CANONICAL STRUCTURE OF THE CPN SIGMA MODEL IN 1+2 DIMENSIONS

Date

1991-05-16

Author

Pak, Namık Kemal

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The CP(N) model with a theta-term 1 + 2 dimensions is quantized canonically. By employing a suitable parametrization we demonstrate that solitons carry theta-dependent fractional spins.

Subject Keywords

Fractional statistics, Quantization, Spin

URI

https://hdl.handle.net/11511/62392

Journal

PHYSICS LETTERS B

DOI

https://doi.org/10.1016/0370-2693(91)91628-9

Collections

Department of Physics, Article

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HAMILTONIAN QUANTIZATION OF THE CP1 SIGMA MODEL IN 1+2 DIMENSIONS Pak, Namık Kemal (1992-09-01) CP1 sigma model with Hopf interaction in 1 + 2 dimensions is quantized canonically using a lifted formulation. In this formulation the Hopf invariant is still a local functional of the fields. However, the constraint structure is as simple as that of a U(1) gauge theory without any nonlinearity constraints. As a by-product, the theta-dependent fractional spin is computed in this local setting.
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TOPOLOGY AND FRACTIONAL SPIN IN THE (2+1)-DIMENSIONAL SIGMA MODEL Pak, Namık Kemal; PERCACCI, R (1991-02-15) We discuss the appearance of theta vacua and solitons with fractional spin in the S2-valued nonlinear sigma model in two space dimensions. We use a formulation of the sigma model in terms of Euler angles and work within the context of canonical quantization. We show that when the model is coupled to an SU(2) topologically massive theory, the theta sectors disappear and the topological mass is not quantized.
Dual metrics and nongeneric supersymmetries for a class of Siklos space-times Baleanu, D; Baskal, S (2002-10-20) The presence of Killing-Yano tensors implies the existence of nongeneric supercharges in spinning point particle theories on curved backgrounds. Dual metrics axe defined through their associated nondegenerate Killing tensors of valence two. Siklos space-times, which are the only nontrivial Einstein spares conformal to nonflat pp-waves are investigated with regard to the existence of their corresponding Killing and Killing-Yano, tensors. It is found that a class of Siklos space-times admit dual metrics and n...
Universal extra dimensions and Kaluza-Klein bound states Carone, CD; Conroy, JM; Sher, M; Turan, İsmail (American Physical Society (APS), 2004-04-01) We study the bound states of the Kaluza-Klein (KK) excitations of quarks in certain models of universal extra dimensions. Such bound states may be detected at future lepton colliders in the cross section for the pair production of KK quarks near threshold. For typical values of model parameters, we find that "KK quarkonia" have widths in the 10-100 MeV range, and production cross sections of the order of a few picobarns for the lightest resonances. Two body decays of the constituent KK quarks lead to distin...

Citation Formats

N. K. Pak, “CANONICAL STRUCTURE OF THE CPN SIGMA MODEL IN 1+2 DIMENSIONS,” PHYSICS LETTERS B, pp. 377–380, 1991, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62392.