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arroy_0205
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Can anybody please suggest some references (preferably review articles or lecture notes etc, freely available online) for learning linear and nonlinear sigma models and their applications in particle physics?
A nonlinear sigma model is a theoretical framework used in physics to describe the behavior of fields that are non-linearly interacting with each other. It is commonly used in quantum field theory and has applications in various areas of physics, such as particle physics and condensed matter physics.
Some commonly cited references for nonlinear sigma model include the original paper by Gell-Mann and Levy (1960) and the book "Quantum Field Theory in a Nutshell" by A. Zee (2010). Other notable references include the book "Quantum Field Theory" by M. Srednicki (2007) and the review article "Nonlinear sigma models in (1 + 1)-dimensions" by C. G. Callan and E. Witten (1985).
The nonlinear sigma model has been used to describe a wide range of physical phenomena, including the behavior of elementary particles in high energy physics and the properties of condensed matter systems. It has also been used in the development of string theory, a theoretical framework that attempts to unify all fundamental forces in nature.
Nonlinear sigma model has been applied in various areas of physics, such as quantum chromodynamics (QCD), which describes the strong interaction between quarks and gluons, and the study of topological phases in condensed matter systems. It has also been used in the development of supersymmetric theories, which have applications in high energy physics and cosmology.
Although the nonlinear sigma model has been successful in describing many physical phenomena, it also has its limitations. For example, it does not take into account the effects of quantum fluctuations, which can have a significant impact on the behavior of physical systems. Additionally, it is not applicable to all physical systems and may break down in certain extreme conditions, such as at high energies or temperatures.