Discrete Dynamics: Gauge Invariance and Quantization

Details Discrete Dynamics: Gauge Invariance and Quantization Discrete Dynamics: Gauge Invariance and Quantization

2009-06-03

arxiv.org/abs/0906.0718v2

Lecture Notes in Computer Science, V. 5743, pp. 180-194, Springer 2009

Physics

Mathematical Physics

15 pages; CASC 2009, Kobe, Japan, September 13-17, 2009

Scientific paper

Gauge invariance in discrete dynamical systems and its connection with quantization are considered. For a complete description of gauge symmetries of a system we construct explicitly a class of groups unifying in a natural way the space and internal symmetries. We describe the main features of the gauge principle relevant to the discrete and finite background. Assuming that continuous phenomena are approximations of more fundamental discrete processes, we discuss -- with the help of a simple illustration -- relations between such processes and their continuous approximations. We propose an approach to introduce quantum structures in discrete systems, based on finite gauge groups. In this approach quantization can be interpreted as introduction of gauge connection of a special kind. We illustrate our approach to quantization by a simple model and suggest generalization of this model. One of the main tools for our study is a program written in C.

Affiliated with

Also associated with

No associations

Rating

Discrete Dynamics: Gauge Invariance and Quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete Dynamics: Gauge Invariance and Quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Dynamics: Gauge Invariance and Quantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194108