scholarly journals Comment on “Spin Transport Properties of the Quantum One-Dimensional Non-Linear Sigma Model”

2000 ◽  
Vol 69 (8) ◽  
pp. 2712-2713 ◽  
Author(s):  
Subir Sachdev ◽  
Kedar Damle
Keyword(s):  
Transport Properties ◽  
Sigma Model ◽  
Spin Transport ◽  
Linear Sigma Model ◽  
One Dimensional ◽  
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

ABOUT THE CORRELATION LENGTHS OF QUANTUM HEISENBERG FERRO AND ANTIFERROMAGNETS

1991 ◽  
Vol 05 (08) ◽  
pp. 593-596 ◽  
Author(s):  
TH. JOLICOEUR ◽  
J.C. LE GUILLOU
Keyword(s):  
Group Treatment ◽  
Sigma Model ◽  
Linear Sigma Model ◽  
Square Lattice ◽  
Heisenberg Ferromagnet ◽  
Correlation Lengths ◽  
Mass Gap ◽  
Lattice Quantum ◽  
Non Linear ◽  
Bethe Ansatz Solution

The mass gap for the two-dimensional O (3) non-linear sigma model has been recently extracted from the Bethe Ansatz solution. Combining this result with the Renormalization Group treatment of the Quantum Heisenberg Ferromagnet as well as the Quantum non-linear sigma model we present new formulas for the correlation length of the square lattice quantum ferro and antiferromagnet.

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