Learning more principles from the 2D Ising model: The energy-momentum tensor and the light-cone structuring

The two-dimensional Ising model has been an incomparable workground for theoretical developments. One of the distinctive features is that its Z2-even sector can be described by free Majorana fermion, while its Z2-odd sector includes the spin variable “$\sigma$” that exhibits rational exponent at criticality. Therefore, while the theory is simple enough to be solvable, its full treatment requires nonperturbative methods. In this talk, we report a few preliminary results for the two studies, each of which aiming for broader applications in QFT and/or CFT: Identification of the energy-momentum tensor with the spin variable, and structuring of the light cone in real-time correlators.