nontrivial theory with a rigorously unbroken gauge invariance.Comment: 7 pages, revtex, no figure
Bilateral Differentiation of Color and Morphology in the Larval and Pupal Stages of \u3ci\u3ePapilio Glaucus\u3c/i\u3e (Lepidoptera: Papilionidae)
A sharply delineated, bilateral differentiation of color patterns and morphology were observed in a final (5th) instar larva of a subspecies backcross of a female Papilio glaucus glaucus with a hybrid male (P. g. glaucus x P. g. canadensis). Color and morphological differences were detectable in the pupa as well. In addition, a bilateral size difference was evident in both the pupa and the resulting adult butterfly. Such observations within a single living individual attest to the bilateral independence (also evident in perfect gynandromorphs) and general flexibility of the developmental control in this species of Lepidoptera
Unification of the Soluble Two-dimensional vector coupling models
The general theory of a massless fermion coupled to a massive vector meson in
two dimensions is formulated and solved to obtain the complete set of Green's
functions. Both vector and axial vector couplings are included. In addition to
the boson mass and the two coupling constants, a coefficient which denotes a
particular current definition is required for a unique specification of the
model.
The resulting four parameter theory and its solution are shown to reduce in
appropriate limits to all the known soluble models, including in particular the
Schwinger model and its axial vector variant.Comment: 10 page
The quantitative measure and statistical distribution of fame
Fame and celebrity play an ever-increasing role in our culture. However,
despite the cultural and economic importance of fame and its gradations, there
exists no consensus method for quantifying the fame of an individual, or of
comparing that of two individuals. We argue that, even if fame is difficult to
measure with precision, one may develop useful metrics for fame that correlate
well with intuition and that remain reasonably stable over time. Using datasets
of recently deceased individuals who were highly renowned, we have evaluated
several internet-based methods for quantifying fame. We find that some
widely-used internet-derived metrics, such as search engine results, correlate
poorly with human subject judgments of fame. However other metrics exist that
agree well with human judgments and appear to offer workable, easily accessible
measures of fame. Using such a metric we perform a preliminary investigation of
the statistical distribution of fame, which has some of the power law character
seen in other natural and social phenomena such as landslides and market
crashes. In order to demonstrate how such findings can generate quantitative
insight into celebrity culture, we assess some folk ideas regarding the
frequency distribution and apparent clustering of celebrity deaths.Comment: 17 pages, 6 figure
The Colorado/Missouri 1989 cirrus mini IFO
A series of experiments with aircraft were planned for Nov. and Dec. 1989 to study cirrus ice crystal nucleation mechanisms and to test new aircraft instrumentation. The measurements were conducted using the NCAR Sabreliner and King Air. Sampling was conducted near Boulder, Colorado, in lenticular (mountain wave) clouds, and over Missouri in cirrus generating cells. Field samples of aerosol and ice crystal replicas and melt water from these cirrus clouds were collected and studied. Aircraft instrumentation and sampling techniques are discussed
Perturbative Expansion in the Galilean Invariant Spin One-Half Chern-Simons Field Theory
A Galilean Chern-Simons field theory is formulated for the case of two
interacting spin-1/2 fields of distinct masses M and M'. A method for the
construction of states containing N particles of mass M and N' particles of
mass M' is given which is subsequently used to display equivalence to the
spin-1/2 Aharonov-Bohm effect in the N = N' =1 sector of the model. The latter
is then studied in perturbation theory to determine whether there are
divergences in the fourth order (one loop) diagram. It is found that the
contribution of that order is finite (and vanishing) for the case of parallel
spin projections while the antiparallel case displays divergences which are
known to characterize the spin zero case in field theory as well as in quantum
mechanics.Comment: 14 pages LaTeX, including 2 figures using eps
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