Bosons and Mesons - Fundamental or Compound?

JLampton
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The Standard Model defines Bosons, along with Fermions, as Fundamental Particles.

At the same time, Mesons, which include Bosons, are supposed to be a compound made up of a quark and an anti-quark.

So, which is it? Is a Boson a fundamental particle or a compound (ie.Hadron)?
 
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Bosons and Fermions can be either fundamental or composite. The fundamental fermions are leptons and quarks. The fundamental bosons are photons, gluons, weak force carriers (W and Z), and gravitons (theoretical).
Bosons have integer spin, fermions have half-integer spins. For example mesons (quark + anti-quark) are bosons, while baryons (3 quarks) are fermions. Atoms may be bosons or fermions, depending on whether the number of neutrons is even (bosons) or odd (fermions).
 
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I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
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