2d QCD and Integrability, Part II: Generalized QCD
| Autor: | Ambrosino, Federico, Komatsu, Shota |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We extend our study of integrable structures in large $N_c$ QCD$_2$ to a broad class of theories called the generalized QCD, which are given by the Lagrangian $\mathcal{L}\propto {\rm tr}\,B\wedge F- {\rm tr}\,V(B)$ coupled to quarks in the fundamental representation. We recast the Bethe-Salpeter equation for the meson spectrum into a TQ-Baxter equation and determine a transfer matrix in a closed form for any given polynomial $V(B)$. Using this reformulation, we derive the asymptotic expansion of energy levels and wavefunctions. Examining the analytic structure of the spectrum as a function of the coefficients of $V(B)$, we determine the region of couplings where the theory admits a positive and discrete spectrum of mesons. Furthermore, we uncover a multi-sheeted structure with infinitely many multi-critical points, where several mesons become simultaneously massless. Lastly, we illustrate that this structure persists in the large-representation limit of the generalized QCD with the SU(2) gauge group. Comment: 62 pages; v2: Added Appendix E: "Non-critical spontaneous symmetry breaking of PT-symmetry", typos corrected |
| Databáze: | arXiv |
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