Remarks on Chern-Simons gauged O(3) sigma model in one space dimension

2019 ◽  
Vol 60 (2) ◽  
pp. 021508
Author(s):  
Guanghui Jin ◽  
Hyungjin Huh
Keyword(s):  
Sigma Model ◽  
Space Dimension ◽  
Chern Simons ◽  
One Space Dimension

scholarly journals Reduction of Chern-Simons-Schrödinger Systems in One Space Dimension

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Hyungjin Huh
Keyword(s):  
Space Dimension ◽  
Gauge Condition ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Schrödinger Systems ◽  
Chern Simons ◽  
One Space Dimension

We study Chern-Simons-Schrödinger systems in one space dimension. We show that Chern-Simons-Schrödinger and𝒩=2supersymmetric Chern-Simons-Schrödinger equations can be reduced, under the gauge conditionA1≡0, to equations ofϕ,ψonly which are coupled cubic Schrödinger systems.

scholarly journals Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

2015 ◽  
Vol 48 (4) ◽  
pp. 045207 ◽  
Author(s):  
L A González-Díaz ◽  
Alberto A Díaz ◽  
S Díaz-Solórzano ◽  
J R Darias
Keyword(s):  
Space Dimension ◽  
Dirac Type ◽  
One Space Dimension

scholarly journals LOW REGULARITY WELL-POSEDNESS OF THE DIRAC–KLEIN–GORDON EQUATIONS IN ONE SPACE DIMENSION

2008 ◽  
Vol 10 (02) ◽  
pp. 181-194 ◽  
Author(s):  
SIGMUND SELBERG ◽  
ACHENEF TESFAHUN
Keyword(s):  
Dirac Operator ◽  
Space Dimension ◽  
One Dimension ◽  
Well Posedness ◽  
Low Regularity ◽  
Klein Gordon ◽  
One Space Dimension

We extend recent results of Machihara and Pecher on low regularity well-posedness of the Dirac–Klein–Gordon (DKG) system in one dimension. Our proof, like that of Pecher, relies on the null structure of DKG, recently completed by D'Ancona, Foschi and Selberg, but we show that in 1d the argument can be simplified by modifying the choice of projections for the Dirac operator. We also show that the result is best possible up to endpoint cases, if one iterates in Bourgain–Klainerman–Machedon spaces.

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