1302.3506 (W. A. Zuniga-Galindo)

Non Archimedean Pseudodifferential Equations of Klein-Gordon Type and
Quantum Scalar Fields    [PDF]

W. A. Zuniga-Galindo

In this article we introduce a new class of non Archimedean pseudodifferential equations of Klein-Gordon type whose solutions can be easily quantized using the machinery of the second quantization. We study the Cauchy problem for these equations. We present a `semi-formal' constructruction, on the p-adic Minkowski space, of the neutral and charged quantum scalar fields having a nonzero p-adic number as mass parameter.

View original: http://arxiv.org/abs/1302.3506