Induced Chern-Simons and WZW action in noncommutative space-time

Chu, Chong-Sun

doi:10.1016/S0550-3213(00)00246-7

Induced Chern-Simons and WZW action in noncommutative space-time

Chong-Sun Chu
(
- Neuchatel U.
)

Mar, 2000

12 pages

Published in:

Nucl.Phys.B 580 (2000) 352-362

e-Print:

hep-th/0003007 [hep-th]

DOI:

10.1016/S0550-3213(00)00246-7

Report number:

NEIP-00-004

View in:

pdf

reference search72 citations

Citations per year

Abstract:

We consider noncommutative gauge theory with Dirac or Majorana fermions in odd dimensional spacetime and compute the induced noncommutative Chern-Simons action generated at 1-loop. We observe that the Chern-Simons term induced by a Dirac fermion has a smooth limit when

\th ---> 0

, but there is a finite jump for the Chern-Simons term induced by a Majorana spinor. The induced Chern-Simons action from a Majorana spinor is nonvanishing even in the

\th ---> 0

limit, a discontinuity that shares a similar characteristic as the UV/IR singularity discovered originally by Minwalla, Raamsdonk and Seiberg. Properties of the noncommutative WZW action are also discussed.

11.25.Db
11.30.Ly
11.15.Tk
String theory in backgrounds
Noncommutative geometry
Anomaly
Chern–Simons action
fermion
gauge field theory: U(1)
gauge field theory: induced

References(53)

Figures(0)

Gauge Noninvariance and Parity Violation of Three-Dimensional Fermions

A.N. Redlich
(
- MIT, LNS
)

- Phys.Rev.Lett. 52 (1984) 18,
- Phys. Rev. Lett. 52 (1984) 18-21 and Mit Cambridge - CTP-1107 (83,REC.OCT.) 10p,
•
DOI:
- 10.1103/PhysRevLett.52.18

Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three-Dimensions

A.N. Redlich
(
- MIT, LNS
)

- Phys.Rev.D 29 (1984) 2366-2374,
•
DOI:
- 10.1103/PhysRevD.29.2366

Axial Anomaly Induced Fermion Fractionization and Effective Gauge Theory Actions in Odd Dimensional Space-Times

A.J. Niemi
(
- Princeton, Inst. Advanced Study and
- Helsinki U.
)
,
G.W. Semenoff
(
- British Columbia U.
)

- Phys.Rev.Lett. 51 (1983) 2077
•
DOI:
- 10.1103/PhysRevLett.51.2077

Aspects of Chern-Simons theory

Gerald V. Dunne
(
- Connecticut U.
)

e-Print:
- hep-th/9902115

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

D-branes and the noncommutative torus

- JHEP 02 (1998) 008,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 298-301
•
e-Print:
- hep-th/9711165
•
DOI:
- 10.1088/1126-6708/1998/02/008

Noncommutative open string and D-brane

Chong-Sun Chu
(
- Neuchatel U.
)
,
Pei-Ming Ho
(
- Taiwan, Natl. Taiwan U.
)

- Nucl.Phys.B 550 (1999) 151-168,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 302-316
•
e-Print:
- hep-th/9812219
•
DOI:
- 10.1016/S0550-3213(99)00199-6

D-branes and deformation quantization

Volker Schomerus
(
- Hamburg U. and
- Mittag-Leffler Inst.
)

- JHEP 06 (1999) 030,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 317-326
•
e-Print:
- hep-th/9903205
•
DOI:
- 10.1088/1126-6708/1999/06/030

Matrix theory in a constant C field background

Chong-Sun Chu
(
- Neuchatel U.
)
,
Pei-Ming Ho
(
- Taiwan, Natl. Taiwan U.
)
,
Miao Li
(
- Beijing, Inst. Theor. Phys. and
- Taiwan, Natl. Taiwan U.
)

- Nucl.Phys.B 574 (2000) 275-287
•
e-Print:
- hep-th/9911153
•
DOI:
- 10.1016/S0550-3213(00)00048-1

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

Divergencies in a field theory on quantum space

T. Filk
(
- Saarland U.
)

- Phys.Lett.B 376 (1996) 53-58,
- In *Li, M. (ed.) et al.: Physics in non-commutative world*
•
DOI:
- 10.1016/0370-2693(96)00024-X

