The concept of ‘field’ and ‘gap‪’‬

The starting point of my research paper on field theory and gaps is the question: what are the different interpretations of ‘field’ in our language nowadays. I started with dictionaries and went on with encyclopedias.
According to the German dictionary “Duden” (Duden (2000: 370)) a field may be e.g. an electric field. This shows that this word may be lexical ambiguous. There can also be found some word combinations with ‘field’, e.g. cross-country, ‘ins Feld (in den Krieg) ziehen’ or field crop. This example shows that there is no one-to-one correspondence in English for ‘ins Feld ziehen’. A non-native speaker has to paraphrase this expression, e.g. ‘go to war’.
However, these notions are rather primary. In order to find a more precise kind of definition, I searched the “Wikipedia” (http://wikipedia.org/wiki/Feld (access: 2005-08-02, 12:14 MEZ)) and found a very detailed description of the term ‘field’: it can represent an acre (differentiated land area to grow agricultural crop), in sports the field to play on or a certain group of pursuers, in military history the theater of war, in general a specific field, in physics a certain position, in computer science a data structure, in cutting the term for a single picture, and in a specific area of heraldry the term for the parts of a crest.
By looking up ‘field’ in the online dictionary ‘Wiktionary’ (http://de.wiktionary.org/wiki/Feld (access: 2005-08-02, 20:22 MEZ)), I discovered nearly the same definition as in the “Wikipedia”, but there were two pieces of extra information about ‘field’: it may be a defined as an area on a sheet of paper, a board to play on, or a screen, but it can as well depict the world outside of a laboratory.