I am creating a quite simple application which reads and display text files and search through them.
I am asking myself if there is any interest for me to propose 32
The only times that have swung it for me is when there have been native libraries involved that have pushed it one way or the other. If you're just in Java land then realistically, unless you need >4GB of heap size, there's very little difference.
EDIT: The differences include things like it uses slightly more memory than 32 bit, significantly more if you're using a version before 6u23 and aren't using -XX:+UseCompressedOops
. There may also be a slight performance difference between the two, but again nothing huge.