Perturbation theory in nonstandard cosmology

We study inhomogeneous perturbations away from the strongly homogeneous background cosmology previously studied. The problem is greatly simplified by using the mapping on the inner Schwarzschild solution. The resulting linear perturbation equations can be solved by power series. The solution leads to a finite energy density, but the pressure must be zero.Comment: 21 pages, no figur

The Quantum Supersymmetric Vector Multiplet and Some Problems in Non-Abelian Supergauge Theory

We consider the supersymmetric vector multiplet in a purely quantum framework. We obtain some discrepancies with respect to the literature in the expression of the super-propagator and we prove that the model is consistent only for positive mass. The gauge structure is constructed purely deductive and leads to the necessity of introducing scalar ghost superfields, in analogy to the usual gauge theories. The construction of a consistent supersymmetric gauge theory based on the vector model depends crucially one the definition of gauge invariance. We find some significant difficulties to impose a supersymmetric gauge invariance condition for the usual expressions from the literature.Comment: 41 pages, LATEX2

Generalized Gram–Hadamard inequality

We generalize the classical Gram determinant inequality. Our generalization follows from the boundedness of the antisymmetric tensor product operator. We use fermionic Fock space methods