Kirkwood–Buff Integrals for Finite Volumes

Finite Yang-Mills Integrals

We use Monte Carlo methods to directly evaluate D-dimensional SU(N) Yang-Mills partition functions reduced to zero Euclidean dimensions, with and without supersymmetry. In the non-supersymmetric case, we find that the integrals exist for D = 3, N ≥ 4 and D = 4, N ≥ 3 and, lastly, D ≥ 5, N ≥ 2. We conclude that the D = 3 and D = 4 integrals exist in the large N limit, and therefore lead to a wel...

Lecture 10: Finite Volumes

As we have seen in the previous lectures, FD are very intuitive but lack flexibility and accuracy towards complex geiometries. FEM solve the problem very effectively, but at the cost of a significant computational burden. As we shall see, the FVM offers a very effective intermediate strategy between the two. In this lecture we shall describe the main ideas behind the Finite Volume (FV) method, ...

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

Quadrature Rules for Fuzzy Integrals

Batalin–Vilkovisky Integrals in Finite Dimensions

The Batalin-Vilkovisky method (BV ) is the most powerful method to analyze functional integrals with (infinite-dimensional) gauge symmetries presently known. It has been invented to fix gauges associated with symmetries that do not close off-shell. Homological Perturbation Theory is introduced and used to develop the integration theory behind BV and to describe the BV quantization of a Lagrangi...