just some notes adding on to the explaination..
in the correct/original sentense--"...give the Nobel Prize to people who are outstanding in their fields.", the word 'field' should refer to each person's individual area of study, achivement, acomplishment.
field can be also translated into 'a big geological/physical area or land', just like where the farmer has used in his sentense.
this joke's main point is using the difference in translation/meaning of the word to express the farmer's point of view.