Schwinger-Dyson Equation for Supersymmetric Yang-Mills Theory: Manifestly Supersymmetric Form

Autor:	H. Itoyama, Hiroyuki Takashino
Rok vydání:	1997
Předmět:	Renormalization Physics High Energy Physics::Theory Loop splitting Physics and Astronomy (miscellaneous) High Energy Physics::Lattice Schwinger–Dyson equation Yang–Mills theory Fermion Invariant (physics) Abelian group Superspace Mathematical physics
Zdroj:	Progress of Theoretical Physics. 97:963-1001
ISSN:	1347-4081 0033-068X
Popis:	We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly supersymmetric form in which a loop splitting and joining are represented by a manifestly supersymmetric as well as supergauge invariant operation in superspace. This is found to be a natural extension from the abelian case. We solve the equation to leading order in perturbation theory or equivalently in the linearized approximation, obtaining a desirable nontrivial answer. The super Wilson-loop variable can be represented as the system of one-dimensional fermion along the loop coupled minimally to the original theory. One-loop renormalization of the one-point Wilson-loop average is explicitly carried out, exploiting this property. The picture of string dynamics obtained is briefly discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::34d30984af8af67a7b4e222c3e8919fd https://doi.org/10.1143/ptp.97.963 Zobrazit plný text záznamu