Do gluons interact with each other by the strong foce?












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I learned that strong force between quarks are mediated by gluons. What does this say about interactions between gluons? Do they interact with each other by the strong force?






particle-physics strong-force gluons







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    Yes. What does Wikipedia say?
    $endgroup$
    – Cosmas Zachos
    5 hours ago
















2












$begingroup$


I learned that strong force between quarks are mediated by gluons. What does this say about interactions between gluons? Do they interact with each other by the strong force?






particle-physics strong-force gluons







share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    Yes. What does Wikipedia say?
    $endgroup$
    – Cosmas Zachos
    5 hours ago














2












2








2





$begingroup$


I learned that strong force between quarks are mediated by gluons. What does this say about interactions between gluons? Do they interact with each other by the strong force?






particle-physics strong-force gluons







share|cite|improve this question









$endgroup$




I learned that strong force between quarks are mediated by gluons. What does this say about interactions between gluons? Do they interact with each other by the strong force?






particle-physics strong-force gluons




particle-physics strong-force gluons






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




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asked 5 hours ago









TaeNyFanTaeNyFan

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52912








  • 1




    $begingroup$
    Yes. What does Wikipedia say?
    $endgroup$
    – Cosmas Zachos
    5 hours ago














  • 1




    $begingroup$
    Yes. What does Wikipedia say?
    $endgroup$
    – Cosmas Zachos
    5 hours ago








1




1




$begingroup$
Yes. What does Wikipedia say?
$endgroup$
– Cosmas Zachos
5 hours ago




$begingroup$
Yes. What does Wikipedia say?
$endgroup$
– Cosmas Zachos
5 hours ago










1 Answer
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If you take a look at the QCD Lagrangian describing the strong force
begin{align}
mathcal{L}_{QCD}= overline{q}(i D_mu gamma^mu - m) q - frac{1}{4} G_{mu nu}^a G_a^{mu nu}, ,
end{align}
you can see in the term $frac{1}{4} G_{mu nu}^a G_a^{mu nu}$ we have a contraction of the gluon field strength tensor
begin{align}
G^a_{mu nu} = partial_mu A^a_nu - partial_nu A_mu^a + g f^{abc}A^b_mu A^c_nu, .
end{align}
For the non-abelian symmetry of QCD, $SU(3)_text{color}$, the structure constants $f^{abc}$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_text{em}$.
This means that if we carry out the contraction, we end up with terms containing 3 or even 4 gluon fields. These terms lead to Feynman diagrams where 3 or 4 gluons meet at one vertex, i.e. they interact with each other. So the short answer to this is: yes.






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    $begingroup$

    If you take a look at the QCD Lagrangian describing the strong force
    begin{align}
    mathcal{L}_{QCD}= overline{q}(i D_mu gamma^mu - m) q - frac{1}{4} G_{mu nu}^a G_a^{mu nu}, ,
    end{align}
    you can see in the term $frac{1}{4} G_{mu nu}^a G_a^{mu nu}$ we have a contraction of the gluon field strength tensor
    begin{align}
    G^a_{mu nu} = partial_mu A^a_nu - partial_nu A_mu^a + g f^{abc}A^b_mu A^c_nu, .
    end{align}
    For the non-abelian symmetry of QCD, $SU(3)_text{color}$, the structure constants $f^{abc}$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_text{em}$.
    This means that if we carry out the contraction, we end up with terms containing 3 or even 4 gluon fields. These terms lead to Feynman diagrams where 3 or 4 gluons meet at one vertex, i.e. they interact with each other. So the short answer to this is: yes.






    share|cite|improve this answer











    $endgroup$


















      4












      $begingroup$

      If you take a look at the QCD Lagrangian describing the strong force
      begin{align}
      mathcal{L}_{QCD}= overline{q}(i D_mu gamma^mu - m) q - frac{1}{4} G_{mu nu}^a G_a^{mu nu}, ,
      end{align}
      you can see in the term $frac{1}{4} G_{mu nu}^a G_a^{mu nu}$ we have a contraction of the gluon field strength tensor
      begin{align}
      G^a_{mu nu} = partial_mu A^a_nu - partial_nu A_mu^a + g f^{abc}A^b_mu A^c_nu, .
      end{align}
      For the non-abelian symmetry of QCD, $SU(3)_text{color}$, the structure constants $f^{abc}$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_text{em}$.
      This means that if we carry out the contraction, we end up with terms containing 3 or even 4 gluon fields. These terms lead to Feynman diagrams where 3 or 4 gluons meet at one vertex, i.e. they interact with each other. So the short answer to this is: yes.






      share|cite|improve this answer











      $endgroup$
















        4












        4








        4





        $begingroup$

        If you take a look at the QCD Lagrangian describing the strong force
        begin{align}
        mathcal{L}_{QCD}= overline{q}(i D_mu gamma^mu - m) q - frac{1}{4} G_{mu nu}^a G_a^{mu nu}, ,
        end{align}
        you can see in the term $frac{1}{4} G_{mu nu}^a G_a^{mu nu}$ we have a contraction of the gluon field strength tensor
        begin{align}
        G^a_{mu nu} = partial_mu A^a_nu - partial_nu A_mu^a + g f^{abc}A^b_mu A^c_nu, .
        end{align}
        For the non-abelian symmetry of QCD, $SU(3)_text{color}$, the structure constants $f^{abc}$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_text{em}$.
        This means that if we carry out the contraction, we end up with terms containing 3 or even 4 gluon fields. These terms lead to Feynman diagrams where 3 or 4 gluons meet at one vertex, i.e. they interact with each other. So the short answer to this is: yes.






        share|cite|improve this answer











        $endgroup$



        If you take a look at the QCD Lagrangian describing the strong force
        begin{align}
        mathcal{L}_{QCD}= overline{q}(i D_mu gamma^mu - m) q - frac{1}{4} G_{mu nu}^a G_a^{mu nu}, ,
        end{align}
        you can see in the term $frac{1}{4} G_{mu nu}^a G_a^{mu nu}$ we have a contraction of the gluon field strength tensor
        begin{align}
        G^a_{mu nu} = partial_mu A^a_nu - partial_nu A_mu^a + g f^{abc}A^b_mu A^c_nu, .
        end{align}
        For the non-abelian symmetry of QCD, $SU(3)_text{color}$, the structure constants $f^{abc}$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_text{em}$.
        This means that if we carry out the contraction, we end up with terms containing 3 or even 4 gluon fields. These terms lead to Feynman diagrams where 3 or 4 gluons meet at one vertex, i.e. they interact with each other. So the short answer to this is: yes.







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited 4 hours ago

























        answered 4 hours ago









        DomDoeDomDoe

        38418




        38418






























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