BRST hamiltonian for bulk quantized gauge theory | Zendy

Alexander Rutenburg | Zendy

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BRST hamiltonian for bulk quantized gauge theory

Author(s) -

Alexander Rutenburg

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/03/047

Subject(s) - brst quantization , hamiltonian (control theory) , propagator , mathematical physics , lagrangian , physics , covariant hamiltonian field theory , hamiltonian lattice gauge theory , regularization (linguistics) , ground state , gauge theory , gauge fixing , quantum electrodynamics , quantum mechanics , mathematics , hamiltonian system , gauge boson , artificial intelligence , computer science , mathematical optimization

By treating the bulk-quantized Yang-Mills theory as a constrained system weobtain a consistent gauge-fixed BRST hamiltonian in the minimal sector. Thisprovides an independent derivation of the 5-d lagrangian bulk action. Theground state is independent of the (anti)ghosts and is interpreted as thesolution of the Fokker-Planck equation, thus establishing a direct connectionto the Fokker-Planck hamiltonian. The vacuum state correlators are shown to bein agreement with correlators in lagrangian 5-d formulation. It is verifiedthat the complete propagators remain parabolic in one-loop dimensionalregularization.Comment: 23 pages, AMS-LaTeX, 1 feynmf diagram, added 2 refs email addres

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