A worldline image method is developed for the Yang-Mills effective action with boundaries, checked via the first three Seeley-DeWitt coefficients and applied to chromoelectric gluon production.
Worldgraph Approach to Yang-Mills Amplitudes from N=2 Spinning Particle
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abstract
By coupling the N=2 spinning particle to background vector fields, we construct Yang-Mills amplitudes for trees and one loop. The vertex operators are derived through coupling the BRST charge; therefore background gauge invariance is manifest, and the Yang-Mills ghosts are automatically included in loop calculations by worldline ghosts. Inspired by string calculations, we extend the usual worldline approach to incorporate more "generalized" 1D manifolds. This new approach should be useful for constructing higher-point and higher-loop amplitudes.
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Authors embed Yang-Mills BV-multiplet into N=2 spinning worldline path integral, pull back to supermoduli space integral form, and recover the Yang-Mills action upon projection to Fock space.
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Worldline Images for Yang-Mills Theory within Boundaries
A worldline image method is developed for the Yang-Mills effective action with boundaries, checked via the first three Seeley-DeWitt coefficients and applied to chromoelectric gluon production.
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Yang-Mills Theory and the $\mathcal{N}=2$ Spinning Path Integral
Authors embed Yang-Mills BV-multiplet into N=2 spinning worldline path integral, pull back to supermoduli space integral form, and recover the Yang-Mills action upon projection to Fock space.