On the N-pion extension of the Lovelace-Shapiro model
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On the N-pion extension of the Lovelace-Shapiro model. / Bianchi, Massimo; Consoli, Dario; Di Vecchia, Paolo.
In: Journal of High Energy Physics, Vol. 2021, No. 3, 119, 11.03.2021.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On the N-pion extension of the Lovelace-Shapiro model
AU - Bianchi, Massimo
AU - Consoli, Dario
AU - Di Vecchia, Paolo
PY - 2021/3/11
Y1 - 2021/3/11
N2 - We reconsider a modification of the N-point amplitude of the Neveu-Schwarz (NS) model in which the tachyon becomes a pion by shifting its mass to zero and keeping the super-projective invariance of the integrand of the amplitude. For the scattering of four particles it reduces to the amplitude written by Lovelace and Shapiro that has Adler zeroes. We confirm that also the N-pion amplitude has Adler zeroes and show that it reduces to that of the non-linear sigma -model for alpha ' -> 0 keeping F-pi fixed. The four- and six-point flavour-ordered amplitudes satisfy tree-level unitarity since they can be derived from the correspondent amplitudes of the NS model in ten dimensions by suitably choosing the components of the momenta of the external mesons in the six extra dimensions. Negative norm states (ghosts) are shown to appear instead in higher-point amplitudes. We also discuss several amplitudes involving different external mesons.
AB - We reconsider a modification of the N-point amplitude of the Neveu-Schwarz (NS) model in which the tachyon becomes a pion by shifting its mass to zero and keeping the super-projective invariance of the integrand of the amplitude. For the scattering of four particles it reduces to the amplitude written by Lovelace and Shapiro that has Adler zeroes. We confirm that also the N-pion amplitude has Adler zeroes and show that it reduces to that of the non-linear sigma -model for alpha ' -> 0 keeping F-pi fixed. The four- and six-point flavour-ordered amplitudes satisfy tree-level unitarity since they can be derived from the correspondent amplitudes of the NS model in ten dimensions by suitably choosing the components of the momenta of the external mesons in the six extra dimensions. Negative norm states (ghosts) are shown to appear instead in higher-point amplitudes. We also discuss several amplitudes involving different external mesons.
KW - Bosonic Strings
KW - Conformal Field Models in String Theory
KW - D-branes
U2 - 10.1007/JHEP03(2021)119
DO - 10.1007/JHEP03(2021)119
M3 - Journal article
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 3
M1 - 119
ER -
ID: 259824539