Strings in {QCD} and $\theta$ Vacua

Mazur, P.O.; Nair, V.P.

doi:10.1016/0550-3213(87)90030-7

Strings in {QCD} and $\theta$ Vacua

P.O. Mazur
(
- Santa Barbara, KITP and
- Syracuse U.
)
,
V.P. Nair
(
- Santa Barbara, KITP
)

Aug 15, 1986

11 pages

Published in:

Nucl.Phys.B 284 (1987) 146-156

Published: 1987

DOI:

10.1016/0550-3213(87)90030-7

Report number:

NSF-ITP-86-91

View in:

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Abstract: (Elsevier)

Strings are believed to provide an effective description of QCD, at least in some approximation such as the large N c limit. We consider the question of how the effects of θ vacua can be represented in the string description. A term like exp( iθc 1 ( Σ )), where ( c 1 ( Σ ) is the first Chern number of the normal bundle (related to the self-intersection number of the world surface), has some of the required properties.

QUANTUM CHROMODYNAMICS: VACUUM STATE
MODEL: STRING
EXPANSION 1/N
ANOMALY: AXIAL
SYMMETRY BREAKING: U(1)
FIELD EQUATIONS: INSTANTON
FIELD THEORETICAL MODEL: CP(1)
MATHEMATICAL METHODS: TOPOLOGICAL

References(22)

Figures(0)

A Planar Diagram Theory for Strong Interactions

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 72 (1974) 461,
•
DOI:
- 10.1016/0550-3213(74)90154-0

A Two-Dimensional Model for Mesons

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 75 (1974) 461-470
•
DOI:
- 10.1016/0550-3213(74)90088-1

Current Algebra Theorems for the U(1) Goldstone Boson

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 156 (1979) 269-283
•
DOI:
- 10.1016/0550-3213(79)90031-2

Baryons in the 1/n Expansion

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 160 (1979) 57-115
•
DOI:
- 10.1016/0550-3213(79)90232-3

Large N Chiral Dynamics

Edward Witten
(
- Harvard U.
)

- Annals Phys. 128 (1980) 363
•
DOI:
- 10.1016/0003-4916(80)90325-5

Fine Structure of Strings

Alexander M. Polyakov
(
- Moscow, ITEP
)

- Nucl.Phys.B 268 (1986) 406-412
•
DOI:
- 10.1016/0550-3213(86)90162-8

CP Conservation in the Presence of Instantons

R.D. Peccei
(
- Stanford U., ITP
)
,
Helen R. Quinn
(
- Stanford U., ITP
)

- Phys.Rev.Lett. 38 (1977) 1440-1443,
•
DOI:
- 10.1103/PhysRevLett.38.1440

Instantons, the Quark Model, and the 1/n Expansion

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 149 (1979) 285-320
•
DOI:
- 10.1016/0550-3213(79)90243-8

A 1/n Expandable Series of Nonlinear Sigma Models with Instantons

- Nucl.Phys.B 146 (1978) 63-76,
- In *Brezin, E. (ed.), Wadia, S.R. (ed.): The large N expansion in quantum field theory and statistical physics* 64-77. and In *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and particles* 432-436
•
DOI:
- 10.1016/0550-3213(78)90432-7