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

Andreev, O.D.; Tseytlin, Arkady A.

doi:10.1142/S0217732388001628

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.
)

Jun 28, 1988

15 pages

Published in:

Mod.Phys.Lett.A 3 (1988) 1349-1359

DOI:

10.1142/S0217732388001628

Report number:

Print-88-0470 (LEBEDEV)

View in:

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Abstract: (WSP)

We consider the sigma-model on the disc corresponding to the open bose string in external abelian vector field and compute the order ∂3F3-terms in its two-loop β-function. The vanishing of the two-loop β-function (modulo diffeomorphism and gauge terms) is shown to be equivalent (to the given order) to the equation of motion for the string theory effective action reconstructed from the string scattering amplitudes.

MODEL: STRING
string model: boson
FIELD THEORETICAL MODEL: SIGMA
FIELD THEORY: EFFECTIVE ACTION
RENORMALIZATION: BETA FUNCTION
PERTURBATION THEORY: HIGHER-ORDER

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

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