UA37/29 Gary Ransdell - Federal Reserve Board - Ben Bernanke on Squam Lake Report

Email sent to members of the St. Louis Federal Reserve Board of Ben Bernanke\u27s speech regarding the Squam Lake Report: Fixing the Financial System

Gauge fixing by unitary transformations in QCD

The unitary gauge fixing technique is applied to the QCD hamiltonian formulated in terms of angular variables. It is demonstrated that in this formulation projections on the physical Hilbert space are unnecessary to separate physical and unphysical degrees of freedom. Therefore the application of the unitary gauge fixing technique can be extended to the operator level.Comment: email: [email protected]; 8 pages LaTex; Paper to be published in Physics Letters

IR finite graviton propagators in de Sitter spacetime

Graviton propagator diverges in certain gauges in de Sitter spacetime. We address this problem in this work by generalizing the infinitesimal BRST transformations in de Sitter spacetime to finite field-dependent BRST (FFBRST) transformations. These FFBRST transformations are symmetry of the classical action, but do not leave path integral measure invariant for the graviton theory in de Sitter spacetime. Due to the non-trivial Jacobian of such finite transformation the path integral measure changes and hence FFBRST transformation is capable of relating theories in two different gauges. We explicitly construct FFBRST transformation which relates theory with diverging graviton two-point function to theory with infrared (IR) finite graviton. The FFBRST transformation thus establishes that divergence in graviton two-point function may be only a gauge artifact.Comment: Version to appear in EPJ