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- W1964053669 abstract "We derive a local, gauge invariant action for the SU(N) non-linear sigma-model in 2+1 dimensions. In this setting, the model is defined in terms of a self-interacting pseudo vector-field theta_mu, with values in the Lie algebra of the group SU(N). Thanks to a non-trivially realized gauge invariance, the model has the correct number of degrees of freedom: only one polarization of theta_mu, like in the case of the familiar Yang-Mills theory in 2+1 dimensions. Moreover, since theta_mu is a pseudo-vector, the physical content corresponds to one massless pseudo-scalar field in the Lie algebra of SU(N), as in the standard representation of the model. We show that the dynamics of the physical polarization corresponds to that of the SU(N) non-linear sigma model in the standard representation, and also construct the corresponding BRST invariant gauge-fixed action." @default.
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- W1964053669 date "2003-06-05" @default.
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- W1964053669 title "A gauge-invariant formulation for theSU(N) nonlinear -model in 2 1 dimensions" @default.
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- W1964053669 doi "https://doi.org/10.1088/0305-4470/36/24/319" @default.
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