Yang-Mills vacuum wave functional in three dimensions at weak coupling

Sebastian Krug, Antonio Pineda

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Abstract

We compute the Yang-Mills vacuum wave functional in three dimensions at weak coupling with O(e2) precision. We use two different methods to solve the functional Schrödinger equation. One of them generalizes to O(e2) the method followed by Hatfield at O(e). The other uses the weak coupling version of the gauge invariant formulation of the Schrödinger equation and the ground state wave functional followed by Karabali, Nair, and Yelnikov. We compare both results and discuss the differences between them. © 2013 American Physical Society.
Original languageEnglish
Article number125001
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number12
DOIs
Publication statusPublished - 2 Dec 2013

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    Krug, S., & Pineda, A. (2013). Yang-Mills vacuum wave functional in three dimensions at weak coupling. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88(12), [125001]. https://doi.org/10.1103/PhysRevD.88.125001