Locality in free string field theory. (English) Zbl 0978.81072
Summary: Free string field operators are constructed for the open bosonic string in the light cone gauge in any dimension. These are naturally localized by the center of mass coordinate. Relative to this localization they are shown to have a causal commutator provided there are no tachyons. For the critical string in \(d= 26\) the result still holds if the tachyon is suppressed. We also show a causal commutator relative to the “string light cone”.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 46N50 | Applications of functional analysis in quantum physics |
| 81T08 | Constructive quantum field theory |
Keywords:
string light cone; open bosonic string; light cone gauge; any dimension; center of mass coordinate; causal commutator; critical stringReferences:
| [1] | Martinec E., Class. Quantum Grav. 10 pp L187– (1993) · Zbl 0788.53099 · doi:10.1088/0264-9381/10/10/002 |
| [2] | Lowe D., Phys. Lett. B 326 pp 223– (1994) · doi:10.1016/0370-2693(94)91314-5 |
| [3] | DOI: 10.1016/0550-3213(73)90223-X · doi:10.1016/0550-3213(73)90223-X |
| [4] | Lowe D., Phys. Lett. B 327 pp 226– (1994) · doi:10.1016/0370-2693(94)90722-6 |
| [5] | Grundling H., Commun. Math. Phys. 156 pp 473– (1993) · Zbl 0790.46057 · doi:10.1007/BF02096861 |
| [6] | Dimock J., Ann. Phys. 175 pp 366– (1987) · Zbl 0628.53080 · doi:10.1016/0003-4916(87)90214-4 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
