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Physics Faculty Scholarship

Anomalous Dimensions

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Full-Text Articles in Physics

Composite Operator Renormalization And The Trace Anomaly, David G. Robertson Jan 1991

Composite Operator Renormalization And The Trace Anomaly, David G. Robertson

Physics Faculty Scholarship

The general connection between the renormalization of elementary fields and couplings and of appropriate composite operators is discussed. A general method is presented for computing the anomalous dimension matrix of the lagrangian composite operators, to all orders in perturbation theory, in terms of the elementary beta functions and anomalous dimensions. The trace anomaly for a general field theory is determined.


Anomalous Dimensions Of Anisotropic Gauge Theory Operators, David G. Robertson, Frank Wilczek Nov 1990

Anomalous Dimensions Of Anisotropic Gauge Theory Operators, David G. Robertson, Frank Wilczek

Physics Faculty Scholarship

The anomalous dimensions of the anisotropic dimension four operators in SU(N) gauge theory coupled to fermions are calculated to lowest order. The possibility of comparison with numerical simulations is pointed out.