Quantization of symplectic orbits of compact Lie groups by means of the functional integral

Alekseev, A.; Faddeev, L.D.; Shatashvili, Samson L.

doi:10.1016/0393-0440(88)90031-9

Quantization of symplectic orbits of compact Lie groups by means of the functional integral

Feb, 1988

16 pages

Published in:

J.Geom.Phys. 5 (1988) 391-406

Published: Feb, 1988

DOI:

10.1016/0393-0440(88)90031-9

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Abstract: (Elsevier)

The functional integral for the quantization of the coadjoint orbits of the unitary and orthogonal groups is given by means of an explicit construction of the corresponding ≪Darboux≫ variables.

Quantization
compact Lie groups
functional integral
81 E 10
22 5 05

References(12)

Figures(0)

[1]

Elements of the representation theory

A. Kirillov

[2]

Characters of unitary representations of Lie groups

A.A. Kirillov

- Funkt.anal.i ego prilozh. 2 (1968) 2

[2]

Characters of unitary representations of Lie groups

A.A. Kirillov

- Funkt.anal.i ego prilozh. 2 (1968) 40

[3]

A PATH INTEGRAL TO QUANTIZE SPIN

Holger Bech Nielsen
(
- Bohr Inst.
)
,
Daniel Rohrlich
(
- Bohr Inst.
)

- Nucl.Phys.B 299 (1988) 471-483
•
DOI:
- 10.1016/0550-3213(88)90545-7

[4]

Introduction to quantum theory of gauge fields

A.A. Slavnov
,
L.D. Faddeev

[5]

Propagator for the relativistic spinning particle via functional integral over trajectories

A. Yu Alekseev
,
S.L. Shatashvili

- Mod.Phys.Lett. AVol.3 (1988) 1151

[6]

Fermi-Bose Transmutations Induced by Gauge Fields

Alexander M. Polyakov
(
- Landau Inst.
)

- Mod.Phys.Lett.A 3 (1988) 325,
•
DOI:
- 10.1142/S0217732388000398

[7]

Quantum gravity in two dimensions

A.M. Polyakov

- Mod.Phys.Lett.A 11 (1987) 893

[8]

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

[9]

Theory of matrices

F.R. Gantmakher

[10]

Unitary representation of classical groups

I.M. Gelfand
,
M.A. Naimark

- Proceedings of Steklov Institute 36 (1950) Moscow

[11]

Compact groups and their representations

D.P. Zhelobenko