Light Quarks and Instantons

Instantons and anti-instantons can profoundly influence the structure of a non-Abelian gauge theory involving N flavors of massless quarks. Interactions of the quarks with these pseudoparticles can spontaneously generate a quark mass, break the theory's SU ( N ) × SU ( N ) chiral symmetry and bind quark-antiquark pairs to form N 2 − 1 Goldstone bosons. If the spontaneously generated quark mass is small, multipseudoparticle configurations can be treated in a dilute gas approximation.

GAUGE FIELD THEORY: NONABELIAN
QUARK: FLAVOR
QUARK: MASSLESS
FIELD EQUATIONS: INSTANTON
MASS: PRODUCTION
PRODUCTION: MASS
SYMMETRY: CHIRAL
SYMMETRY BREAKING: SU(N) X SU(N)
QUARK ANTIQUARK: PAIR
FIELD THEORY: GOLDSTONE THEOREM

References(35)

Figures(0)

Behavior of current divergences under SU(3) x SU(3)

- Phys.Rev. 175 (1968) 2195-2199
•
DOI:
- 10.1103/PhysRev.175.2195

Axial vector current conservation in weak interactions

Yoichiro Nambu
(
- Chicago U., EFI
)

- Phys.Rev.Lett. 4 (1960) 380-382,
•
DOI:
- 10.1103/PhysRevLett.4.380

Field Theories with Superconductor Solutions

J. Goldstone
(
- CERN
)

- Nuovo Cim. 19 (1961) 154-164,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 93-103
•
DOI:
- 10.1007/BF02812722

Quantum Chromodynamics: A Review

William J. Marciano
(
- Rockefeller U.
)
,
Heinz Pagels
(
- Rockefeller U.
)

- Phys.Rept. 36 (1978) 137
•
DOI:
- 10.1016/0370-1573(78)90208-9

How to Solve the eta --> 3 pi Problem by Seizing the Vacuum

John B. Kogut
(
- Cornell U., LNS
)
,
Leonard Susskind
(
- Yeshiva U. and
- Tel Aviv U.
)

- Phys.Rev.D 11 (1975) 3594,
- Phys.Rev.D11 (1975) 3594-3610 and Cornell Univ Ithaca - CLNS-290 (74,REC.JAN 75) 44p
•
DOI:
- 10.1103/PhysRevD.11.3594

The U(1) Problem

Steven Weinberg
(
- Harvard U.
)

- Phys.Rev.D 11 (1975) 3583-3593
•
DOI:
- 10.1103/PhysRevD.11.3583

Symmetry Breaking Through Bell-Jackiw Anomalies

Gerard 't Hooft
(
- Harvard U.
)

- Phys.Rev.Lett. 37 (1976) 8-11,
•
DOI:
- 10.1103/PhysRevLett.37.8

Pseudoparticle Solutions of the Yang-Mills Equations

A.A. Belavin
(
- Landau Inst.
)
,
Alexander M. Polyakov
(
- Landau Inst.
)
,
A.S. Schwartz
(
- Landau Inst.
)
,
Yu.S. Tyupkin
(
- Landau Inst.
)

- Phys.Lett.B 59 (1975) 85-87,
- Also in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 739-741, and in *Mohapatra, R. N. ( Ed.), Lai, C. H. ( Ed.): Gauge Theories Of Fundamental Interactions*, 371-373,
•
DOI:
- 10.1016/0370-2693(75)90163-X

Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle

Gerard 't Hooft
(
- Harvard U.
)

- Phys.Rev.D 14 (1976) 3432-3450,
- Phys.Rev.D 18 (1978) 2199 (erratum),
•
DOI:
- 10.1103/PhysRevD.14.3432

The Structure of the Gauge Theory Vacuum

Curtis G. Callan, Jr.
(
- Princeton U.
)
,
R.F. Dashen
(
- Princeton, Inst. Advanced Study
)
,
David J. Gross
(
- Princeton U.
)

- Phys.Lett.B 63 (1976) 334-340,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 378-384,
- Also in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 770-776. ( Phys. Lett. B63 ( 1976) 334-340) and Preprint - CALLAN, C.G. (REC.AUG.76) 18p,
•
DOI:
- 10.1016/0370-2693(76)90277-X