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Articles 31 - 33 of 33
Full-Text Articles in Physics
On Spontaneous Symmetry Breaking In Discretized Light Cone Field Theory, David G. Robertson
On Spontaneous Symmetry Breaking In Discretized Light Cone Field Theory, David G. Robertson
Physics Faculty Scholarship
The problem of spontaneous symmetry breaking in scalar field theories quantized on the light cone is considered. Within the framework of "discretized" light-cone field theory, a constrained zero mode of the scalar field, which is necessary for obtaining a consistent dynamics, is responsible for supporting nonzero vacuum expectation values classically. This basic structure is shown to carry over to the quantum theory as well, and the consistency of the formalism is checked in an explicit perturbative calculation in (1+1)-dimensional φ4 theory.
Composite Operator Renormalization And The Trace Anomaly, David G. Robertson
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
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.