Quark Pair Condensation and Confinement

Hey, A.J.G.; Horn, D.; Mandula, J.E.

doi:10.1016/0370-2693(78)90315-5

Quark Pair Condensation and Confinement

Oct, 1978

4 pages

Published in:

Phys.Lett.B 80 (1978) 90-93

Published: 1978

DOI:

10.1016/0370-2693(78)90315-5

Report number:

Print-78-0998 (MIT)

View in:

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Abstract: (Elsevier)

We discuss the possibility of achieving quark confinement in QCD even if the q q potential falls with separation. The necessary condition is that the coupling exceed a critical value of order 1. We study spontaneous pair creation due to a Coulomb interaction, and argue that in such a situation the true vacuum becomes a condensate of q q pairs. We argue heuristically that in QCD, if the true vacuum is such a condensate, it allows free quark propagation over limited distances only, and we point out possible excitations of the condensate that have the properties of hadrons.

QUARK: PAIR PRODUCTION
PAIR PRODUCTION: QUARK
QUARK: CONDENSATION
QUARK: CONFINEMENT
QUARK ANTIQUARK: POTENTIAL
ELECTRON POSITRON: BOUND STATE
COUPLING CONSTANT
FIELD THEORY: VACUUM STATE
FIELD THEORY: CRITICAL PHENOMENA
QUANTUM CHROMODYNAMICS

References(16)

Figures(0)

Ultraviolet Behavior of Nonabelian Gauge Theories

David J. Gross
(
- Princeton U.
)
,
Frank Wilczek
(
- Princeton U.
)

- Phys.Rev.Lett. 30 (1973) 1343-1346,
- Also in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 233-236,
•
DOI:
- 10.1103/PhysRevLett.30.1343

Reliable Perturbative Results for Strong Interactions?

H.David Politzer
(
- Harvard U.
)

- Phys.Rev.Lett. 30 (1973) 1346-1349,
- Also in *Mohapatra, R. N. (Ed.), Lai, C. H. (Ed.): Gauge Theories Of Fundamental Interactions*, 333-336, and in *Rebbi, C. (Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 237-240,
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 243-246,
•
DOI:
- 10.1103/PhysRevLett.30.1346

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 59 (1975) 79-81
•
DOI:
- 10.1016/0370-2693(75)90161-6

Vortices and Quark Confinement in Nonabelian Gauge Theories

S. Mandelstam
(
- UC, Berkeley
)

- Phys.Rept. 23 (1976) 245-249,
- In *Gervais, J.L. (Ed.), Jacob, M. (Ed.): Non-linear and Collective Phenomena In Quantum Physics*, 12-16
•
DOI:
- 10.1016/0370-1573(76)90043-0

- Phys.Lett.B 66 357

Toward a Theory of the Strong Interactions

- Phys.Rev.D 17 (1978) 2717,
•
DOI:
- 10.1103/PhysRevD.17.2717

Fermions and Bosons Interacting with Arbitrarily Strong External Fields

Johann Rafelski
(
- Argonne
)
,
Lewis P. Fulcher
(
- Bowling Green State U.
)
,
Abraham Klein
(
- Pennsylvania U.
)

- Phys.Rept. 38 (1978) 227-361
•
DOI:
- 10.1016/0370-1573(78)90116-3

Color Screening by a Yang-Mills Instability

Jeffrey E. Mandula
(
- MIT
)

- Phys.Lett.B 67 (1977) 175-178
•
DOI:
- 10.1016/0370-2693(77)90096-X

Simple Proof for {Yang-Mills} Instability

M. Magg
(
- Aachen, Tech. Hochsch.
)

- Phys.Lett.B 74 (1978) 246-248
•
DOI:
- 10.1016/0370-2693(78)90565-8

- Phys.Lett.B 67 495

Massless Scalar QED as a Model of Color Confinement

Jeffrey E. Mandula
(
- MIT
)
,
Larry D. McLerran
(
- MIT, LNS
)

- Phys.Lett.B 73 (1978) 193-195
•
DOI:
- 10.1016/0370-2693(78)90833-X

SCREENING SOLUTIONS TO CLASSICAL YANG-MILLS THEORY

P. Sikivie
(
- SLAC
)
,
Nathan Weiss
(
- SLAC
)

- Phys.Rev.Lett. 40 (1978) 1411
•
DOI:
- 10.1103/PhysRevLett.40.1411

DOES COLOR SCREENING CONFINE QUARKS?

Kevin E. Cahill
(
- Louisiana State U.
)

- Phys.Rev.Lett. 41 (1978) 599,
- Phys.Rev.Letters 41 (1978) 913.(Phys.Rev.Letters 41 (1978) 599-601)
•
DOI:
- 10.1103/PhysRevLett.41.599

The Classical {Yang-Mills} Field of a Quark Source

M. Magg
(
- CERN
)

- Phys.Lett.B 77 (1978) 199-202
•
DOI:
- 10.1016/0370-2693(78)90620-2

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.

Yoichiro Nambu
(
- Chicago U., EFI
)
,
G. Jona-Lasinio
(
- Chicago U., EFI
)

- Phys.Rev. 122 (1961) 345-358,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 104-117,
•
DOI:
- 10.1103/PhysRev.122.345