PLUGGING THE GAUGE-FIXING INTO THE LAGRANGIAN
نویسندگان
چکیده
منابع مشابه
ar X iv : h ep - t h / 95 10 04 4 v 1 9 O ct 1 99 5 Plugging the Gauge Fixing into the Lagrangian
A complete analysis of the consequences of introducing a set of holonomic gauge fixing constraints (to fix the dynamics) into a singular Lagrangian is performed. It is shown in general that the dynamical system originated from the reduced Lagrangian erases all the information regarding the first class constraints of the original theory, but retains its second class. It is proved that even thoug...
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In the absence of Gribov complications, the modified gauge fixing in gauge theory ∫ DAμ{exp[−SYM (Aμ)− ∫ f(Aμ)dx]/ ∫ Dg exp[− ∫ f(Aμ)dx]} for example, f(Aμ) = (1/2)(Aμ) 2, is identical to the conventional Faddeev-Popov formula ∫ DAμ{δ(D δf(Aν ) δAμ )/ ∫ Dgδ(Dμ δf(A g ν ) δA g μ )} exp[−SYM (Aμ)] if one takes into account the variation of the gauge field along the entire gauge orbit. Despite of ...
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We exactly gauge-fix the Hamiltonian for the SU(N) lattice gauge field and eliminate the redundant gauge degrees of freedom. The gauge-fixed lattice Hamiltonian, in particular for the Coulomb gauge, has many new terms in addition to the ones obtained in the continuum formulation. Submitted to Physical Review D * Work supported by the Department of Energy, contract DE AC03 76SF00515. t Permanent...
متن کاملThe 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...
متن کاملThe 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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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1996
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x96000456