Tensor network approach to two-dimensional Yang–Mills theories
| Autor: | Masafumi Fukuma, Nobuyuki Matsumoto, Daisuke Kadoh |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
B64 Lattice QCD Group (mathematics) Structure (category theory) General Physics and Astronomy Yang–Mills existence and mass gap Renormalization group Gauge (firearms) Character (mathematics) B01 Spontaneous symmetry breaking Tensor (intrinsic definition) Singular value decomposition B38 Lattice field theories A20 The algorithm of numerical calculations Mathematical physics |
| Zdroj: | Progress of Theoretical and Experimental Physics. 2021(12) |
| ISSN: | 2050-3911 |
| Popis: | We propose a novel tensor network representation for two-dimensional Yang–Mills theories with arbitrary compact gauge groups. In this method, tensor indices are given directly by group elements with no direct use of the character expansion. We apply the tensor renormalization group method to this tensor network for SU(2) and SU(3), and find that the free energy density and the energy density are accurately evaluated. We also show that the singular value decomposition of a tensor has a group-theoretic structure and can be associated with the character expansion. |
| Databáze: | OpenAIRE |
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