General Superfield Quantization Method. III. Construction of Quantization Scheme
| dc.creator | Reshetnyak, A. A. | |
| dc.date | 2003-04-16 | |
| dc.date.accessioned | 2026-07-07T04:15:09Z | |
| dc.date.available | 2026-07-07T04:15:09Z | |
| dc.description | Extension procedure for supermanifold ${\cal M}_{cl}$ of superfields ${\cal A}^{\imath}(θ)$, ghost number construction are considered. Classical and $\hbar$-deformed generating (master) equations, existence theorems for their solutions are formulated in $T^{\ast}_{odd}{\cal M}_{min}$, $T^{\ast}_{odd}{\cal M}_{ext}$. Analogous scheme is realized for BV similar generating equations. Master equations versions for GSQM and BV similar scheme are deformed in powers of superfields ${\stackrel{\circ}Γ}{}^p(θ)$ = $\bigl({\stackrel{\circ}Φ}{}^B(θ)$, ${\stackrel{\circ}Φ}{}^{\ast}_B(θ)\bigr)$ into supermanifold $T_{odd}(T^{\ast}_{odd}{\cal M}_{ext})$. Arbitrariness in a choice of solutions for these equations is described. Investigation of formal Hamiltonian systems for II class theories [2] defined via corresponding master equations solutions is conducted. Gauge fixing for those theories is described by two ways. Functional integral of superfunctions on $T_{odd}(T^{\ast}_{odd}{\cal M}_{ext})$ is defined. Properties for generating functionals of Green's superfunctions are studied. $θ$-component quantization formulation, connection with BV method and superfield quantization [3] are established. Quantization scheme realization is demonstrated on 6 models. | |
| dc.description | 59 pages, Latex, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0304142 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0304142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51896 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | General Superfield Quantization Method. III. Construction of Quantization Scheme | |
| dc.type | text |