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Hopf term induced by fermions | | Alexander G. Abanov
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16 May 2000 | | Journal: | Phys.Lett. B492 (2000) 321-323 | | Subject: | hep-th cond-mat | | Abstract: | We derive an effective action for Dirac fermions coupled to O(3) non-linear sigma-model (NLSM) through the Yukawa-type interaction. The nonperturbative (global) quantum anomaly of this model results in a Hopf term for the effective NLSM. We obtain this term using the ``embedding’’ of the CP$^1$ model into the CP$^M$ generalization of the model which makes the quantum anomaly perturbative. This perturbative anomaly is calculated by means of a gradient expansion of a fermionic determinant and is given by the Chern-Simons term for an auxiliary gauge field. | | Source: | arXiv, hep-th/0005150 | | Services: | Forum | Review | PDF | Favorites | |
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