Keeping Sharp

Finite action of solutions of Euclidean field equations in Yang-Mills theory saturates the bound determined by the topological charge of...

Oscillatory integrals I(λ) generally have the form and become interesting at large (and real) λ. Usually it's assumed that the phase and...

In 4D Yang-Mills theory, perturbation theory generates an infrared cut-off for magnetic screening, that is too weak for convergence of...

In ℝᵈ any boundary point, the near region can be put in very simple canonical form by choosing appropriate coordinates, so that the...

The following will work extensively with holomorphic functions on complex spaces. While these objects are pretty much omnipresent, but...

A path integral over the field configurations gives a representation of the thermodynamical partition function. The resulting Euclidean...

Take a bounded, open, d-dimensional set and a continuous function f on the boundary. Find a function u, that is continous on the...

Computation of the running coupling constant at one-loop level is stuff of QFTII, but complicated enough to always merit repetition. In...

An element of the S-matrix is determined by a functional integral with a Yang-Mills action functional S[A] The integration measure is...

A smooth curve in 4D spacetime has a "Wilson Line" along itself, defined through an exponential. with a path-ordering operator P. It's an...