Higher algebras and mesonic spectrum in two-dimensional QCD
E. Abdalla, M.C.B. Abdalla
TL;DR
This paper constructs composite operators in two-dimensional bosonized QCD that follow a $W_$ algebra, revealing integrability and a Regge-like mass spectrum, bridging bosonic and fermionic descriptions.
Contribution
It introduces a novel algebraic framework for composite operators in 2D QCD, demonstrating integrability and connecting bosonic and fermionic formulations.
Findings
Operators obey a $W_$ algebra
Model exhibits integrability features
Mass spectrum follows Regge behavior
Abstract
We construct composite operators in two-dimensional bosonized QCD, which obey a algebra, and discuss their relation to analogous objects recently obtained in the fermionic language. A complex algebraic structure is unravelled, supporting the idea that the model is integrable. For singlets we find a mass spectrum obeying the Regge behavior.
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