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Scaling dimension
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<p>In <a href="/facts/Theoretical_physics/Cs2Y12rQ">theoretical physics</a>, the scaling dimension, or simply dimension, of a local operator in a <a href="/facts/Quantum_field_theory/VoewsNJV">quantum field theory</a> characterizes the rescaling properties of the operator under spacetime <a href="/facts/Dilation_(affine_geometry)/WUmuRuzC">dilations</a> x → λ x {\displaystyle x\to \lambda x} . If the <a href="/facts/Quantum_field_theory/VoewsNJV">quantum field theory</a> is <a href="/facts/Scale_invariance/S96sxg2R">scale invariant</a>, scaling dimensions of operators are fixed numbers, otherwise they are functions of the distance scale. </p>