Although this is a common problem faced by people with diabetes
, because of nerve damage
),but i am ruling it out since you have already stated its absence.
Other causes of burning feet can be ....
1... Mechanical load on feet specially with people who are standing almost entire day.
2.. If you are overweight
3... If you are consuming excessive alcohol.
4...people having hot and sweaty feet.
5... Local fungal infections of feet.
6.. Due to some chemical in socks or shoes
7...VIT B deficiencies like deficiency of B1,B2, B3, B5,B6, B12
Wear cotton socks,change your shoes and consult a doctor to identify the cause and get proper treatment.