Batalin-Tyutin quantization of the (2+1)-dimensional nonAbelian Chern-Simons field theory - INSPIRE

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Batalin-Tyutin quantization of the (2+1)-dimensional nonAbelian Chern-Simons field theory

Won Tae Kim
(
- Seoul Natl. U.
)
,
Young-Jai Park
(
- Sogang U.
)

Mar, 1994

11 pages

Published in:

Phys.Lett.B 336 (1994) 376-380

e-Print:

hep-th/9403188 [hep-th]

DOI:

10.1016/0370-2693(94)90548-7

Report number:

SNUTP-94-32,
SOGANG-HEP-189-94

View in:

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Abstract:

The (2+1) dimensional nonabelian Chern-Simons theory coupled to complex scalar fields is quantized by using the Batalin-Tyutin canonical Hamiltonian method which systematically embeds second-class constraint system into first-class one. We obtain the gauge-invariant nonabelian Wess-Zumino type action in the extended phase space.

gauge field theory: Yang-Mills
Chern-Simons term
dimension: 3
field theory: scalar
quantization: constraint
Hamiltonian formalism
path integral: measure

References(24)

Figures(0)

QUANTIZATION OF RELATIVISTIC SYSTEMS WITH CONSTRAINTS

- Phys.Lett.B 55 (1975) 224-226
•
DOI:
- 10.1016/0370-2693(75)90448-7

Hamiltonian Form of the Path Integral for Theories with a Gauge Freedom

M. Henneaux
(
- Texas U.
)

- Phys.Rept. 126 (1985) 1-66
•
DOI:
- 10.1016/0370-1573(85)90103-6

Renormalization of Gauge Theories

- Annals Phys. 98 (1976) 287-321,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 416-450
•
DOI:
- 10.1016/0003-4916(76)90156-1

Local Covariant Operator Formalism of Nonabelian Gauge Theories and Quark Confinement Problem

Taichiro Kugo
(
- Kyoto U.
)
,
Izumi Ojima
(
- Kyoto U., RIMS
)

- Prog.Theor.Phys.Suppl. 66 (1979) 1-130
•
DOI:
- 10.1143/PTPS.66.1

Operatorial Quantization of Dynamical Systems Subject to Second Class Constraints

I.A. Batalin
(
- Lebedev Inst.
)
,
E.S. Fradkin
(
- Lebedev Inst.
)

- Nucl.Phys.B 279 (1987) 514-528
•
DOI:
- 10.1016/0550-3213(87)90007-1

Operator Quantization of Dynamical Systems With Irreducible First and Second Class Constraints

I.A. Batalin
(
- Lebedev Inst.
)
,
E.S. Fradkin
(
- Lebedev Inst.
)

- Phys.Lett.B 180 (1986) 157-162,
- Phys.Lett.B 236 (1990) 528 (erratum)
•
DOI:
- 10.1016/0370-2693(86)90154-1

Existence theorem for the effective gauge algebra in the generalized canonical formalism with Abelian conversion of second class constraints

- Int.J.Mod.Phys.A 6 (1991) 3255-3282
•
DOI:
- 10.1142/S0217751X91001581

Realization of the Schwinger Term in the Gauss Law and the Possibility of Correct Quantization of a Theory with Anomalies

- Phys.Lett.B 167 (1986) 225-228,
- Phys. Lett. B167 ( 1986) 225-228
•
DOI:
- 10.1016/0370-2693(86)90604-0

Quantization of Gauge Theories with Weyl Fermions

O. Babelon
(
- Paris U., VI-VII
)
,
F.A. Schaposnik
(
- Paris U., VI-VII
)
,
C.M. Viallet
(
- Paris U., VI-VII
)

- Phys.Lett.B 177 (1986) 385-388
•
DOI:
- 10.1016/0370-2693(86)90773-2

On the Path Integral Quantization of Anomalous Gauge Theories

Koji Harada
(
- Tokyo Inst. Tech.
)
,
Izumi Tsutsui
(
- Tokyo Inst. Tech.
)

- Phys.Lett.B 183 (1987) 311-314
•
DOI:
- 10.1016/0370-2693(87)90970-1

Consequences of anomalous Ward identities

J. Wess
(
- CERN and
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

- Phys.Lett.B 37 (1971) 95-97
•
DOI:
- 10.1016/0370-2693(71)90582-X

Anomalous Gauge Theories and Subcritical Strings Based on the Batalin-fradkin Formalism

- Nucl.Phys.B 341 (1990) 695-713
•
DOI:
- 10.1016/0550-3213(90)90545-O

The chiral Schwinger model based on the Batalin-Fradkin-Vilkovisky formalism

et al.

- Phys.Rev.D 46 (1992) 4574-4579
•
DOI:
- 10.1103/PhysRevD.46.4574

Anomalous nonAbelian gauge theories based on the Batalin-Fradkin formalism

- Phys.Lett.B 251 (1990) 427-433
•
DOI:
- 10.1016/0370-2693(90)90730-T

{BRST} Quantization of {Chern-Simons} Gauge Theory

- Mod.Phys.Lett.A 5 (1990) 1663-1670,
- Tsukuba Superstring. 1989:283-291
•
DOI:
- 10.1142/S0217732390001918

Hamiltonian embedding of a second class system with a Chern-Simons term

R. Banerjee
(
- Heidelberg U.
)

- Phys.Rev.D 48 (1993) R5467-R5470
•
DOI:
- 10.1103/PhysRevD.48.R5467

Canonical Quantum Field Theory with Exotic Statistics

Gordon W. Semenoff
(
- British Columbia U.
)

- Phys.Rev.Lett. 61 (1988) 517
•
DOI:
- 10.1103/PhysRevLett.61.517

Exotic Spin and Statistics in (2+1)-Dimensional Canonical Quantum Field Theory

Gordon W. Semenoff
(
- British Columbia U.
)
,
Pasquale Sodano
(
- Los Alamos
)

- Nucl.Phys.B 328 (1989) 753-776
•
DOI:
- 10.1016/0550-3213(89)90229-0

Gauge independent analysis of Chern-Simons theory with matter coupling

R. Banerjee
(
- Sao Paulo U. and
- Bose Inst., Kolkata
)

- Phys.Rev.Lett. 69 (1992) 17-20
•
DOI:
- 10.1103/PhysRevLett.69.17

Gauge independent analysis of dynamical systems with Chern-Simon term

R. Banerjee
(
- Bose Inst., Kolkata
)

- Phys.Rev.D 48 (1993) 2905-2915
•
DOI:
- 10.1103/PhysRevD.48.2905

Batalin-Tyutin quantization of the CP**(n-1) model

N. Banerjee
(
- Saha Inst.
)
,
Subir Ghosh
(
- Gobardanga Hindu Coll.
)
,
R. Banerjee
(
- Bose Natl. Ctr., Kolkata
)

- Phys.Rev.D 49 (1994) 1996-2000
•
e-Print:
- hep-th/9310043
•
DOI:
- 10.1103/PhysRevD.49.1996

Quantization of second class systems in the Batalin-Tyutin formalism

N. Banerjee
(
- Saha Inst.
)
,
R. Banerjee
(
- Bose Inst., Kolkata
)
,
Subir Ghosh
(
- Gobardanga Hindu Coll.
)

- Annals Phys. 241 (1995) 237-257
•
e-Print:
- hep-th/9403069
•
DOI:
- 10.1006/aphy.1995.1062

Feynman Diagrams for the Yang-Mills Field

- Phys.Lett.B 25 (1967) 29-30,
- ,
•
DOI:
- 10.1016/0370-2693(67)90067-6

- Annals Phys. 122 254