TY - JOUR

T1 - Exact potential and scattering amplitudes from the tachyon non-linear β-function

AU - Coletti, Erasmo

AU - Forini, Valentina

AU - Nardelli, Giuseppe

AU - Grignani, Gianluca

AU - Grignani, Gianluca Luigi

AU - Orselli, Marta

AU - Orselli, Matteo

PY - 2004

Y1 - 2004

N2 - We compute, on the disk, the non-linear tachyon β-function, βT, of the open bosonic string theory. βT is determined both in an expansion to the third power of the field and to all orders in derivatives and in an expansion to any power of the tachyon field in the leading order in derivatives. We construct the Witten-Shatashvili (WS) space-time effective action S and prove that it has a very simple universal form in terms of the renormalized tachyon field and βT. The expression for S is well suited to studying both processes that are far off-shell, such as tachyon condensation, and close to the mass-shell, such as perturbative on-shell amplitudes. We evaluate S in a small derivative expansion, providing the exact tachyon potential. The normalization of S is fixed by requiring that the field redefinition that maps S into the tachyon effective action derived from the cubic string field theory is regular on-shell. The normalization factor is in precise agreement with the one required for verifying all the conjectures on tachyon condensation. The coordinates in the space of couplings in which the tachyon β-function is non linear are the most appropriate to study RG fixed points that can be interpreted as solitons of S, i.e. D-branes. © SISSA/ISAS 2004.

AB - We compute, on the disk, the non-linear tachyon β-function, βT, of the open bosonic string theory. βT is determined both in an expansion to the third power of the field and to all orders in derivatives and in an expansion to any power of the tachyon field in the leading order in derivatives. We construct the Witten-Shatashvili (WS) space-time effective action S and prove that it has a very simple universal form in terms of the renormalized tachyon field and βT. The expression for S is well suited to studying both processes that are far off-shell, such as tachyon condensation, and close to the mass-shell, such as perturbative on-shell amplitudes. We evaluate S in a small derivative expansion, providing the exact tachyon potential. The normalization of S is fixed by requiring that the field redefinition that maps S into the tachyon effective action derived from the cubic string field theory is regular on-shell. The normalization factor is in precise agreement with the one required for verifying all the conjectures on tachyon condensation. The coordinates in the space of couplings in which the tachyon β-function is non linear are the most appropriate to study RG fixed points that can be interpreted as solitons of S, i.e. D-branes. © SISSA/ISAS 2004.

KW - Tachyon Condensation

KW - String Field Theory

KW - Tachyon Condensation

KW - String Field Theory

UR - http://hdl.handle.net/10807/290916

M3 - Article

SN - 1029-8479

VL - 8

SP - 683

EP - 712

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

ER -