Conformal mapping and vertex operators in the light-cone gauge. (English) Zbl 0727.47044
Summary: Using Fourier coefficients of Neumann functions for the tree scattering in the light-cone gauge, an open-string field operator \(\Psi^ p(X(x),\{\alpha_{-m}\})\) generating “off-shell” vertex operators, which are reduced in the mass-shell case to already proposed general vertex operators, is introduced.
MSC:
| 47N50 | Applications of operator theory in the physical sciences |
| 47A40 | Scattering theory of linear operators |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
Keywords:
off-shell vertex operators; Fourier coefficients of Neumann functions; tree scattering in the light-cone gauge; open-string field operatorReferences:
| [1] | DOI: 10.1016/0550-3213(73)90622-6 · doi:10.1016/0550-3213(73)90622-6 |
| [2] | DOI: 10.1016/0550-3213(88)90642-6 · doi:10.1016/0550-3213(88)90642-6 |
| [3] | DOI: 10.1103/PhysRevD.11.3565 · doi:10.1103/PhysRevD.11.3565 |
| [4] | DOI: 10.1016/S0550-3213(86)80006-2 · doi:10.1016/S0550-3213(86)80006-2 |
| [5] | DOI: 10.1016/0550-3213(87)90068-X · doi:10.1016/0550-3213(87)90068-X |
| [6] | DOI: 10.1016/0550-3213(87)90068-X · doi:10.1016/0550-3213(87)90068-X |
| [7] | DOI: 10.1103/PhysRevLett.54.502 · doi:10.1103/PhysRevLett.54.502 |
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