Geodesic
Descent relations and the oscillator level-truncation method
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 5-25 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We reexamine the oscillator level-truncation method in the bosonic string field theory by calculating the descent relation $\langle V_3\mid V_1\rangle=\widetilde{Z}_3\langle V_2|$. We use the fermionic vertices in the standard oscillator basis for the ghost sector. We propose two new calculation schemes: in the first, we assume that the insertion satisfies the overlap equation for the vertices; in the second, we use direct calculations. In both schemes, we obtain the correct structures of the exponent and preexponent of the vertex $\langle V_2|$, but we find different normalization factors $\widetilde Z_3$ .
Keywords: string field theory, level truncation. 
@article{TMF_2007_150_1_a0,
     author = {I. Ya. Aref'eva and R. V. Gorbachev and P. B. Medvedev and D. V. Rychkov},
     title = {Descent relations and the~oscillator level-truncation method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {5--25},
     year = {2007},
     volume = {150},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a0/}
}
TY  - JOUR
AU  - I. Ya. Aref'eva
AU  - R. V. Gorbachev
AU  - P. B. Medvedev
AU  - D. V. Rychkov
TI  - Descent relations and the oscillator level-truncation method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2007
SP  - 5
EP  - 25
VL  - 150
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a0/
LA  - ru
ID  - TMF_2007_150_1_a0
ER  - 
%0 Journal Article
%A I. Ya. Aref'eva
%A R. V. Gorbachev
%A P. B. Medvedev
%A D. V. Rychkov
%T Descent relations and the oscillator level-truncation method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2007
%P 5-25
%V 150
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a0/
%G ru
%F TMF_2007_150_1_a0
I. Ya. Aref'eva; R. V. Gorbachev; P. B. Medvedev; D. V. Rychkov. Descent relations and the oscillator level-truncation method. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 1, pp. 5-25. http://geodesic.mathdoc.fr/item/TMF_2007_150_1_a0/

[1] E. Witten, Nucl. Phys. B, 268 (1986), 253 | DOI | MR

[2] D. Gross, A. Jevicki, Nucl. Phys. B, 283 (1987), 1 | DOI | MR

[3] A. LeClair, M. Peskin, C. Preitschopf, Nucl. Phys. B, 317 (1989), 411 ; 464 | DOI | MR | MR

[4] K. Ohmori, A review on tachyon condensation in open string field theories, hep-th/0102085

[5] W. Taylor, B. Zwiebach, D-branes, tachyons, and string field theory, hep-th/0311017 | MR

[6] E. Cremmer, A. Schwimmer, C. B. Thorn, Phys. Lett. B, 179 (1986), 57 | DOI | MR

[7] S. Samuel, Phys. Lett. B, 181 (1986), 255 | DOI | MR

[8] N. Ohta, Phys. Rev. D, 34 (1986), 3785 ; 35 (1987), 2627 (E) | DOI | MR | DOI | MR

[9] W. Taylor, Perturbative diagrams in string field theory, hep-th/0207132

[10] V. A. Kostelecky, S. Samuel, Nucl. Phys. B, 336 (1990), 263 | DOI

[11] N. Moeller, W. Taylor, Nucl. Phys. B, 583 (2000), 105 ; hep-th/0002237 | DOI | MR | Zbl

[12] A. Sen, B. Zwiebach, JHEP, 03 (2000), 002 ; ; L. Rastelli, A. Sen, B. Zwiebach, Adv. Theor. Math. Phys., 5 (2002), 393 ; ; I. Ya. Aref'eva, D. M. Belov, A. S. Koshelev, P. B. Medvedev, Nucl. Phys. B, 638 (2002), 3 ; ; ; ; K. Ohmori, Level-expansion analysis in NS superstring field theory revisited, hep-th/9912249hep-th/0102112hep-th/0011117hep-th/0107197hep-th/0305103 | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl | MR | Zbl

[13] E. Fuchs, M. Kroyter, JHEP, 12 (2005), 031 ; hep-th/0508010 | DOI | MR

[14] D. M. Belov, A. Konechny, JHEP, 10 (2002), 049 ; ; Phys. Lett. B, 558 (2003), 111 ; ; E. Fuchs, M. Kroyter, A. Marcus, JHEP, 11 (2002), 046 ; ; 11, 2003 ; hep-th/0207174hep-th/0210169hep-th/0210155hep-th/0307148 | DOI | MR | DOI | MR | Zbl | DOI | MR | DOI | MR

[15] D. M. Belov, Phys. Rev. D, 69 (2004), 126001 ; hep-th/0308147 | DOI | MR

[16] L. Rastelli, A. Sen, B. Zwiebach, JHEP, 03 (2002), 029 ; hep-th/0111281 | DOI | MR

[17] I. Y. Aref'eva, P. B. Medvedev, A. P. Zubarev, Phys. Lett. B, 240 (1990), 356 | DOI | MR

[18] S. Samuel, Nucl. Phys. B, 296 (1988), 187 | DOI | MR

[19] V. A. Kostelecky, R. Potting, Phys. Rev. D, 63 (2001), 046007 ; hep-th/0008252 | DOI | MR

[20] I. Kishimoto, JHEP, 12 (2001), 007 ; hep-th/0110124 | DOI | MR

[21] K. Okuyama, JHEP, 03 (2002), 050 ; hep-th/0201136 | DOI | MR