Consistent derivation of the quark-antiquark and three-quark potentials in a Wilson loop context

Journal Article · Mon Oct 31 23:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5878· OSTI ID:6962824

Brambilla, N; Consoli, P; Prosperi, G M ^[1]

---

1. Dipartamento di Fisica dell'Universita-Milano, Istituto Nazionale di Fisica Nucleare, Sezione di Milano-Via Celoria 16, 20133 Milano (Italy)

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 [ital q[bar q]] case we find the same semirelativistic potential obtained in preceding papers but for a question of ordering. In the 3[ital q] case we find a spin-dependent potential identical to that already derived in the literature from the [ital ad] [ital hoc] and incorrect assumption of scalar confinement. Furthermore we obtain the correct form of the spin-independent potential up to the 1/[ital m][sup 2] order.

• OSTI ID: 6962824
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
INTERACTIONS
MANY-BODY PROBLEM
PARTICLE INTERACTIONS
POTENTIALS
QUARK-ANTIQUARK INTERACTIONS
QUARK-QUARK INTERACTIONS
THREE-BODY PROBLEM
WILSON LOOP