On the ultraviolet behavior of quantum fields over noncommutative manifolds

- Int.J.Mod.Phys.A 14 (1999) 1305
•
e-Print:
- hep-th/9804001
•
DOI:
- 10.1142/S0217751X99000671

Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences

M. Chaichian
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
A. Demichev
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
P. Presnajder
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)

- Nucl.Phys.B 567 (2000) 360-390
•
e-Print:
- hep-th/9812180
•
DOI:
- 10.1016/S0550-3213(99)00664-1

Quantum field theory on the noncommutative plane with E(q)(2) symmetry

M. Chaichian
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
A. Demichev
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
P. Presnajder
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)

- J.Math.Phys. 41 (2000) 1647-1671
•
e-Print:
- hep-th/9904132
•
DOI:
- 10.1063/1.533201

The one loop UV divergent structure of U(1) Yang-Mills theory on noncommutative R**4

C.P. Martin
(
- Madrid U.
)
,
D. Sanchez-Ruiz
(
- Madrid U.
)

- Phys.Rev.Lett. 83 (1999) 476-479
•
e-Print:
- hep-th/9903077
•
DOI:
- 10.1103/PhysRevLett.83.476

Perturbative quantum gauge fields on the noncommutative torus

Thomas Krajewski
(
- Marseille, CPT and
- Provence U.
)
,
Raimar Wulkenhaar
(
- Marseille, CPT and
- Leipzig U.
)

- Int.J.Mod.Phys.A 15 (2000) 1011-1030
•
e-Print:
- hep-th/9903187
•
DOI:
- 10.1142/S0217751X00000495

Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus

M.M. Sheikh-Jabbari
(
- IPM, Tehran
)

- JHEP 06 (1999) 015
•
e-Print:
- hep-th/9903107
•
DOI:
- 10.1088/1126-6708/1999/06/015

Magnetic fields, branes and noncommutative geometry

- Phys.Rev.D 62 (2000) 066004,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 414-425
•
e-Print:
- hep-th/9908056
•
DOI:
- 10.1103/PhysRevD.62.066004

Noncommutative geometry on a discrete periodic lattice and gauge theory

Itzhak Bars
(
- Caltech and
- Southern California U.
)
,
Djordje Minic
(
- Caltech and
- Southern California U.
)

- Phys.Rev.D 62 (2000) 105018
•
e-Print:
- hep-th/9910091
•
DOI:
- 10.1103/PhysRevD.62.105018

Nonperturbative dynamics of noncommutative gauge theory

Jan Ambjorn
(
- Bohr Inst.
)
,
Y.M. Makeenko
(
- Bohr Inst. and
- Moscow, ITEP
)
,
J. Nishimura
(
- Bohr Inst.
)
,
R.J. Szabo
(
- Bohr Inst.
)

- Phys.Lett.B 480 (2000) 399-408
•
e-Print:
- hep-th/0002158
•
DOI:
- 10.1016/S0370-2693(00)00391-9

Renormalization of quantum field theories on noncommutative R**d. 1. Scalars

Iouri Chepelev
(
- SUNY, Stony Brook
)
,
Radu Roiban
(
- SUNY, Stony Brook
)

- JHEP 05 (2000) 037
•
e-Print:
- hep-th/9911098
•
DOI:
- 10.1088/1126-6708/2000/05/037

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

Two loop diagrams in noncommutative phi**4(4) theory

I.Ya. Aref'eva
(
- Steklov Math. Inst., Moscow
)
,
D.M. Belov
(
- Moscow State U.
)
,
A.S. Koshelev
(
- Moscow State U.
)

- Phys.Lett.B 476 (2000) 431-436
•
e-Print:
- hep-th/9912075
•
DOI:
- 10.1016/S0370-2693(00)00169-6

A Note on UV / IR for noncommutative complex scalar field

I.Ya. Aref'eva
(
- Steklov Math. Inst., Moscow
)
,
D.M. Belov
(
- Moscow State U.
)
,
A.S. Koshelev
(
- Moscow State U.
)

e-Print:
- hep-th/0001215

Comments on noncommutative perturbative dynamics

- JHEP 03 (2000) 035
•
e-Print:
- hep-th/0002186
•
DOI:
- 10.1088/1126-6708/2000/03/035

1-25 of 53
1
2
3
25 / page