In all mass cases needed for quark and gluon self-energies, the two-loop master diagram is expanded at large and small q, in d dimensions, using identities derived from integration by parts. Expansions are given, in terms of hypergeometric series, for all gluon diagrams and for all but one of the quark diagrams; expansions of the latter are obtained from differential equations. Padé approximant...

This paper describes a methodology, and the results stemming from it, for analysing the dynamic encoding of speaker identity and dialect in prosodic parameters. A method based on employing properties of the well known Dynamic Time Warping (DTW) algorithm’s path of best match allows the separation of purely dynamic from static properties of acoustic parameters and hence their evaluation as to dy...

A formula for the magnetostatic energy of a finite magnet is proven. In contrast to common approaches, the new energy identity does not rely on evaluation of a nonlocal boundary integral inside the magnet or the solution of an equivalent Dirichlet problem. The formula is therefore computationally efficient. Algorithms for the simulation of magnetic materials could benefit from incorporating the...

We study linearised massive gravity on the de Sitter background. With a smallenough graviton mass this may have had relevance to inflation, or the present-day cosmic acceleration. Higuchi has shown that this theory has a ghost as long as the dS curvature exceeds the graviton mass, 2H2 > m2; this would entail rapid instabilities. In this work we extend the model and observe that the helicity-0 m...

A b s t r a c t. Let G denote the complement of the graph G . If I(G) is some invariant of G , then relations (identities, bounds, and similar) pertaining to I(G) + I(G) are said to be of Nordhaus-Gaddum type. A number of lower and upper bounds of Nordhaus-Gaddum type are obtained for the energy and Laplacian energy of graphs. Also some new relations for the Laplacian graph energy are established.

OBJECTIVE To determine whether spiritual and religious identities predict complementary and alternative medicine (CAM) use above and beyond other known influences such as gender, region of residence, social status, personality, health, and access to conventional medicine. METHODS Analyzing data from the 1995-1996 National Survey of Midlife Development in the United States (n=3032), this study...

Privacy” is an ambiguous notion, encompassing personal autonomy, democratic participation, identity management, and social coordination. Each of these privacy ideals reflect different sets of social concerns. Laws operationalize privacy in terms of “personally identifiable information.” Technologies reify that definition. This has implications for the constitution of identity and social life. I...

In contrast to the conventional treatment of gauge theories, in the background-field method the Ward identities for connected Green functions are not violated by Dyson summation of self-energies in finite orders of perturbation theory. Thus, Dyson summation does not spoil gauge cancelations at high energies which are ruled by the Goldstone-boson equivalence theorem. Moreover, in the background-...

Where the poor form a majority or near-majority, why don't they vote themselves to power in democracies? 50 percent of the population, respectively, why don't poor groups emerge and take power democratically? Even in countries where the poor form a smaller but still sizable part of the population—such as India (29 percent), Ecuador (35 percent), and the Philippines (37 percent)—why are the poli...

We suggest and discuss a simple model of an ideal gas under the piston to gain an insight into the workings of the Jarzynski identity connecting the average exponential of the work over the nonequilibrium trajectories with the equilibrium free energy. We show that the identity is valid for our system, due to the very rapid molecules belonging to the tail of the Maxwell distribution. For the mos...