Unimodular Trees versus Einstein Trees

The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a remarkable result, insofar as both the propagators and the vertices are quite different in both theories.Comment: 20 pages, 5 figure

Kinematic sensitivity to the Fierz term of β\beta-decay differential spectra

The current most stringent constraints on exotic scalar or tensor couplings in neutron and nuclear $\beta$ decay, involving left-handed neutrinos, are obtained from the Fierz interference term. The sensitivity to this term in a correlation coefficient is usually driven by an energy-averaged kinematic factor that increases monotonically toward smaller values of the $\beta$ endpoint energies. We first point out here that this property does not hold for certain differential observables that are directly sensitive to the Fierz term, such as the $\beta$ or the recoil energy spectrum. This observation is relevant for the selection of sensitive transitions in searches for exotic couplings through spectrum shape measurements. We then point out previous errors in the exploitation of measurements of the $\beta-\nu$ angular correlation coefficient and discuss their impact on the extraction of constraints on exotic couplings.Comment: 7 pages, 5 figure

Do the gravitational corrections to the beta functions of the quartic and Yukawa couplings have an intrinsic physical meaning?

We study the beta functions of the quartic and Yukawa couplings of General Relativity and Unimodular Gravity coupled to the $\lambda\phi^4$ and Yukawa theories with masses. We show that the General Relativity corrections to those beta functions as obtained from the 1PI functional by using the standard MS multiplicative renormalization scheme of Dimensional Regularization are gauge dependent and, further, that they can be removed by a non-multiplicative, though local, field redefinition. An analogous analysis is carried out when General Relativity is replaced with Unimodular Gravity. Thus we show that any claim made about the change in the asymptotic behaviour of the quartic and Yukawa couplings made by General Relativity and Unimodular Gravity lack intrinsic physical meaning.Comment: 6 pages, 7 figure

Transfers versus Public Investment: The Politics of Intergenerational Redistribution and Growth

In this paper we analyze tax and transfer choices in an OLG economy with capital accumulation and endogenous growth coming from public investment, such as education. We solve for a Markov perfect equilibrium when electoral competition targets the votes of young and old households. We find that when calibrating the model to match US data, it predicts levels of intergenerational transfers and of public investments that are similar to the observed ones. Furthermore the Ramsey policy for the same parameters would call for both generations to be taxed to finance public investment. If the political process internalized the benefits that public investment has on future generations, growth would be twice as high as currently observedendogenous growth; intergenerational transfers; education; probabilistic voting; Markov perfect equilibrium

Wormholes in the accelerating universe

We discuss different arguments that have been raised against the viability of the big trip process, reaching the conclusions that this process can actually occur by accretion of phantom energy onto the wormholes and that it is stable and might occur in the global context of a multiverse model. We finally argue that the big trip does not contradict any holographic bounds on entropy and information.Comment: 2 pages, LaTex, to appear in the Proceedings of the 11th Marcel Grossmann Conference, 200