Tensor Networks for nonabelian Gauge Theory


Milsted, A. (2014). Tensor Networks for nonabelian Gauge Theory. Perimeter Institute. https://pirsa.org/14110178


Milsted, Ashley. Tensor Networks for nonabelian Gauge Theory. Perimeter Institute, Nov. 25, 2014, https://pirsa.org/14110178


          @misc{ pirsa_14110178,
            doi = {},
            url = {https://pirsa.org/14110178},
            author = {Milsted, Ashley},
            keywords = {Condensed Matter},
            language = {en},
            title = {Tensor Networks for nonabelian Gauge Theory},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {nov},
            note = {PIRSA:14110178 see, \url{https://pirsa.org}}


We present an analytic, gauge invariant tensor network ansatz for the ground state of lattice Yang-Mills theory for nonabelian gauge groups. It naturally takes the form of a MERA, where the top level is the strong coupling limit of the lattice theory. Each layer performs a fine-graining operation defined in a fixed way followed by an optional step of adiabatic evolution, resulting in the ground state at an intermediate coupling. The ansatz is very much in the spirit of Kogut and Susskind's Hamiltonian approach to understanding confinement by starting from the strong coupling limit and perturbing, but exploiting a tensor network structure to go beyond perturbative approaches.