You cannot become attached to the field, you will need to make it a Property, and yet, you will not be notified of changes if you do not implement any notification mechanism that can be achieved, for example. by implementing INotifyPropertyChanged or by creating the DependencyProperty property.
If you have a property, you can usually use the x:Static markup extension to bind to it.
But binding to a static property requires some tricks that may not work in your case, since they require either creating a dummy instance of your class, or creating its singleton. I also think that at least on Windows Phone 7 x:Static not available. Thus, you may want to make the property a property of the instance, perhaps on a separate ViewModel, which you can set as a DataContext .
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