The Gauge-Fixing Fermion in BRST Quantisation
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چکیده
Conditions which must be satisfied by the gauge-fixing fermion χ used in the BRST quantisation of constrained systems are established. These ensure that the extension of the Hamiltonian by the gaugefixing term [Ω, χ] (where Ω is the BRST charge) gives the correct path integral. In canonical BRST quantisation (particularly the path-integral approach developed by Batalin, Fradkin, Fradkina and Vilkovisky in a series of papers [1, 2, 3, 4, 5] (BFV) and Henneaux [6]) the starting point is the simple 2ndimensional phase space R with n position coordinates q and n momenta
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The Gauge-Fixing Fermion in BRST Quantisation
Conditions which must be satisfied by the gauge-fixing fermion χ used in the BRST quantisation of constrained systems are established. These ensure that the extension of the Hamiltonian by the gaugefixing term [Ω, χ] (where Ω is the BRST charge) gives the correct path integral. In canonical BRST quantisation (particularly the path-integral approach developed by Batalin, Fradkin, Fradkina and Vi...
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