Abstract:
We consider the 't Hooft equation for bound states in the two-dimensional quantum chromodynamics in the limit of an infinite number of colors. In the case of quarks with unequal masses tending to infinity, we obtain an approximation to the low-energy part of the spectrum and the corresponding wave functions. We show that as in the case of equal masses, the 't Hooft equation in the first approximation reduces to the Schrödinger equation with a linear potential, i.e., to the equation for a particle in a "triangular" potential well. We also discuss the possibility of obtaining corrections to this approximation.
Citation:
R. A. Zubov, S. A. Paston, E. V. Prokhvatilov, “Exact solution of the 't Hooft equation in the limit of heavy quarks with unequal masses”, TMF, 184:3 (2015), 449–455; Theoret. and Math. Phys., 184:3 (2015), 1281–1286
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\paper Exact solution of the~'t~Hooft equation in the~limit of heavy quarks with unequal masses
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\pages 449--455
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\jour Theoret. and Math. Phys.
\yr 2015
\vol 184
\issue 3
\pages 1281--1286
\crossref{https://doi.org/10.1007/s11232-015-0335-6}
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Linking options:
https://www.mathnet.ru/eng/tmf8925
https://doi.org/10.4213/tmf8925
https://www.mathnet.ru/eng/tmf/v184/i3/p449
This publication is cited in the following 3 articles:
Adrien Florio, Andreas Weichselbaum, Semeon Valgushev, Robert D. Pisarski, “Mass gaps of a
Z3
gauge theory with three fermion flavors in
1+1
dimensions”, Phys. Rev. D, 110:4 (2024)
Meseret Asrat, “(1+1)D
QCD with heavy adjoint quarks”, Phys. Rev. D, 107:10 (2023)
Umeeda H., “Quark-Hadron Duality For Heavy Meson Mixings in the `T Hooft Model”, J. High Energy Phys., 2021, no. 9, 066
Citation in format AMSBIB
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