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A consistent derivation of the quark--antiquark and three quark potentials in a Wilson loop context
High Energy Physics - Theory · Submitted 12 Jan 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this paper we give a new derivation of the quark-antiquark potential in the Wilson loop context.
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The abstract, sentence by sentence
In this paper we give a new derivation of the quark-antiquark potential in the Wilson loop context. This makes more explicit the approximations involved and enables an immediate extension to the three-quark case. In the $q\overline{q}$ case we find the same semirelativistic potential obtained in preceding papers but for a question of ordering. In the $3q$ case we find a spin dependent potential identical to that already derived in the literature from the ad hoc and non correct assumption of scalar confinement. Furthermore we obtain the correct form of the spin independent potential up to the $1/m^2$ order.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we give a new derivation of the quark-antiquark potential in the Wilson loop context. | contribution 1.00 | 0.96 | 0.19 | asserted 0.99 |
| s1 | This makes more explicit the approximations involved and enables an immediate extension to the three-quark case. | contribution 0.56 | 0.80 | 0.11 | asserted 0.97 |
| s2 | In the $q\overline{q}$ case we find the same semirelativistic potential obtained in preceding papers but for a question of ordering. | result 0.99 | 0.89 | 0.16 | asserted 1.00 |
| s3 | In the $3q$ case we find a spin dependent potential identical to that already derived in the literature from the ad hoc and non correct assumption of scalar confinement. | result 0.99 | 0.90 | 0.22 | asserted 1.00 |
| s4 | Furthermore we obtain the correct form of the spin independent potential up to the $1/m^2$ order. | result 1.00 | 0.95 | 0.18 | asserted 1.00 |
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The paper
Original abstract
In this paper we give a new derivation of the quark-antiquark potential in the Wilson loop context. This makes more explicit the approximations involved and enables an immediate extension to the three-quark case. In the $q\overline{q}$ case we find the same semirelativistic potential obtained in preceding papers but for a question of ordering. In the $3q$ case we find a spin dependent potential identical to that already derived in the literature from the ad hoc and non correct assumption of scalar confinement. Furthermore we obtain the correct form of the spin independent potential up to the $1/m^2$ order.
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How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 1 paper
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Properties of Wilson loops were thoroughly studied in the past [ref] and applications to bound states of quarks were considered [ref] .
Two-point gauge invariant quark Green's functions with polygonal phase factor lines · Introduction · 1.00
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