In a recent work on the quantization of a massless scalar field in a particular colliding plane wave space-time, we computed the vacuum expectation value of the stress-energy tensor on the physical state which corresponds to the Minkowski vacuum before the collision of the waves. We did such a calculation in a region close to both the Killing-Cauchy horizon and the folding singularities that su...

We use high precision lattice simulations to calculate the plaquette expectation value in three-dimensional SU(Nc) gauge theory for Nc = 2, 3, 4, 5, 8. Using these results, we study the Nc-dependence of the first non-perturbative coefficient in the weak-coupling expansion of hot QCD. We demonstrate that, in the limit of large Nc, the functional form of the plaquette expectation value with ultra...

We present a formal but simple calculational scheme to relate the expectation value of Wilson loops in Chern-Simons theory to the Jones polynomial. We consider the exponential of the generator of homotopy transformations which produces the finite loop deformations that define the crossing change formulas of knot polynomials. Applying this operator to the expectation value of Wilson loops for an...

The Faustmann formula, equivalent to the land expectation value (LEV), yields present value, starting with bare land, of an infinite series future timber rotations for a stand. If this formula is used find rotation age that maximizes lower annual harvest will result when compared maximum sustained yield (MSY) regime ownership many stands. However, LEV strongly preferred by economists. This vs. ...

In this paper we consider some analytic properties of the high–energy quark–quark scattering amplitude, which, as is well known, can be described by the expectation value of two lightlike Wilson lines, running along the classical trajectories of the two colliding particles. We shall prove that the expectation value of two infinite Wilson lines, forming a certain hyperbolic angle in Minkowski sp...