Projective Representation of the Poincaré Group in a Quaternionic Hilbert Space

1968 ◽  
pp. 131-182 ◽  
Author(s):  
J.M. JAUCH
Keyword(s):  
Hilbert Space ◽  
Projective Representation ◽  
Poincaré Group ◽  
Poincare Group ◽  
Quaternionic Hilbert Space

Hilbert space representations of the Poincaré group for the Landau gauge

1991 ◽  
Vol 32 (4) ◽  
pp. 1076-1090 ◽  
Author(s):  
G. Cassinelli ◽  
P. Truini ◽  
V. S. Varadarajan
Keyword(s):  
Hilbert Space ◽  
Landau Gauge ◽  
Poincaré Group ◽  
Poincare Group

scholarly journals POINCARE INVARIANCE IN TEMPORAL GAUGE CANONICAL QUANTIZATION AND θ VACUA

1994 ◽  
Vol 09 (16) ◽  
pp. 2741-2753 ◽  
Author(s):  
HISASHI KIKUCHI
Keyword(s):  
Hilbert Space ◽  
Angular Momentum ◽  
Unitary Transformation ◽  
Canonical Quantization ◽  
Momentum Tensor ◽  
Poincaré Group ◽  
Momentum Vector ◽  
Poincare Group ◽  
Temporal Gauge ◽  
Poincaré Algebra

The Poincaré invariance in the temporal gauge canonical quantization of QCD is shown manifestly by verifying that the energy-momentum vector and angular momentum tensor satisfy the Poincaré algebra in the physical Hilbert space. Two different values of θ for the θ term in the QCD Lagrangian lead to different representations of the Poincaré group, which are, however, connected by a unitary transformation. Thus it is important to further restrict the physical Hilbert space to evaluate the θ dependence in temporal gauge canonical quantization.

scholarly journals Massless finite and infinite spin representations of Poincaré group in six dimensions

2021 ◽  
pp. 136064
Author(s):  
I.L. Buchbinder ◽  
S.A. Fedoruk ◽  
A.P. Isaev ◽  
M.A. Podoinitsyn
Keyword(s):  
Poincaré Group ◽  
Poincare Group ◽  
Six Dimensions ◽  
Spin Representations

scholarly journals Completing Multiparticle Representations of the Poincaré Group

2021 ◽  
Vol 127 (4) ◽  
Author(s):  
Csaba Csáki ◽  
Sungwoo Hong ◽  
Yuri Shirman ◽  
Ofri Telem ◽  
John Terning
Keyword(s):  
Poincaré Group ◽  
Poincare Group

TWISTED POINCARE GROUP AND SPIN-STATISTICS

2005 ◽  
Vol 20 (27) ◽  
pp. 6268-6277 ◽  
Author(s):  
ALEKSANDR PINZUL
Keyword(s):  
Field Theory ◽  
Tensor Product ◽  
Poincaré Group ◽  
Commutative Field ◽  
Poincare Group ◽  
Quantized Fields

Recently it has been shown that it is possible to retain the Lorentz-invariant interpretation of the non-commutative field theory.1,2,3 This was achieved by the means of the twisted action of the Poincaré group on the tensor product of the fields. We investigate the consequences of this approach for the quantized fields.

Quantum Poincaré group

1993 ◽  
Vol 304 (3-4) ◽  
pp. 220-224 ◽  
Author(s):  
M. Chaichian ◽  
A.P. Demichev
Keyword(s):  
Poincaré Group ◽  
Poincare Group
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