We discuss the possibility that fermionic condensates arise from the dominance of scalar exchange forces over vector gluon exchange. When a scalar in the adjoint representation is exchanged in the reaction A + A → A+A, the usual most attractive channel (MAC) rule is reversed in sign, with the consequence that the formation of a condensate with the largest possible Casimir is favored. More gener...

We prove that the probability PN for a real random Gaussian N ×N ×2 tensor to be of real rank N is PN = (Γ((N + 1)/2))N/G(N + 1), where Γ(x), G(x) denote the gamma and Barnes G-functions respectively. This is a rational number for N odd and a rational number multiplied by πN/2 for N even. The probability to be of rank N + 1 is 1− PN . The proof makes use of recent results on the probability of ...

Abstract: Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, which is an extension of the well-known Laplace transform. In many circumstances, the kernel function to evaluate certain integral forms has been studied. In this article, we establish relationships between q-exponential and other well-known functional forms, such as Mittag–Leffler functio...