Quantum field theory has enjoyed much success, indeed for ordinary flat spacetime applications it has been experimentally verified to a great deal of accuracy. However on general cursed spacetime backgrounds there is no canonical method for constructing a quantum field theory. In 1975, Abhay Ashtekar and Anne Magnon made progress...
We discuss a relativistic transport theory of condensed matter based on a
microscopic system containing bosonic and fermionic degrees of freedom interacting via 3 -
and 4-point interactions. We use the Dyson hierarchy as a solution to the underlying field
theory and truncate this hierarchy by parametrizing the 2-particle-irreducible kernels...
Let G be a finite group, G₂ be a Sylow 2-subgroup of G, and L/K be a G-Galois extension. We study the trace form qL/K of L/K and the question of existence of a self-dual normal basis. Our main results are as follows: (1) If G₂ is not abelian and...
