Derivative corrections to Dirac-Born-Infeld Lagrangian and noncommutative gauge theory

Okawa, Yuji

doi:10.1016/S0550-3213(99)00691-4

Derivative corrections to Dirac-Born-Infeld Lagrangian and noncommutative gauge theory

Yuji Okawa
(
- Osaka U.
)

Sep, 1999

19 pages

Published in:

Nucl.Phys.B 566 (2000) 348-362

e-Print:

hep-th/9909132 [hep-th]

DOI:

10.1016/S0550-3213(99)00691-4

Report number:

OU-HET-327

View in:

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Abstract:

We consider the constraints on the effective Lagrangian of the rank-one gauge field on D-branes imposed by the equivalence between the description by ordinary gauge theory and that by non-commutative gauge theory in the presence of a constant B field. It is shown that we can consistently construct the two-derivative corrections to the Dirac-Born-Infeld Lagrangian up to the quartic order of field strength and the most general form which satisfies the constraints up to this order is derived.

Note:

20 pages, LaTeX2e, no figures; v2: (foot)notes added including an important one at the end of the paper, minor corrections, to appear in Nucl. Phys. B

membrane model: D-brane
gauge field theory: U(1)
effective Lagrangian
Born-Infeld model
gauge field theory: noncommutative
correction: derivative

References(7)

Figures(0)

Noncommutative geometry and matrix theory: Compactification on tori

Alain Connes
(
- IHES, Bures-sur-Yvette
)
,
Michael R. Douglas
(
- IHES, Bures-sur-Yvette and
- Rutgers U., Piscataway
)
,
Albert S. Schwarz
(
- IHES, Bures-sur-Yvette and
- Rutgers U., Piscataway and
- UC, Davis
)

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e-Print:
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•
DOI:
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String theory and noncommutative geometry

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•
e-Print:
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•
DOI:
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Born-Infeld action, supersymmetry and string theory

Arkady A. Tseytlin
(
- Imperial Coll., London and
- Lebedev Inst.
)

Partition Function Representation for the Open Superstring Effective Action: Cancellation of Mobius Infinities and Derivative Corrections to Born-Infeld Lagrangian

O.D. Andreev
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

- Nucl.Phys.B 311 (1988) 205-252
•
DOI:
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Two Loop Beta Function in the Open String $\sigma$ Model and Equivalence With String Effective Equations of Motion

O.D. Andreev
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

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DOI:
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Corrections to D-brane action and generalized boundary state

Koji Hashimoto
(
- Kyoto U.
)

- Phys.Rev.D 61 (2000) 106002
•
e-Print:
- hep-th/9909027
•
DOI:
- 10.1103/PhysRevD.61.106002

Generalized supersymmetric boundary state

Koji Hashimoto
(
- Kyoto U.
)

- JHEP 04 (2000) 023
•
e-Print:
- hep-th/9909095
•
DOI:
- 10.1088/1126-6708/2000/04/023

Derivative corrections to Dirac-Born-Infeld Lagrangian and noncommutative gauge theory

Citations per year

Noncommutative geometry and matrix theory: Compactification on tori

String theory and noncommutative geometry

Born-Infeld action, supersymmetry and string theory

Partition Function Representation for the Open Superstring Effective Action: Cancellation of Mobius Infinities and Derivative Corrections to Born-Infeld Lagrangian

Two Loop Beta Function in the Open String σ\sigmaσ Model and Equivalence With String Effective Equations of Motion

Corrections to D-brane action and generalized boundary state

Generalized supersymmetric boundary state

Two Loop Beta Function in the Open String $\sigma$ Model and Equivalence With String Effective Equations of Motion