The Non-Linear Sigma Model in the 1/N Expansion and the Inverse Scattering Transformation in the Angular Momentum

1990 ◽  
pp. 353-357
Author(s):  
H.J. de VEGA
Keyword(s):  
Angular Momentum ◽  
Inverse Scattering ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Non Linear

scholarly journals On differential operators and unifying relations for 1-loop Feynman integrands

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Kang Zhou
Keyword(s):  
Sigma Model ◽  
Differential Operators ◽  
Linear Sigma Model ◽  
Tree Level ◽  
Maxwell Theory ◽  
Scalar Theory ◽  
Yang Mills ◽  
Loop Level ◽  
Wide Range ◽  
Non Linear

Abstract We generalize the unifying relations for tree amplitudes to the 1-loop Feynman integrands. By employing the 1-loop CHY formula, we construct differential operators which transmute the 1-loop gravitational Feynman integrand to Feynman integrands for a wide range of theories, including Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory, bi-adjoint scalar theory, non-linear sigma model, as well as special Galileon theory. The unified web at 1-loop level is established. Under the well known unitarity cut, the 1-loop level operators will factorize into two tree level operators. Such factorization is also discussed.

Non-linear sigma model and zero mass bound states of QCD2

1984 ◽  
Vol 142 (1-2) ◽  
pp. 64-68 ◽  
Author(s):  
N.S. Craigie ◽  
W. Nahm
Keyword(s):  
Bound States ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Zero Mass ◽  
Non Linear
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