The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP$^{N-1}$ Model

Charneski, B.; Gomes, M.; Mariz, T.; Nascimento, J.R.; da Silva, A.J.

doi:10.1103/PhysRevD.82.105029

The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP $^{N-1}$ Model

Jul, 2010

11 pages

Published in:

Phys.Rev.D 82 (2010) 105029

e-Print:

1007.1645 [hep-th]

DOI:

10.1103/PhysRevD.82.105029

View in:

ADS Abstract Service

pdf

reference search2 citations

Citations per year

Abstract: (arXiv)

In the context of the

1/N

expansion, the validity of the Slavnov-Taylor identity relating three and two point functions for the

2+1

dimensional noncommutative CP

^{N-1}

model is investigated, up to subleading

1/N

order, in the Landau gauge.

11.15.-q
11.10.Gh
11.10.Nx
expansion 1/N
dimension: 3
Slavnov identity
space-time: noncommutative
field theoretical model: CP(N)
two-point function
Landau gauge

References(22)

Figures(5)

Ward Identities in Gauge Theories

A.A. Slavnov
(
- Steklov Math. Inst., Moscow
)

- Theor.Math.Phys. 10 (1972) 99-107,
- Teor.Mat.Fiz. 10 (1972) 153-161,
- In *Lai, C. H. ( Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 264-272
•
DOI:
- 10.1007/BF01090719

Ward Identities and Charge Renormalization of the Yang-Mills Field

J.C. Taylor
(
- Oxford U.
)

- Nucl.Phys.B 33 (1971) 436-444,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 255-263
•
DOI:
- 10.1016/0550-3213(71)90297-5

Regularization and Renormalization of Gauge Fields

Gerard 't Hooft
(
- Utrecht U.
)
,
M.J.G. Veltman
(
- Utrecht U.
)

- Nucl.Phys.B 44 (1972) 189-213,
- Also in *Lai, C. H. ( Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 322-346
•
DOI:
- 10.1016/0550-3213(72)90279-9

The Quantum structure of space-time at the Planck scale and quantum fields

- Commun.Math.Phys. 172 (1995) 187-220
•
e-Print:
- hep-th/0303037
•
DOI:
- 10.1007/BF02104515

Noncommutative perturbative dynamics

Shiraz Minwalla
(
- Princeton U.
)
,
Mark Van Raamsdonk
(
- Princeton U.
)
,
Nathan Seiberg
(
- Princeton, Inst. Advanced Study
)

- JHEP 02 (2000) 020,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 426-451
•
e-Print:
- hep-th/9912072
•
DOI:
- 10.1088/1126-6708/2000/02/020

C, P, and T invariance of noncommutative gauge theories

M.M. Sheikh-Jabbari
(
- ICTP, Trieste
)

- Phys.Rev.Lett. 84 (2000) 5265-5268
•
e-Print:
- hep-th/0001167
•
DOI:
- 10.1103/PhysRevLett.84.5265

Spin statistics and CPT theorems in noncommutative field theory

M. Chaichian
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
K. Nishijima
(
- Nishina Memorial Found., Tokyo
)
,
A. Tureanu
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)

- Phys.Lett.B 568 (2003) 146-152
•
e-Print:
- hep-th/0209008
•
DOI:
- 10.1016/j.physletb.2003.06.009

Noncommutative field theory and spontaneous symmetry breaking

Bruce A. Campbell
(
- Alberta U.
)
,
Kirk Kaminsky
(
- Alberta U.
)

- Nucl.Phys.B 581 (2000) 240-256
•
e-Print:
- hep-th/0003137
•
DOI:
- 10.1016/S0550-3213(00)00269-8

Noncommutative linear sigma models

Bruce A. Campbell
(
- Alberta U.
)
,
Kirk Kaminsky
(
- Alberta U.
)

- Nucl.Phys.B 606 (2001) 613-635
•
e-Print:
- hep-th/0102022
•
DOI:
- 10.1016/S0550-3213(01)00189-4

Perturbative analysis on infrared aspects of noncommutative QED on R**4

M. Hayakawa
(
- KEK, Tsukuba
)

- Phys.Lett.B 478 (2000) 394-400
•
e-Print:
- hep-th/9912094
•
DOI:
- 10.1016/S0370-2693(00)00242-2

Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R**4

M. Hayakawa
(
- KEK, Tsukuba
)

e-Print:
- hep-th/9912167

Ward identity in noncommutative QED

- Int.J.Mod.Phys.A 18 (2003) 5433-5444
•
e-Print:
- hep-ph/0211416
•
DOI:
- 10.1142/S0217751X03015945

The (2+1)-dimensional noncommutative CP**(N-1) model

- Phys.Rev.D 69 (2004) 065012
•
e-Print:
- hep-th/0307114
•
DOI:
- 10.1103/PhysRevD.69.065012

Slavnov-Taylor identities for noncommutative QED $_4$

- Phys.Rev.D 81 (2010) 105025
•
e-Print:
- 1002.1045
•
DOI:
- 10.1103/PhysRevD.81.105025

PHASE TRANSITION IN THE THREE-DIMENSIONAL CHIRAL FIELD

I.Ya. Arefeva
(
- Steklov Math. Inst., St. Petersburg
)

- Annals Phys. 117 (1979) 393-406
•
DOI:
- 10.1016/0003-4916(79)90361-0

RENORMALIZATION AND PHASE TRANSITION IN THE QUANTUM CP**(n-1) MODEL (D = 2, 3)

- Nucl.Phys.B 162 (1980) 298-310
•
DOI:
- 10.1016/0550-3213(80)90266-7

Noncommutative field theory

Michael R. Douglas
(
- Rutgers U., Piscataway and
- IHES, Bures-sur-Yvette
)
,
Nikita A. Nekrasov
(
- IHES, Bures-sur-Yvette and
- Moscow, ITEP
)

- Rev.Mod.Phys. 73 (2001) 977-1029
•
e-Print:
- hep-th/0106048
•
DOI:
- 10.1103/RevModPhys.73.977

Quantum field theory on noncommutative spaces

Richard J. Szabo
(
- Heriot-Watt U.
)

- Phys.Rept. 378 (2003) 207-299
•
e-Print:
- hep-th/0109162
•
DOI:
- 10.1016/S0370-1573(03)00059-0

Noncommutative geometry and matrix theory: Compactification on tori

Alain Connes
(
- IHES, Bures-sur-Yvette
)
,
Michael R. Douglas
(
- IHES, Bures-sur-Yvette and
- Rutgers U., Piscataway
)
,
Albert S. Schwarz
(
- IHES, Bures-sur-Yvette and
- Rutgers U., Piscataway and
- UC, Davis
)

- JHEP 02 (1998) 003,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 178-206
•
e-Print:
- hep-th/9711162
•
DOI:
- 10.1088/1126-6708/1998/02/003

String theory and noncommutative geometry

- JHEP 09 (1999) 032,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 327-401
•
e-Print:
- hep-th/9908142
•
DOI:
- 10.1088/1126-6708/1999/09/032

The Three-dimensional noncommutative Gross-Neveu model

- J.Phys.A 40 (2007) 3633-3642
•
e-Print:
- hep-th/0605239
•
DOI:
- 10.1088/1751-8113/40/13/020

Quantum Chromodynamics: A Review

William J. Marciano
(
- Rockefeller U.
)
,
Heinz Pagels
(
- Rockefeller U.
)

- Phys.Rept. 36 (1978) 137
•
DOI:
- 10.1016/0370-1573(78)90208-9

The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CPN−1^{N-1}N−1 Model

Citations per year

The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP $^{N-1}$ Model