Lettere al Nuovo Cimento (1971-1985)

, Volume 24, Issue 10, pp 351–354 | Cite as

Are leptoquark bosons confined?

  • V. Elias


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  1. (1).
    G. S. LaRue, W. M. Fairbank andA. F. Hebard:Phys. Rev. Lett.,38, 1011 (1977);P. C. M. Yock:Phys. Rev. D (to appear).ADSCrossRefMATHGoogle Scholar
  2. (2).
    Justification for these widely held beliefs is given inR. N. Mohapatra, J. C. Pati andA. Salam:Phys. Rev. D,13, 1733 (1976).ADSCrossRefGoogle Scholar
  3. (3).
    J. C. Pati andA. Salam:Phys. Rev. D,10, 275 (1974).ADSCrossRefGoogle Scholar
  4. (4).
    J. C. Pati andA. Salam:Phys. Rev. D,8, 1240 (1973).ADSCrossRefGoogle Scholar
  5. (5).
    The V15 generator eventually contributes to the electromagnetic currents, as described in ref. (4). and inC. Elias andA. R. Swift:Phys. Rev. D,15, 1937 (197). We assume for simplicity that color-SU 4 is broken toSU 3; hence V15 acquires a mass comparable to that of the leptoquark bosons. A more physical approach is to haveSU 4×U 1 break toSU 8×U 1 e.m., whereU 1 e.m.is a linear combination of the originalU 1 and the V15 generator ofSU 4.ADSCrossRefGoogle Scholar
  6. (6).
    D. J. Gross andF. Wilczek:Phys. Rev. D,8, 3633 (1973).ADSCrossRefGoogle Scholar
  7. (7).
    H. D. Politzer:Phys. Rev. Lett.,30, 1346 (1973).ADSCrossRefGoogle Scholar
  8. (8).
    These arguments are the same as those used to justify the decoupling theorem (T. Appelquist andJ. Carazzone:Phys. Rev. D,11, 2856 (1975)). For example, supposeSU nis broken toSU 3 at a symmetry breaking mass scaleM. If μ≪M, loops involvingSU ngauge bosons not contained in theSU 3-gauge multiplet do not contribute to the runningSU 3 coupling constant (i.e., are decoupled fromSU 3) for precisely the reasons stated in the text. A difference between such conventional applications of the decoupling theorem (in which external particles belong to multiplets of a preserved subgroup) and the application with external LQB-bosons, is that the evolution of the running LQB mass [μ(m x)] must also be considered to solve the renormalization group equation.ADSCrossRefGoogle Scholar
  9. (9).
    The relationship between concepts of confiniment and infra-red slavery is discussed in sect.3 ofW. Marciano andH. Pagels:Phys. Rep.,36 C, 139 (1977).Google Scholar

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© Società Italiana di Fisica 1979

Authors and Affiliations

  • V. Elias
    • 1
  1. 1.International Centre for Theoretical PhysicsTriesteItaly

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