Bosonic String Quantization in Static Gauge - INSPIRE

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Bosonic String Quantization in Static Gauge

George Jorjadze
(
- Humboldt U., Berlin and
- Razmadze Math. Inst. and
- Tbilisi State U.
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Jonas Pollok
(
- Humboldt U., Berlin
)

Jul, 2012

10 pages

Published in:

J.Phys.A 45 (2012) 485401

e-Print:

1207.4368 [hep-th]

DOI:

10.1088/1751-8113/45/48/485401

Report number:

HU-EP-12-22

View in:

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Abstract: (arXiv)

The bosonic string in D dimensional Minkowski space-time is quantized in static gauge. It is shown that the system can be described by D-1 massless free fields constrained on the surface L_m = 0, for m \neq 0, where L_m are the generators of conformal transformations. The free fields are quantized and the physical states are selected by the conditions L_m|phys>=0, for m>0. The Poincar\'e group generators on the physical Hilbert space are constructed and the critical dimension D=26 is recovered from the commutation relations of the boost operators. The equivalence with the covariant quantization is established. A possible generalization to the AdS string dynamics is discussed.

Note:

10 pages

string model: boson
string: quantization
transformation: conformal
space-time: Minkowski
commutation relations
anti-de Sitter
Hamiltonian
invariance: Lorentz
algebra: Virasoro

References(10)

Figures(0)

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