Pure Yang-Mills theory in D=1+1 is a theoretical model in particle physics that describes the interactions between elementary particles. It is a simplified version of Yang-Mills theory, which is a mathematical framework used to describe the strong and weak nuclear forces.
In this context, D=1+1 refers to the dimensions of space and time in which the theory is being studied. D=1+1 means that there is one spatial dimension and one time dimension, making it a two-dimensional theory.
Pure Yang-Mills theory in D=1+1 is a simplified version of the more complex Yang-Mills theory, which includes additional dimensions and interactions. It also does not include the Higgs boson, which is a fundamental particle in the Standard Model of particle physics.
Pure Yang-Mills theory in D=1+1 has been used in theoretical studies of quantum field theory, string theory, and other areas of theoretical physics. It has also been applied in condensed matter physics to study the behavior of certain materials.
One of the main challenges in studying Pure Yang-Mills theory in D=1+1 is that it is a highly idealized model and does not fully capture the complexities of the real world. Additionally, the mathematical calculations involved in this theory can be quite difficult and require advanced techniques.