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What is Scale Invariance in Perturbation Theory about?

The document discusses anomalous dimensions and the breakdown of scale invariance in perturbation theory. It shows that the renormalized perturbation expansion of a zero-mass scalar field theory with a φ4 interaction is not scale invariant at order λ2, contrary to what canonical field theory predicts. Matrix elements of the divergence of the dilation current Dμ(x) are computed in order λ2 using Ward identities and found to be proportional to λ2φ2(x), spoiling scale invariance. It is also found that the dime

Author

Yoni Ramirez Robles

Language

EN