Seiberg-Witten-type maps for currents and energy momentum tensors in noncommutative gauge theories - INSPIRE

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Seiberg-Witten-type maps for currents and energy momentum tensors in noncommutative gauge theories

Dec, 2003

13 pages

Published in:

Phys.Rev.D 70 (2004) 065015

e-Print:

hep-th/0312103 [hep-th]

DOI:

10.1103/PhysRevD.70.065015

Report number:

SNUTP-03-027

View in:

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Abstract:

We derive maps relating the currents and energy-momentum tensors in noncommutative (NC) gauge theories with their commutative equivalents. Some uses of these maps are discussed. Especially, in NC electrodynamics, we obtain a generalization of the Lorentz force law. Also, the same map for anomalous currents relates the Adler-Bell-Jackiw type NC covariant anomaly with the standard commutative-theory anomaly. For the particular case of two dimensions, we discuss the implications of these maps for the Sugawara-type energy-momentum tensor.

11.15.\x{2013}q
11.30.\x{2013}j
11.10.Nx
gauge field theory: U(1)
gauge field theory: Yang-Mills
differential geometry: noncommutative
tensor: energy-momentum
current
anomaly
duality

References(22)

Figures(0)

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

Maxwell's theory on noncommutative spaces and quaternions

S.I. Kruglov
(
- Intl. Educ. Ctr., Toronto
)

- Annales Fond.Broglie 27 (2002) 343-358
•
e-Print:
- hep-th/0110059

The Energy momentum tensor in noncommutative gauge field models

J.M. Grimstrup
(
- Vienna, Tech. U.
)
,
B. Kloibock
(
- Vienna, Tech. U.
)
,
L. Popp
(
- Vienna, Tech. U.
)
,
V. Putz
(
- Leipzig, Max Planck Inst.
)
,
M. Schweda
(
- Vienna, Tech. U.
)

et al.

- Int.J.Mod.Phys.A 19 (2004) 5615-5624
•
e-Print:
- hep-th/0210288
•
DOI:
- 10.1142/S0217751X04021007

On the energy momentum tensor in noncommutative gauge theories

Ashok K. Das
(
- Rochester U.
)
,
J. Frenkel
(
- Sao Paulo U.
)

- Phys.Rev.D 67 (2003) 067701
•
e-Print:
- hep-th/0212122
•
DOI:
- 10.1103/PhysRevD.67.067701

Axial vector vertex in spinor electrodynamics

Stephen L. Adler
(
- Princeton U.
)

- Phys.Rev. 177 (1969) 2426-2438,
•
DOI:
- 10.1103/PhysRev.177.2426

A PCAC puzzle: $\pi^0 \to \gamma \gamma$ in the $\sigma$ model

J.S. Bell
(
- CERN
)
,
R. Jackiw
(
- CERN
)

- Nuovo Cim.A 60 (1969) 47-61
•
DOI:
- 10.1007/BF02823296

Gauge theory on noncommutative spaces

John Madore
(
- Orsay, LPT and
- Munich, Max Planck Inst.
)
,
Stefan Schraml
(
- Munich, Max Planck Inst. and
- Munich U.
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich, Max Planck Inst. and
- Munich U.
)

- Eur.Phys.J.C 16 (2000) 161-167
•
e-Print:
- hep-th/0001203
•
DOI:
- 10.1007/s100520050012

Construction of nonAbelian gauge theories on noncommutative spaces

Branislav Jurco
(
- Munich U.
)
,
Lutz Moller
(
- Munich U. and
- Munich, Max Planck Inst. and
- Humboldt U., Berlin
)
,
Stefan Schraml
(
- Munich U. and
- Humboldt U., Berlin
)
,
Peter Schupp
(
- Munich U.
)
,
Julius Wess
(
- Munich U. and
- Munich, Max Planck Inst. and
- Humboldt U., Berlin
)

- Eur.Phys.J.C 21 (2001) 383-388
•
e-Print:
- hep-th/0104153
•
DOI:
- 10.1007/s100520100731

