When you see green fields in a dream, then such dream indicates nurturance, independence and joy. There is also a possibility that this time of your life you are entering the new stage of something important. The dream could also represent the connection the dreamer has with the nature and the natural world he is surrounded by. If you see the fields that are freshly plowed, then such dreams shows the new beginning of something important. On the negative note fields can represent the losses and unfulfilled dreams and wishes but only if the fields are not alive or they are barren.
Read more about dreaming of Field in other dream meanings interpretations.