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Vacuum structures in Hamiltonian light-front dynamics
Journal article   Open access   Peer reviewed

Vacuum structures in Hamiltonian light-front dynamics

F Coester and W Polyzou
Foundations of physics, Vol.24(3), pp.387-400
03/01/1994
DOI: 10.1007/BF02058099

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Abstract

Hamiltonian light-front dynamics of quantum fields may provide a useful approach to systematic nonperturbative approximations to quantum field theories. We investigate inequivalent Hilbert-space representations of the light-front field algebra in which the stability group of the light front is implemented by unitary transformations. The Hilbert space representation of states is generated by the operator algebra from the vacuum state. There is a large class of vacuum states besides the Fock vacuum which meet all the invariance requirements. The light-front Hamiltonian must annihilate the vacuum and have a positive spectrum. We exhibit relations of the Hamiltonian to the nontrivial vacuum structure. © 1994 Plenum Publishing Corporation.
Physics Classical and quantum physics: mechanics and fields Exact sciences and technology General Theory of quantized fields

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