most citedCanonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach

9 citations · 9 across the 1 of their papers we have counts for

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math-ph2019★ 9 cited

Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach

Arnaud Brothier, Alexander Stottmeister

We present a mathematically rigorous canonical quantization of Yang-Mills theory in 1+1 dimensions (YM) by operator-algebraic methods. The latter are based on Hamiltonian l…

math-ph2019

Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups

Arnaud Brothier, Alexander Stottmeister

Using ideas from Jones, lattice gauge theory and loop quantum gravity, we construct 1+1-dimensional gauge theories on a spacetime cylinder. Given a separable compact group , we…