On higher derivative corrections of tachyon action

2012

Phys. Rev. D

166

We evaluate in detail the string scattering amplitude to compute different interactions of two massless scalars, one tachyon and one closed string RamondRamond field in type II super string theory. In particular we find two scalar field and two tachyon couplings to all orders of α ′ up to on-shell ambiguity.We then obtain the momentum expansion of this amplitude and apply this infinite number of couplings to actually check that the infinite number of tachyon poles of S-matrix element of this amplitude for the p = n case (where p is the spatial dimension of a D p -brane and n is the rank of a Ramond-Ramond field strength ) to all orders of α ′ is precisely equal to the infinite number of tachyon poles of the field theory. In addition to confirming the couplings of closed string Ramond-Ramond field to the world-volume gauge field and scalar fields including commutators, we also propose an extension of the Wess-Zumino action which naturally reproduces these new couplings in field theory such that they could be confirmed with direct S-matrix computations. Finally we show that the infinite number of massless poles and contact terms of this amplitude for the p = n + 1 case can be reproduced by Chern-Simons, higher derivative corrections of the Wess-Zumino and symmetrized trace tachyon DBI actions.

“…For more information see [21,60]. However, for four and five-point functions, it is really a complicated task to find higher derivative corrections.…”

Section: Firstmentioning

confidence: 99%

“…In the higher derivative orders one must substitute them by a n,m and b n,m . For further details see [6,7,8,23,60].…”

Section: Firstmentioning

confidence: 99%

“…The method for finding those infinite numbers of couplings between two gauge fields and two tachyons has been mentioned in [23,60].…”

Section: Firstmentioning

confidence: 99%

Section: Infinite Number Of Tachyon Poles For P + 1 = N Casementioning

confidence: 99%

See 2 more Smart Citations

Higher derivative corrections to Wess-Zumino and tachyonic actions in type II super string theory

2012

Phys. Rev. D

166

“…Let us apply the prescription to the current case, the higher derivatives vertices of fourscalar fields. The first simple massless scalar pole is reproduced by the non-abelian kinetic terms of the scalar field [28,6],…”

Section: Universality In All-α ′ Order Higher Derivative Corrections mentioning

confidence: 99%

Universality in all-α′order corrections to BPS/non-BPS brane world volume theories

Park

2012

Nuclear Physics B

Knowledge of all-α ′ higher derivative corrections to leading order BPS and non-BPS brane actions would serve in future endeavor of determining the complete form of the non-abelian BPS and tachyonic effective actions. In this paper, we note that there is a universality in the all-α ′ order corrections to BPS and non-BPS branes. We compute amplitudes between one Ramond-Ramond C-field vertex operator and several SYM gauge/scalar vertex operators. Specifically, we evaluate in closed form string correlators of two-point amplitudes A Cφ , A CA , a three-point amplitude A Cφφ , and a four-point amplitude A Cφφφ . We carry out pole and contact term analysis. In particular we reproduce some of the contact terms and the infinite massless poles of A Cφφφ by SYM vertices obtained through the universality.

On effective actions of BPS branes and their higher derivative corrections

2010

J. High Energ. Phys.

115

We calculate in detail the disk level S-matrix element of one Ramond-Ramond field and three gauge field vertex operators in the world volume of BPS branes, to find four gauge field couplings to all orders of α ′ up to on-shell ambiguity. Then using these infinite couplings we find that the massless pole of the field theory amplitude is exactly equal to the massless pole S-matrix element of this amplitude for the p = n case to all orders of α ′ . Finally we show that the infinite massless poles and the contact terms of this amplitude for the p = n + 2 case can be reproduced by the Born-Infeld action and the Wess-Zumino actions, and by their higher derivative corrections.