ar X iv : h ep - l at / 9 30 50 06 v 1 4 M ay 1 99 3 HLRZ 27 / 93 LU TP 93 - 6 April 1993 Finite - size Scaling at Phase Coexistence

ar X iv : h ep - l at / 9 30 50 16 v 1 2 0 M ay 1 99 3 FUB - HEP 9 / 93 May 4 , 1993

To further improve the performance of Monte Carlo simulations of first-order phase transitions we propose to combine the multicanonical approach with multigrid techniques. We report tests of this proposition for the d-dimensional Φ4 field theory in two different situations. First, we study quantum tunneling for d = 1 in the continuum limit, and second, we investigate first-order phase transitio...

ar X iv : h ep - t h / 93 05 10 4 v 1 2 1 M ay 1 99 3 The role of mathematics in contemporary theoretical physics ∗

ar X iv : h ep - l at / 9 21 10 55 v 1 2 3 N ov 1 99 2 1 Finite - size scaling on the Ising coexistence line ∗

We study the finite-size scaling of moments of the magnetization in the low-temperature phase of the two-dimensional Ising model.

ar X iv : h ep - t h / 93 04 15 9 v 2 6 M ay 1 99 3 CERN - TH . 6877 / 93 ADM Masses for Black Strings and p - Branes

An ADM mass formula is derived for a wide class of black solutions with certain spherical symmetry. By applying this formula, we calculate the ADM masses for recently discovered black strings and p-branes in diverse dimensions. By this, the Bogolmol'nyi equation can be shown to hold explicitly. A useful observation is made for non-extremal black p-branes that only for p = 0, i.e. for a black ho...

X iv : h ep - t h / 93 03 08 6 v 1 1 5 M ar 1 99 3 Zero - curvature condition in two dimensions . Relativistic particle models and finite W - transformations

A relation between an Sp(2M) gauge particle model and the zero-curvature condition in a two-dimensional gauge theory is presented. For the Sp(4) case we construct finite W-transformations.