A Simple Physical Interpretation of the Critical Dimension of Space-Time in Dual Models - INSPIRE

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A Simple Physical Interpretation of the Critical Dimension of Space-Time in Dual Models

L. Brink
(
- CERN
)
,
Holger Bech Nielsen
(
- Bohr Inst.
)

1973

5 pages

Published in:

Phys.Lett.B 45 (1973) 332-336

Published: 1973

DOI:

10.1016/0370-2693(73)90048-8

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Abstract: (Elsevier)

The energy due to zero point fluctuations of the dual string is calculated and shown to be divergent. We make it finite by introducing a cut-off. The result is non-covariant but invariant under reparametrization, so one has to modify the classical Lagrangian so as to get a covariant result. It is then shown that this leads to the well-known relation relating the mass squared of the lowest state to the number of dimensions space-time. This result is independent of the cut-off and shows clearly the physical significance of the critical dimension of space-time. Similar considerations for the Neveu-Schwarz model are also discussed.

dual resonance model
model: string
pomeron
analytic properties
model: oscillator
model: virasoro
scaling
postulated particle: tachyon
quark

References(10)

Figures(0)

[1]

Pomeron form-factors and dual Regge cuts

C. Lovelace
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 34 (1971) 500-506
•
DOI:
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[1]

Factorization of the pomeron sector and currents in the dual resonance model

E. Cremmer
(
- CERN
)
,
Joel Scherk
(
- CERN
)

- Nucl.Phys.B 50 (1972) 222-252
•
DOI:
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[2]

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P. Goddard
(
- CERN
)
,
Charles B. Thorn
(
- CERN
)

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•
DOI:
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[2]

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Richard C. Brower
(
- MIT, LNS
)

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•
DOI:
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[3]

CERN preprint

P. Goddard
,
J. Goldstone
,
C. Rebbi
,
C.B. Thorn

[4]

A physical interpretation of the jacobi imaginary transformation and the critical dimension in dual models

L. Brink
(
- CERN
)
,
Holger Bech Nielsen
(
- Bohr Inst.
)

- Phys.Lett.B 43 (1973) 319-322
•
DOI:
- 10.1016/0370-2693(73)90450-4

[5]

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M.A. Virasoro
(
- Wisconsin U., Madison
)

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•
DOI:
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[5]

Electrostatic analog for the virasoro model

Joel A. Shapiro
(
- Maryland U.
)

- Phys.Lett.B 33 (1970) 361-362
•
DOI:
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[6]

Factorizable dual model of pions

A. Neveu
(
- Princeton U.
)
,
J.H. Schwarz
(
- Princeton U.
)

- Nucl.Phys.B 31 (1971) 86-112
•
DOI:
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[6]

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•
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