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Analytic Variational Method For Hamiltonian Lattice Gauge Theory In 3+ 1 Dimensions, Ming C. Huang, Mohammad W. Katoot
Analytic Variational Method For Hamiltonian Lattice Gauge Theory In 3+ 1 Dimensions, Ming C. Huang, Mohammad W. Katoot
Aerospace, Physics, and Space Science Faculty Publications
We present an analytic d in 3 + 1 dimensions for Hamiltonian lattice gauge theory. This method is based on Batrouni's mean-plaquette method and space integration. The Abelianized Bianchi identities are used and a detailed study of the number of identities that are needed and the validity of this approximation is given. The we use is the product of single-plaquette wave functions. The guage group we consider here is SU(2), but the method is valid for any gauge theory. We apply this method to calculate the 0++ glueball mass, and, in addition, the results of the string tension (scaling is …
Perturbations Of Gravitational Instantons, Charles G. Torre
Perturbations Of Gravitational Instantons, Charles G. Torre
Aerospace, Physics, and Space Science Faculty Publications
Ashtekar's spinorial formulation of general relativity is used to study perturbations of gravitational instantons corresponding to finite-action solutions of the Euclidean Einstein equations (with a nonzero cosmological constant) possessing an anti-self-dual Weyl curvature tensor. It is shown that, with an appropriate "on-shell" form of infinitesimal gauge transformations, the space of solutions to the can be described in terms of an elliptic complex; the cohomology of the complex defines gauge-inequivalent perturbations. Using this elliptic complex we prove that there are no nontrivial solutions to the linearized instanton equation on conformally anti-self-dual Einstein spaces with a positive cosmological constant. Thus, the space …