On the mass spectrum in 't Hooft's 2D model of mesons

V. A. Fateev; S. L. Lukyanov; A. B. Zamolodchikov

doi:10.1088/1751-8113/42/30/304012

On the mass spectrum in 't Hooft's 2D model of mesons

V. A. Fateev, S. L. Lukyanov, A. B. Zamolodchikov

School of Arts and Sciences, New High Energy Theory Center

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We study 't Hooft's integral equation determining the meson masses M _n in multicolor QCD₂. In this paper we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses . Among our results is the systematic large-n expansion, and exact sum rules for M_n. Although we explicitly discuss only the special case, the method applies to the general case of quark masses, and we announce some preliminary results for m₁ = m₂ (equations (6.1) and (6.3)).

Original language	English (US)
Article number	304012
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	30
DOIs	https://doi.org/10.1088/1751-8113/42/30/304012
State	Published - 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/42/30/304012

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abstract = "We study 't Hooft's integral equation determining the meson masses M n in multicolor QCD2. In this paper we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses . Among our results is the systematic large-n expansion, and exact sum rules for Mn. Although we explicitly discuss only the special case, the method applies to the general case of quark masses, and we announce some preliminary results for m1 = m2 (equations (6.1) and (6.3)).",

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PY - 2009

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AB - We study 't Hooft's integral equation determining the meson masses M n in multicolor QCD2. In this paper we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses . Among our results is the systematic large-n expansion, and exact sum rules for Mn. Although we explicitly discuss only the special case, the method applies to the general case of quark masses, and we announce some preliminary results for m1 = m2 (equations (6.1) and (6.3)).

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On the mass spectrum in 't Hooft's 2D model of mesons

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