Is a Higgs Boson Related to the Higgs Field?

spacecadet11
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Hello. I am an amateur. Is a Higgs boson to the Higgs field the same as an Electron(oops boson)to the electric field?

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SC
 
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No, a Higgs boson is to the Higgs field as an electron is to the electron field (not the electric) field. In quantum field theory, a Higgs boson is an excitation ("quantum") of the Higgs field; an electron is an excitation of the electron field. The photon is the particle that is associated with electromagnetic field.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
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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