1986 Fiscal Year Final Research Report Summary
Quark Confinement in Gauge Theories
| Project/Area Number |
60540169
|
|---|
| Research Category |
Grant-in-Aid for General Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
核・宇宙線・素粒子
|
|---|
| Research Institution | Kyoto University (1986)
The University of Tokyo (1985) |
|---|
Principal Investigator |
NISHIJIMA Kazuhiko Research Institute for Fundamental Physics, Kyoto University, Professor, 基礎物理学研究所, 教授 (50011424)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
MIYAZAWA Hironari Faculty of Science, University of Tokyo, Professor, 理学部, 教授 (50011432)
|
|---|
| Project Period (FY) |
1985 – 1986
|
| Keywords | quark confinement / BRS invariance / renormalization group / superconvergence / generation / bag model / 格子ゲージ理論 |
|---|
| Research Abstract |
In analogy with the conginement of longitudinal and scalar photons in QED by metric cancellation, the problem of quark confinement has been studied in QCD by exploiting the BRS invariance. The study of the metric structure of the representations of the BRS transformation leads to confinement of BRS doublet states. Furthermore, a sufficient condition for confinement has been obtained on the basis of a set of Ward-Takahashi identities in gauge theories.
On the basis of the renormalization group, Oehme and Zimmermann derived a superconvergence relation for the absorptive part of the transverse gluon propagator, provided that the number of generations N does not exceed 4. Starting from this result we can conclude that color confinement is realized for N<=4. The same condition leads to the bag model and the area law in the lattice gauge theory. To see what happens for N>=4, a computer experiment is proposed.
Also, phenomenological and topological studies of the gauge theory have been made.
|
