Three-Loop Calculations and Low-Energy Effective Action in the Non-Linear Sigma Model

1990 ◽  
Vol 13 (3) ◽  
pp. 383-392
Author(s):  
Lin Zhang ◽  
Shi-ke Hu
Keyword(s):  
Effective Action ◽  
Sigma Model ◽  
Low Energy ◽  
Linear Sigma Model ◽  
Non Linear

scholarly journals Finite density $O(3)$ non-linear sigma model and low energy physics

2016 ◽  
Author(s):  
Thomas Kloiber ◽  
Falk Bruckmann ◽  
Christof Gattringer ◽  
Tin Sulejmanpasic
Keyword(s):  
Sigma Model ◽  
Low Energy ◽  
Linear Sigma Model ◽  
Finite Density ◽  
Non Linear ◽  
Energy Physics

The finite effective action in the non-linear sigma model with torsion to two-loop order

1991 ◽  
Vol 349 (2) ◽  
pp. 494-562 ◽  
Author(s):  
M. Leblanc ◽  
R.B. Mann ◽  
D.G.C. McKeon ◽  
T.N. Sherry
Keyword(s):  
Effective Action ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Loop Order ◽  
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.

PROCEDURE FOR GENERATING EQUATIONS IN LINEAR SIGMA MODEL

2011 ◽  
Vol 26 (14) ◽  
pp. 2327-2352 ◽  
Author(s):  
AMIR H. FARIBORZ
Keyword(s):  
Scattering Amplitudes ◽  
Sigma Model ◽  
Point Interaction ◽  
Low Energy ◽  
Linear Sigma Model ◽  
Pseudoscalar Mesons ◽  
Decay Widths ◽  
Symmetry Breaking Term ◽  
The Masses ◽  
Breaking Term

A procedure for implementation of the generating equations in the linear sigma model of low energy QCD is presented. For any explicit symmetry breaking term, this procedure computes the masses of scalar and pseudoscalar mesons as well as various three-point and four-point interaction vertices that are needed in calculation of different decay widths and scattering amplitudes.

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