Lattice QCD solution to the U(1) problem

Journal Article · Sat Apr 01 00:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.3952· OSTI ID:6588493

Fukugita, M ^[1]; Kuramashi, Y; Okawa, M ^[2]; Ukawa, A ^[3]

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1. Yukawa Institute, Kyoto University, Kyoto 606 (Japan)
2. National Laboratory for High Energy Physics (KEK), Tsukuba, Ibaraki 305 (Japan)
3. Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)

It is shown in quenched lattice QCD that the mass splitting between [eta][prime] and a pion arises from gauge configurations with a nonzero topological charge [ital Q], its magnitude increasing for larger values of [vert bar][ital Q][vert bar]; the contribution from the disconnected quark loop is strongly hindered unless the topological charge is excited. This demonstrates the explicit relation between the large [eta][prime] meson mass and gauge field topology, which is in the line of the argument in the continuum of instantons and the 1/[ital N] expansion.

• OSTI ID: 6588493
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 51:7; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
U-1 GROUPS
QUANTUM CHROMODYNAMICS
ETA MESONS
EXCITATION
INSTANTONS
MASS
PIONS
QUARKS
BOSONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
FERMIONS
FIELD THEORIES
HADRONS
LIE GROUPS
MESONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUASI PARTICLES
SYMMETRY GROUPS
U GROUPS
662230* - Quantum Chromodynamics- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
662420 - Properties of Mesons & Meson Resonances- (1992-)