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

Institute for Theoretical Physics

LUPM-UMR 5299, CNRS, Université Montpellier
Landau Inst. for Theoretical Physics
Rutgers - The State University of New Jersey, New Brunswick

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

27 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
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

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title = "On the mass spectrum in 't Hooft's 2D model of mesons",

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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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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DO - 10.1088/1751-8113/42/30/304012

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

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