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scaling dimension : ウィキペディア英語版 | scaling dimension In theoretical physics, scaling dimension, or simply dimension, of a local operator in a quantum field theory characterizes rescaling properties of the operator under spacetime dilations . If the quantum field theory is scale invariant, scaling dimensions of operators are fixed numbers, otherwise they are functions depending on the distance scale. == Scale invariant quantum field theory ==
In a scale invariant quantum field theory, by definition each operator ''O'' acquires under a dilatation a factor , where is a number called the scaling dimension of ''O''. This implies in particular that the two point correlation function depends on the distance as . More generally, correlation functions of several local operators must depend on the distances in such a way that
It should be noted that most scale invariant theories are also conformally invariant, which imposes further constraints on correlation functions of local operators.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「scaling dimension」の詳細全文を読む
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