Strong Interaction: General Equation?

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SUMMARY

The general equation for the Strong Interaction is defined by the Yang-Mills Lagrangian with the gauge group SU(3). The equation is expressed as L = phibar(i*Dslash)phi - 1/4 * (F^i_uv)^2 - m*phibar*phi, where phi represents the fermion (quark) field, F^i_uv denotes the gluon field tensor, m indicates the fermion mass, and D is the covariant derivative associated with SU(3). This formulation is crucial for understanding the dynamics of strong force interactions in quantum chromodynamics (QCD).

PREREQUISITES
  • Understanding of Yang-Mills theory
  • Familiarity with gauge groups, specifically SU(3)
  • Knowledge of quantum chromodynamics (QCD)
  • Basic concepts of Lagrangian mechanics in particle physics
NEXT STEPS
  • Study the properties and implications of the Yang-Mills Lagrangian
  • Explore the role of SU(3) in quantum chromodynamics
  • Investigate the covariant derivative and its applications in gauge theories
  • Learn about the physical significance of gluon field tensors in particle interactions
USEFUL FOR

This discussion is beneficial for theoretical physicists, particle physicists, and advanced students studying quantum field theory and the fundamental forces of nature.

Joe Coss
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Is there a general equation for the Strong Interaction?
 
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Yes -- the Langrangian is the Yang-Mills Lagrangian with the gauge group SU(3). ie

L= phibar(i*Dslash)phi - 1/4 * (F^i_uv)^2 -m*phibar*phi

where phi is the fermion (quark) field, F^i_uv is the gluon field tensor(s), m is the fermion mass, and D is the covariant derivative for SU(3).
 

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