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TT[over ¯]-like Flows of Yang-Mills Theories
Christian Ferko1,2, Jue Hou3, Tommaso Morone4
1Northeastern University, Department of Physics, Boston, Massachuetts 02115, USA.
Abstract:
We study TT[over ¯]-like deformations of d>2 Yang-Mills theories. The standard TT[over ¯] flows lead to multitrace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to TT[over ¯], we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrized single-trace TT[over ¯]-like deformations, whose solutions in d=4 include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.
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