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{{short description|Operator in statistical mechanics and quantum field theory}}
In [[statistical mechanics]] and [[quantum field theory]], a '''dangerously irrelevant operator''' (or '''dangerous irrelevant operator''') is an [[operator (mathematics)|operator]] which is irrelevant at a renormalization group fixed point, yet affects the [[infrared]] (IR) physics significantly (e.g. because the [[vacuum expectation value]] (VEV) of some field depends sensitively upon the coefficient of this operator).
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