2011/06/02 by A. G. Shuvaev, Shuvaev, A. G.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.48550/arxiv.1106.0384
22 pages, no figures
arxiv created 2011/06/02 · arxiv updated 2011/06/03
The partition function of four dimensional SO(4) Yang-Mills theory is rewritten in terms of variables admitting straightforward relation to the partition function of pure 4D gravity. The gauge action turns into first-order Hilbert-Palatini action for Einstein gravity with a simple extra term added. The proposed relation can be substantiated as a duality for the partition functions provided a special gauge is imposed for the gravity. The same method allows to find a closed expression for the partition function of the SO(4) gauge theory.