Here are some examples:
* Correct: "I am studying Industrial Hygiene at the university."
* Correct: "The company hired an Industrial Hygiene consultant to assess the workplace."
However, if "industrial hygiene" is used in a general sense, without referring to the specific field, it should not be capitalized:
* Correct: "The company needs to improve industrial hygiene practices."
* Correct: "Industrial hygiene is important for protecting workers' health."
In essence, follow the same rules for capitalizing other fields of study like "Medicine," "Engineering," or "Psychology."