Abstract
We all know about the importance of anticommuting variables in the context of supersymmetry1. They play an essential role in the formulation of supersymmetric theories and they greatly facilitate complex calculations, for example in perturbation theory. Nonetheless, as mathematical objects, they are not always as convenient and wieldy as ordinary numbers. For instance, they do not have any positivity properties, and we do not know how to attribute an intrinsic meaning to a functional integral over superfields beyond perturbation theory (of course, Gaussian integrals can always be defined) without going back to the component fields. Thus, their main advantage lies in algebraic applications such as proving divergence cancellations, whereas they appear to be unsuitable for analytical applications such as proving correlation inequalities for theories containing fermions in interaction with bosons.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
