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

نویسندگان

  • V. A. Fateev
  • S. L. Lukyanov
چکیده

We study ’t Hooft’s integral equation determining the meson masses Mn in multicolor QCD2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m1 = m2 = g/ √ π. Among our results is 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 the quark masses, and we announce some preliminary results for m1 = m2 (Eqs. (6.1) and (6.3)).

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Two-dimensional Yang–Mills theory in the leading 1/N expansion revisited

We obtain a formal solution of an integral equation for qq̄ bound states, depending on a parameter η which interpolates between ’t Hooft’s (η = 0) and Wu’s (η = 1) equations. We also get an explicit approximate expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with ’t Hooft’s as long a...

متن کامل

Ghost decoupling in ’t Hooft spectrum for mesons

We show that the replacement of the “instantaneous” ’t Hooft’s potential with the causal form suggested by equal time canonical quantization in lightcone gauge, which entails the occurrence of negative probability states, does not change the bound state spectrum when the difference is treated as a single insertion in the kernel. 11.10.St,11.15.Pg Typeset using REVTEX 1 In 1974 G. ’t Hooft [1] p...

متن کامل

The light baryon spectrum in a relativistic quark model with instanton-induced quark forces

This is the third of a series of papers treating light baryon resonances up to 3 GeV within a relativistically covariant quark model based on the Bethe-Salpeter equation with instantaneous twoand three-body forces. In this last paper we extend our previous work [2] on non-strange baryons to a prediction of the complete strange baryon spectrum and a detailed comparison with experiment. We apply ...

متن کامل

Generalized Two-Dimensional QCD

We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Schwinger model generalizes to give mesons interacting through a general LandauGinzburg potential. We then show how for a subclass of SU(N) theories, ’t Hooft’s solution of large N two-dimensional QCD can be generalized...

متن کامل

On a classification of mesons

We give a mass formula for computing the mass spectrum of mesons. By this formula we show that there are many mesons with their masses corresponding to a prime number. In particular we show that all strange mesons are with their masses corresponding to a prime number. With these prime numbers indexing the mesons we give a classification of mesons. We set up a knot model of mesons to derive this...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009