Abstract
To study noncommutativity properties of the open string with constant B field, we construct a mechanical action that reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization procedure for constrained systems in a direct and unambiguous way. The mechanical action turns out to be the first order system without taking the strong field limit B→∞. In particular, it is true for the zero mode of the string coordinate, which means that the noncommutativity is an intrinsic property of this mechanical system. We describe the arbitrariness in the relation existing between the mechanical and the string variables and show that noncommutativity of the string variables on the boundary can be removed. This is in correspondence with the result of Seiberg and Witten on the relation among noncommutative and ordinary Yang-Mills theories. The recently developed soldering formalism helps us to establish a connection between the original open string action and the Polyakov action.
| Original language | English |
|---|---|
| Article number | 064007 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 76 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 12 Sep 2007 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
Cite this
Open string with a background B field as the first order mechanics, noncommutativity, and soldering formalism. / Deriglazov, A. A.; Neves, C.; Oliveira, W.; Abreu, E. M C; Wotzasek, C.; Filgueiras, C.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 76, No. 6, 064007, 12.09.2007.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Open string with a background B field as the first order mechanics, noncommutativity, and soldering formalism
AU - Deriglazov, A. A.
AU - Neves, C.
AU - Oliveira, W.
AU - Abreu, E. M C
AU - Wotzasek, C.
AU - Filgueiras, C.
PY - 2007/9/12
Y1 - 2007/9/12
N2 - To study noncommutativity properties of the open string with constant B field, we construct a mechanical action that reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization procedure for constrained systems in a direct and unambiguous way. The mechanical action turns out to be the first order system without taking the strong field limit B→∞. In particular, it is true for the zero mode of the string coordinate, which means that the noncommutativity is an intrinsic property of this mechanical system. We describe the arbitrariness in the relation existing between the mechanical and the string variables and show that noncommutativity of the string variables on the boundary can be removed. This is in correspondence with the result of Seiberg and Witten on the relation among noncommutative and ordinary Yang-Mills theories. The recently developed soldering formalism helps us to establish a connection between the original open string action and the Polyakov action.
AB - To study noncommutativity properties of the open string with constant B field, we construct a mechanical action that reproduces classical dynamics of the string sector under consideration. It allows one to apply the Dirac quantization procedure for constrained systems in a direct and unambiguous way. The mechanical action turns out to be the first order system without taking the strong field limit B→∞. In particular, it is true for the zero mode of the string coordinate, which means that the noncommutativity is an intrinsic property of this mechanical system. We describe the arbitrariness in the relation existing between the mechanical and the string variables and show that noncommutativity of the string variables on the boundary can be removed. This is in correspondence with the result of Seiberg and Witten on the relation among noncommutative and ordinary Yang-Mills theories. The recently developed soldering formalism helps us to establish a connection between the original open string action and the Polyakov action.
UR - http://www.scopus.com/inward/record.url?scp=34548769387&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34548769387&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.76.064007
DO - 10.1103/PhysRevD.76.064007
M3 - Article
AN - SCOPUS:34548769387
VL - 76
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 6
M1 - 064007
ER -