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Atakor
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Hello,
What about gauging discrete groups ?
(C, P, T (??), Flavour Groups, Fermionic number symmetry...)
What about gauging discrete groups ?
(C, P, T (??), Flavour Groups, Fermionic number symmetry...)
Yes, that what I mean.. I'm sorry if the my question was ''enigmatic''.xepma said:If you're talking about discrete gauge theory in the sense that the gauge group is a descrete group, then yes, such theories are around. It's even possible to define it on a lattice -> lattice gauge theory. I think there's an introductory book by J. Smit about this.
timur said:If I understood your question correctly, you cannot "gauge" discrete groups because your want the gauge to be continuous and the only continuous function (whatever that means) having values from a discrete group on a connected space is a constant function, so it is just same as having "global gauge".
Atakor said:well.. I don't understand what you mean but I think you have in mind a discrete group without spatial dependence (hence the absence of a continuous mapping)..I think.
but why ??My point is that you cannot have continuous (nontrivial) spatial dependence with discrete groups.
"Gauging discrete groups" refers to the process of measuring or evaluating small, distinct groups of data or elements. It involves analyzing the characteristics, patterns, and relationships within these discrete groups in order to gain insight or make informed decisions.
Gauging discrete groups allows for a more detailed and accurate understanding of the data. It can help identify trends, outliers, and other important information that may be missed when looking at larger, more generalized groups. This information can be used to make more targeted and effective decisions.
Discrete groups can include demographic data such as age, gender, or income level, as well as categorical data like product types, customer segments, or geographic regions. They can also be based on specific events or time periods, such as sales data for a particular month or customer feedback for a specific product.
There are various methods that can be used to gauge discrete groups, including statistical analysis, data visualization, and data mining techniques. These methods can help identify patterns, trends, and relationships within the data, and provide insights that can inform decision making.
The results of gauging discrete groups can be applied in a variety of ways, depending on the specific goals and objectives. For example, it can inform marketing strategies, product development, or resource allocation. It can also be used to identify areas for improvement or to make predictions about future trends.