Deformed QED via Seiberg-Witten map

e-Print:
- hep-th/0102103

Noncommutative field theory and Lorentz violation

Sean M. Carroll
(
- Chicago U., EFI
)
,
Jeffrey A. Harvey
(
- Chicago U., EFI
)
,
V.Alan Kostelecky
(
- Indiana U.
)
,
Charles D. Lane
(
- Colby Coll.
)
,
Takemi Okamoto
(
- Chicago U., EFI
)

- Phys.Rev.Lett. 87 (2001) 141601
•
e-Print:
- hep-th/0105082
•
DOI:
- 10.1103/PhysRevLett.87.141601

Comments on gauge equivalence in noncommutative geometry

Tsuguhiko Asakawa
(
- Kyoto U.
)
,
Isao Kishimoto
(
- Kyoto U.
)

- JHEP 11 (1999) 024
•
e-Print:
- hep-th/9909139
•
DOI:
- 10.1088/1126-6708/1999/11/024

Towards an explicit expression of the Seiberg-Witten map at all orders

Stephane Fidanza
(
- Ecole Polytechnique
)

- JHEP 06 (2002) 016
•
e-Print:
- hep-th/0112027
•
DOI:
- 10.1088/1126-6708/2002/06/016

Chiral gauge anomalies on noncommutative R**4

Jose M. Gracia-Bondia
(
- Madrid U.
)
,
C.P. Martin
(
- Madrid U.
)

- Phys.Lett.B 479 (2000) 321-328
•
e-Print:
- hep-th/0002171
•
DOI:
- 10.1016/S0370-2693(00)00344-0

Axial anomaly in noncommutative QED on R**4

Farhad Ardalan
(
- IPM, Tehran and
- Sharif U. of Tech.
)
,
Neda Sadooghi
(
- IPM, Tehran
)

- Int.J.Mod.Phys.A 16 (2001) 3151-3178
•
e-Print:
- hep-th/0002143
•
DOI:
- 10.1142/S0217751X01004384

Anomalies in noncommutative gauge theories, Seiberg-Witten transformation and Ramond-Ramond couplings

Rabin Banerjee
(
- KEK, Tsukuba
)

- Int.J.Mod.Phys.A 19 (2004) 613
•
e-Print:
- hep-th/0301174
•
DOI:
- 10.1142/S0217751X04017550

Anomaly freedom in Seiberg-Witten noncommutative gauge theories

Friedemann Brandt
(
- Leipzig, Max Planck Inst.
)
,
C.P. Martin
(
- Madrid U.
)
,
F.Ruiz Ruiz
(
- Madrid U.
)

- JHEP 07 (2003) 068
•
e-Print:
- hep-th/0307292
•
DOI:
- 10.1088/1126-6708/2003/07/068

Seiberg-Witten map and the axial anomaly in noncommutative field theory

- Phys.Lett.B 533 (2002) 162-167
•
e-Print:
- hep-th/0110177
•
DOI:
- 10.1016/S0370-2693(02)01566-6

Anomalous Ward identities in spinor field theories

William A. Bardeen
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 184 (1969) 1848-1857
•
DOI:
- 10.1103/PhysRev.184.1848

Comments on the energy momentum tensor in noncommutative field theories

- Phys.Lett.B 514 (2001) 183-188
•
e-Print:
- hep-th/0104244
•
DOI:
- 10.1016/S0370-2693(01)00780-8

Space-time symmetries in noncommutative gauge theory: A Hamiltonian analysis

Subir Ghosh
(
- Indian Statistical Inst., Calcutta
)

e-Print:
- hep-th/0310155

GAUGE COVARIANT CONFORMAL TRANSFORMATIONS

R. Jackiw
(
- MIT, LNS
)

- Phys.Rev.Lett. 41 (1978) 1635
•
DOI:
- 10.1103/PhysRevLett.41.1635

Covariant coordinate transformations on noncommutative space

R. Jackiw
(
- MIT, LNS
)
,
S.Y. Pi
(
- Boston U.
)

- Phys.Rev.Lett. 88 (2002) 111603
•
e-Print:
- hep-th/0111122
•
DOI:
- 10.1103/PhysRevLett.88.111603