Symplectic approach to quantum constraints

BRST is used to investigate the consistency of the quantum constraints for Yang–Mills theories based on twisted and untwisted SU (N) in a slab with periodic boundary conditions in one dimension.

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Quantum constraints on quantum error correction with laser pulses

Optical Fiber Communication Conference and International Conference on Quantum Information ◽

10.1364/icqi.2001.eapa3 ◽

2001 ◽

Author(s):

Julio Gea-Banacloche

Keyword(s):

Error Correction ◽

Laser Pulses ◽

Quantum Error Correction ◽

Quantum Error ◽

Quantum Constraints

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Quantum constraints on technological superconductors

Applied Physics Letters ◽

10.1063/1.123225 ◽

1999 ◽

Vol 74 (24) ◽

pp. 3699-3701 ◽

Cited By ~ 10

Author(s):

J. R. Thompson ◽

J. G. Ossandon ◽

L. Krusin-Elbaum ◽

K. J. Song ◽

D. K. Christen ◽

...

Keyword(s):

Quantum Constraints

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LOOP CONSTRAINTS: A HABITAT AND THEIR ALGEBRA

International Journal of Modern Physics D ◽

10.1142/s0218271898000231 ◽

1998 ◽

Vol 07 (02) ◽

pp. 299-330 ◽

Cited By ~ 61

Author(s):

JERZY LEWANDOWSKI ◽

DONALD MAROLF

Keyword(s):

Quantum Gravity ◽

Poisson Bracket ◽

Large Class ◽

Hamiltonian Constraint ◽

Natural Domain ◽

New Space ◽

Loop Constraints ◽

Quantum Constraints

This work introduces a new space [Formula: see text] of 'vertex-smooth' states for use in the loop approach to quantum gravity. Such states provide a natural domain for Euclidean Hamiltonian constraint operators of the type introduced by Thiemann (and using certain ideas of Rovelli and Smolin). In particular, such operators map [Formula: see text] into itself, and so are actual operators in this space. Their commutator can be computed on [Formula: see text] and compared with the classical hypersurface deformation algebra. Although the classical Poisson bracket of Hamiltonian constraints yields an inverse metric times an infinitesimal diffeomorphism generator, and despite the fact that the diffeomorphism generator has a well-defined nontrivial action on [Formula: see text], the commutator of quantum constraints vanishes identically for a large class of proposals.

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THE GENERALIZED GROSS-NEVEU MODEL ON THE LIGHT-CONE

Modern Physics Letters A ◽

10.1142/s0217732395002507 ◽

1995 ◽

Vol 10 (31) ◽

pp. 2339-2351

Author(s):

IGOR PESANDO

Keyword(s):

Light Cone ◽

Natural Form ◽

Light Cone Quantization ◽

Current Coupling ◽

Gross Neveu Model ◽

Quantum Constraints

We investigate the generalized Gross-Neveu model using the discretized light-cone quantization and we find that the vacuum of the bare theory is nontrivial in the presence of vectorial current coupling when the simplest and most natural form of quantum constraints is used. Nevertheless the vacuum of the renormalized theory is trivial. In the thermodynamic the Bethe-Salpeter equations which are obtained contain all the terms needed to make them finite.

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