The regularization and determination of the Yang-Mills vacuum wave functional in three dimensions at O(e2)

Sebastian Krug; Antonio Pineda

doi:10.1016/j.nuclphysb.2013.11.008

The regularization and determination of the Yang-Mills vacuum wave functional in three dimensions at O(e2)

Sebastian Krug, Antonio Pineda

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

We complete the computation of 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) [1]. 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 [2]. These methods need to be carefully regularized to yield correct results. This is done in this paper with full detail. © 2013 The Authors.

Original language	English
Pages (from-to)	82-116
Journal	Nuclear Physics B
Volume	878
Issue number	1
DOIs	https://doi.org/10.1016/j.nuclphysb.2013.11.008
Publication status	Published - 1 Jan 2014

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title = "The regularization and determination of the Yang-Mills vacuum wave functional in three dimensions at O(e2)",

abstract = "We complete the computation of 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 Schr{\"o}dinger equation. One of them generalizes to O(e2) the method followed by Hatfield at O(e) [1]. The other uses the weak coupling version of the gauge invariant formulation of the Schr{\"o}dinger equation and the ground-state wave functional followed by Karabali, Nair, and Yelnikov [2]. These methods need to be carefully regularized to yield correct results. This is done in this paper with full detail. {\textcopyright} 2013 The Authors.",

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AB - We complete the computation of 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) [1]. 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 [2]. These methods need to be carefully regularized to yield correct results. This is done in this paper with full detail. © 2013 The Authors.

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DO - 10.1016/j.nuclphysb.2013.11.008

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