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2

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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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asked 5 hours ago

TaeNyFanTaeNyFan

52912

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• 
  
  
  

  
  1
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

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

asked 5 hours ago

TaeNyFanTaeNyFan

52912

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

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

  
  
  
  

add a comment | 

$begingroup$

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

asked 5 hours ago

TaeNyFanTaeNyFan

52912

$endgroup$

share|cite|improve this question

asked 5 hours ago

TaeNyFanTaeNyFan

52912

share|cite|improve this question

asked 5 hours ago

TaeNyFanTaeNyFan

52912

asked 5 hours ago

TaeNyFanTaeNyFan

52912

asked 5 hours ago

TaeNyFanTaeNyFan

52912

1 Answer
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4

$begingroup$

If you take a look at the QCD Lagrangian describing the strong force
beginalign
mathcalL_QCD= overlineq(i D_mu gamma^mu - m) q - frac14 G_mu nu^a G_a^mu nu, ,
endalign
you can see in the term $frac14 G_mu nu^a G_a^mu nu$ we have a contraction of the gluon field strength tensor
beginalign
G^a_mu nu = partial_mu A^a_nu - partial_nu A_mu^a + g f^abcA^b_mu A^c_nu, .
endalign
For the non-abelian symmetry of QCD, $SU(3)_textcolor$, the structure constants $f^abc$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_textem$.
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

edited 4 hours ago

answered 4 hours ago

DomDoeDomDoe

38418

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4

$begingroup$

If you take a look at the QCD Lagrangian describing the strong force
beginalign
mathcalL_QCD= overlineq(i D_mu gamma^mu - m) q - frac14 G_mu nu^a G_a^mu nu, ,
endalign
you can see in the term $frac14 G_mu nu^a G_a^mu nu$ we have a contraction of the gluon field strength tensor
beginalign
G^a_mu nu = partial_mu A^a_nu - partial_nu A_mu^a + g f^abcA^b_mu A^c_nu, .
endalign
For the non-abelian symmetry of QCD, $SU(3)_textcolor$, the structure constants $f^abc$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_textem$.
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

edited 4 hours ago

answered 4 hours ago

DomDoeDomDoe

38418

$endgroup$

add a comment | 

4

$begingroup$

If you take a look at the QCD Lagrangian describing the strong force
beginalign
mathcalL_QCD= overlineq(i D_mu gamma^mu - m) q - frac14 G_mu nu^a G_a^mu nu, ,
endalign
you can see in the term $frac14 G_mu nu^a G_a^mu nu$ we have a contraction of the gluon field strength tensor
beginalign
G^a_mu nu = partial_mu A^a_nu - partial_nu A_mu^a + g f^abcA^b_mu A^c_nu, .
endalign
For the non-abelian symmetry of QCD, $SU(3)_textcolor$, the structure constants $f^abc$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_textem$.
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

edited 4 hours ago

answered 4 hours ago

DomDoeDomDoe

38418

$endgroup$

add a comment | 

$begingroup$

If you take a look at the QCD Lagrangian describing the strong force
beginalign
mathcalL_QCD= overlineq(i D_mu gamma^mu - m) q - frac14 G_mu nu^a G_a^mu nu, ,
endalign
you can see in the term $frac14 G_mu nu^a G_a^mu nu$ we have a contraction of the gluon field strength tensor
beginalign
G^a_mu nu = partial_mu A^a_nu - partial_nu A_mu^a + g f^abcA^b_mu A^c_nu, .
endalign
For the non-abelian symmetry of QCD, $SU(3)_textcolor$, the structure constants $f^abc$ are non-zero, other than in electromagnetism, where the symmetry group is an abelian $U(1)_textem$.
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

edited 4 hours ago

answered 4 hours ago

DomDoeDomDoe

38418

$endgroup$

share|cite|improve this answer

edited 4 hours ago

answered 4 hours ago

DomDoeDomDoe

38418

answered 4 hours ago

DomDoeDomDoe

38418

answered 4 hours ago

DomDoeDomDoe

38418