Noncommutative nonlinear sigma models and integrability

We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and without the Wess-Zumino-Witten term and a supersymmetric extension of the CP1 submodel in noncommutative spacetime [i.e., in superspaces A(theta)(R1+1 vertical bar 2), A(theta)(R2+1 vertical bar(2))] are also examined in detail and their infinitely many conserved currents are given in a systematic manner. Finally, we discuss the solutions of the aforementioned submodels with or without supersymmetry.


BASKAL, S; DERELI, T (IOP Publishing, 1993-04-01)
The variational field equations and the covariantly conserved energy-momentum tensor of a higher-derivative effective Yang-Mills theory are given. A class of static spherically symmetric gauge field configurations that follow from the Wu-Yang ansatz is considered.
Pseudospin and spin symmetry in Dirac-Morse problem with a tensor potential
AYDOĞDU, OKTAY; Sever, Ramazan (Elsevier BV, 2011-09-14)
Under the conditions of the pseudospin and spin symmetry, approximate analytical solutions of the Dirac-Morse problem with Coulomb-like tensor potential are presented. The energy eigenvalue equations are found and corresponding radial wave functions are obtained in terms of confluent hypergeometric functions. The energy eigenvalues are calculated numerically in the absence and presence of the tensor potential. We also investigate the contribution of the potential parameters to the energy splitting of the ps...
Scalar-meson production in nucleon-nucleon collisions near threshold
Rekalo, MP; Tomasi-Gustafsson, E (Springer Science and Business Media LLC, 2003-12-01)
We establish the model-independent spin structure of the matrix elements for the near-threshold scalar-meson production in pp and np collisions, when the final particles are emitted in S-state. Polarization phenomena are derived in a general form. The properties of the t-channel dynamics, which is based on different meson exchanges, are studied in terms of the s-channel parametrization of the matrix element. The predictions of a model, based on pi + sigma exchanges are also presented.
Sigma(Q)Lambda(Q)pi coupling constant in light cone QCD sum rules
Azizi, K.; Bayar, M.; Özpineci, Altuğ (American Physical Society (APS), 2009-03-01)
The strong coupling constants g(Sigma Q)Lambda(Q)pi (Q=b and c) are studied in the framework of the light cone QCD sum rules using the most general form of the baryonic currents. The predicted coupling constants are used to estimate the decay widths for the Sigma(Q)->Lambda(Q)pi decays which are compared with the predictions of the other approaches and existing experimental data.
Angular coefficients of Z bosons produced in pp collisions at root S=8 TeV and decaying to mu(+)mu(-) as a function of transverse momentum and rapidity
Khachatryan, V.; et. al. (Elsevier BV, 2015-11-01)
Measurements of the five most significant angular coefficients, A(0) through A(4), for Z bosons produced in pp collisions at root S = 8 TeV and decaying to mu(+)mu(-) are presented as a function of the transverse momentum and rapidity of the Z boson. The integrated luminosity of the dataset collected with the CMS detector at the LHC corresponds to 19.7 fb(-1). These measurements provide comprehensive information about the Z boson production mechanisms, and are compared to the QCD predictions at leading orde...
Citation Formats
S. Kürkcüoğlu, “Noncommutative nonlinear sigma models and integrability,” PHYSICAL REVIEW D, pp. 0–0, 2008, Accessed: 00, 2020. [Online]. Available: