Ultra-violet Finite Noncommutative Theories
I. Jack, D.R.T. Jones

TL;DR
This paper demonstrates that certain noncommutative gauge theories are finite in the ultra-violet regime, indicating they do not require renormalization at high energies.
Contribution
The authors prove the ultra-violet finiteness of specific classes of noncommutative gauge theories, advancing understanding of their quantum behavior.
Findings
Noncommutative gauge theories are UV finite.
Proofs of finiteness for multiple classes of theories.
Implications for quantum field theory consistency.
Abstract
We establish the ultra-violet finiteness of various classes of noncommutative gauge theories.
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