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

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 a large class of (possibly non-linear and non-local) gauges, and exhibit the conditions for all statements to remain valid off the gauge hypersurface. Finally, we present explicit results to second order in the axial gauge and to fourth order in the Landau gauge.

References in corpus (4)

• Finiteness Properties of the N=4 Super-Yang--Mills Theory in Supersymmetric Gauge
• N=4 super Yang-Mills correlators without anti-commuting variables
• Universal form of the Nicolai map
• Higher spins, quadratic forms and amplitudes

Cited by in corpus (11)

• Construction method for the Nicolai map in supersymmetric Yang-Mills theories
• A perturbative expansion scheme for supermembrane and matrix theory
• Two Loop Ghost free Quantisation of Wilson Loops in $\mathcal{N}=4$ supersymmetric Yang-Mills
• An improved Nicolai map for super Yang-Mills theory
• Is the Nicolai map unique?
• Nicolai maps for super Yang-Mills on the light cone
• Massive to Massless by Applying a Nonlocal Field Redefinition
• Supersymmetric large-order perturbation with the Nicolai map
• The coupling flow of $\mathcal{N}=4$ super Yang-Mills theory
• Nicolai maps and uniqueness in the light-cone gauge
• Towards a Nicolai map for supergravity