Amplitudes for massive vector and scalar bosons in spontaneously-broken gauge theory from the CHY representation

In the formulation of Cachazo, He, and Yuan, tree-level amplitudes for massless particles in gauge theory and gravity can be expressed as rational functions of the Lorentz invariants $k_a \cdot k_b$, $\epsilon_a \cdot k_b$, and $\epsilon_a \cdot \epsilon_b$, valid in any number of spacetime dimensions. We use dimensional reduction of higher-dimensional amplitudes of particles with internal momentum $\kappa$ to obtain amplitudes for massive particles in lower dimensions. In the case of gauge theory, we argue that these massive amplitudes belong to a theory in which the gauge symmetry is spontaneously broken by an adjoint Higgs field. Consequently, we show that tree-level $n$-point amplitudes containing massive vector and scalar bosons in this theory can be obtained by simply replacing $k_a \cdot k_b$ with $k_a \cdot k_b - \kappa_a \kappa_b$ in the corresponding massless amplitudes, where the masses of the particles are given by $|\kappa_a|$.Comment: 7 pages, no figures; v2: added paragraph, published versio

Prigogine and Pannenberg: Theological and Scientific Perspectives on Contingency and Irreversibility

The author demonstrates how Nobel Laureate Ilya Prigogine\'s pioneering work on dissipative structures and non-equilibrium thermodynamics might be used to answer theological questions about contingency and irreversibility that theologian Wolfhart Pannenberg posed to scientists twenty years ago. Prigogine \'s reformulation of classical dynamics and his mathematical model of irreversibility seem to corroborate Pannenberg \'s claim that natural phenomena must be both contingent and irreversible, if the Christian worldview is correct. The writings of Prigogine and Pannenberg provide an interesting example of the methodological difficulties encountered when comparing scientific and theological worldviews

Values congruence: more salient to social networking than to fit

This developmental paper looks at the issue of values congruence and the extent to which it evidences fit (for example P-O, P-G, P-P fit) or is more salient when identifying a social network which might be a more relevant construct for employees in the workplace. It takes a brief look at the background to the interaction debate as a foundation for the argument that value congruence is key to building relationships between individuals. The debate is brought up to date with a discussion of Edwards and Cable’s 2009 paper which puts the case for the value in value congruence in determining employee behaviour. This paper, however, seeks to question the extent to which values congruence is more important to individuals at work in terms of their fit (on whatever level) or in terms of their social network (which might underpin a sense of ‘not misfitting’) which might be key for many employees. The paper goes on to consider the implications for fit research in the light of salience of social network theory