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Theta-terms in nonlinear sigma-models | | A. G. Abanov
; P. B. Wiegmann
; | | Date: |
4 Nov 1999 | | Journal: | Nucl.Phys. B570 (2000) 685-698 | | Subject: | hep-th cond-mat hep-ph | | Abstract: | We trace the origin of theta-terms in non-linear sigma-models as a nonperturbative anomaly of current algebras. The non-linear sigma-models emerge as a low energy limit of fermionic sigma-models. The latter describe Dirac fermions coupled to chiral bosonic fields. We discuss the geometric phases in three hierarchies of fermionic sigma-models in spacetime dimension (d+1) with chiral bosonic fields taking values on d-, d+1-, and d+2-dimensional spheres. The geometric phases in the first two hierarchies are theta-terms. We emphasize a relation between theta-terms and quantum numbers of solitons. | | Source: | arXiv, hep-th/9911025 | | Services: | Forum | Review | PDF | Favorites | |
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