Title:
Particles and p�|Adic Integrals of Spin(1/2): 
Spin Lie Group, R(��, q)�|gamma and R(��, q)�| beta Functions, Ghost and Applications


Abstract:
In this work, we address the p-adic analogues of the fermion spin Lie algebras and Lie groups. We consider the extension of the fermion spin Lie groups and Lie algebras to the p�|adic Lie groups and investigate the way to extend their integral to the zeta function as well. We show that their groups are ghost friendly. In addition, we develop the R(p, q)�|deformed calculus for the Bernoulli, Volkenborn, Euler and Genocchi polynomials, and establish related definitions. Finally, we perform a p�|adic generalization of beta and gamma functions and exhibit some physical applications.