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Perturbative linearization of super-Yang-Mills theories in arbitrary gauges

MPS-Authors
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Malcha,  Hannes
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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

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2104.06017.pdf
(Preprint), 253KB

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Citation

Malcha, H., & Nicolai, H. (in preparation). Perturbative linearization of super-Yang-Mills theories in arbitrary gauges.


Cite as: http://hdl.handle.net/21.11116/0000-0008-4F06-A
Abstract
Supersymmetric Yang-Mills theories can be characterized by a non-local and non-linear transformation of the bosonic fields (Nicolai map) mapping the interacting functional measure to that of a free theory, such that the Jacobi determinant of the transformation equals the product of the fermionic determinants obtained by integrating out the gauginos and ghosts at least on the gauge hypersurface. While this transformation has been known so far only for the Landau gauge and to third order in the Yang-Mills coupling, we here extend the construction to arbitrary gauges, with explicit results to second order in the axial gauge and to fourth order in the Landau gauge.