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Critical Dimensions For Chiral Bosons, Luca Mezincescu, Rafael I. Nepomechie Jan 1988

Critical Dimensions For Chiral Bosons, Luca Mezincescu, Rafael I. Nepomechie

Physics Articles and Papers

We give the Lagrangian formulation of a Bose model in 1+1 dimensions which describes a free chiral Lie-algebra-valued current. This model is a non-Abelian generalization of the chiral scalar model of Siegel. Both the Abelian and non-Abelian actions have a gauge invariance, which becomes anomalous when the models are quantized. The condition that this anomaly be canceled coincides with the string no-ghost condition.


Alternative Feynman-Diagram Method For The General-Spin Kondo Problem, S. E. Barnes Jan 1988

Alternative Feynman-Diagram Method For The General-Spin Kondo Problem, S. E. Barnes

Physics Articles and Papers

We introduce a new method of replacing spin operators with pseudofermions. For a spin value S there are 2S pseudofermions each of which can have spin ‘‘up’’ or ‘‘down’’. In contrast to the standard Abrikosov method which has 2S+1 inequivalent fermions, i.e., one for each Sz value, the present pairs are all equivalent. It follows that the general spin expression is obtained by multiplying the S=(1/2 result by a ceratin combinational factor. This aids in the construction of rotationally invariant solutions for the general-spin Kondo problem for the case when n≤2S, where n is the number of conduction-electron scattering …