Pure Yang-Mills theory in D=1+1

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SUMMARY

The discussion centers on the Pure Yang-Mills theory in 1+1 dimensions, which is confirmed to be trivial and solvable exactly, lacking any dynamics. Gerard 't Hooft's work, specifically "A Two-Dimensional Model for Mesons" published in Nucl.Phys.B75:461 in February 1974, is identified as a key reference supporting this conclusion. The theory's simplicity in two dimensions is emphasized, reinforcing its theoretical significance.

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  • Understanding of Yang-Mills theory
  • Familiarity with quantum field theory concepts
  • Knowledge of dimensional analysis in physics
  • Awareness of Gerard 't Hooft's contributions to theoretical physics
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  • Research the implications of triviality in quantum field theories
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  • Examine other works by Gerard 't Hooft for further insights
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The discussion is beneficial for theoretical physicists, graduate students in quantum field theory, and researchers interested in the foundational aspects of Yang-Mills theories.

Lester
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I was aware that this theory can be solved exactly and is trivial, i.e. there is no dynamics. I was also convinced that this result is due to 't Hooft. Could you confirm this view and put out some relevant refs about?

Thanks beforehand.

Jon
 
Physics news on Phys.org
start here:

A Two-Dimensional Model for Mesons.
Gerard 't Hooft (CERN) . CERN-TH-1820, Feb 1974. 16pp.
Published in Nucl.Phys.B75:461,1974.
 
Nice! Thanks a lot.
 

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