Matches in SemOpenAlex for { <https://semopenalex.org/work/W3041908401> ?p ?o ?g. }
- W3041908401 abstract "We consider a class of quantum field theories and quantum mechanics, which we couple to $mathbb Z_N$ topological QFTs, in order to classify non-perturbative effects in the original theory. The $mathbb Z_N$ TQFT structure arises naturally from turning on a classical background field for a $mathbb Z_N$ 0- or 1-form global symmetry. In $SU(N)$ Yang-Mills theory coupled to $mathbb Z_N$ TQFT, the non-perturbative expansion parameter is $exp[-S_I/N]= exp[-{8 pi^2}/{g^2N}]$ both in the semi-classical weak coupling domain and strong coupling domain, corresponding to a fractional topological charge configurations. To classify the non-perturbative effects in original $SU(N)$ theory, we must use $PSU(N)$ bundle and lift configurations (critical points at infinity) for which there is no obstruction back to $SU(N)$. These provide a refinement of instanton sums: integer topological charge, but crucially fractional action configurations contribute, providing a TQFT protected generalization of resurgent semi-classical expansion to strong coupling. Monopole-instantons (or fractional instantons) on $T^3 times S^1_L$ can be interpreted as tunneling events in the 't Hooft flux background in the $PSU(N)$ bundle. The construction provides a new perspective to the strong coupling regime of QFTs and resolves a number of old standing issues, especially, fixes the conflicts between the large-$N$ and instanton analysis. We derive the mass gap at $theta=0$ and gaplessness at $theta=pi$ in $mathbb{CP}^{1}$ model, and mass gap for arbitrary $theta$ in $mathbb{CP}^{N-1}, N geq 3$ on $mathbb R^2$." @default.
- W3041908401 created "2020-07-16" @default.
- W3041908401 creator A5053030256 @default.
- W3041908401 date "2020-07-08" @default.
- W3041908401 modified "2023-09-27" @default.
- W3041908401 title "Strongly coupled QFT dynamics via TQFT coupling" @default.
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