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N=4 super-Yang-Mills correlators without anticommuting variables

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

2003.14325.pdf
(Preprint), 526KB

PhysRevD.101.125013.pdf
(Publisher version), 379KB

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Citation

Nicolai, H., & Plefka, J. (2020). N=4 super-Yang-Mills correlators without anticommuting variables. Physical Review D, 101: 125013. doi:10.1103/PhysRevD.101.125013.


Cite as: http://hdl.handle.net/21.11116/0000-0006-0DA5-2
Abstract
Quantum correlators of pure supersymmetric Yang-Mills theories in D=3,4,6 and 10 dimensions can be reformulated via the non-linear and non-local transformation (`Nicolai map') that maps the full functional measure of the interacting theory to that of a free bosonic theory. As a special application we show that for the maximally extended N=4 theory in four dimensions, and up to order O(g^2), all known results for scalar correlators can be recovered in this way without any use of anti-commuting variables, in terms of a purely bosonic and ghost free functional measure for the gauge fields. This includes in particular the dilatation operator yielding the anomalous dimensions of composite operators. The formalism is thus competitive with more standard perturbative techniques.