General Superfield Quantization Method. I. Lagrangian Formalism of $θ$-Superfield Theory of Fields
| dc.creator | Reshetnyak, A. A. | |
| dc.date | 2002-10-22 | |
| dc.date | 2003-12-11 | |
| dc.date.accessioned | 2026-07-07T04:14:22Z | |
| dc.date.available | 2026-07-07T04:14:22Z | |
| dc.description | The rules to construct Lagrangian formulation for $θ$-superfield theory of fields ($θ$-STF) are introduced and considered on the whole in the framework of new superfield quantization method for general gauge theories. Algebraic, group-theoretic and analytic description aspects for supervariables over (Grassmann) algebras containing anticommuting generating element $θ$ and interpreted further in particular as an "odd" time are examined. Superfunction $S_{L}(θ)$, its global symmetries are defined on the extended space $T_{odd}{\cal M}_{cl} \times \{θ\}$ parameterized by superfields ${\cal A}^{\imath}(θ), \frac{d{\cal A}^{\imath}(θ)}{dθ\phantom{xxx}}, θ$. Extremality properties of superfunctional $Z[{\cal A}]=\int dθS_{L}(θ)$ and ones of corresponding Euler-Lagrange equations are analyzed. The direct and inverse problems of zero locus reduction for extended (anti)symplectic manifolds over ${\cal M}_{min}$ = $\{({\cal A}^{\imath}(θ), C^α(θ))\}$, with (odd) even brackets, corresponding to initial $θ$-superfield models are employed to construct iteratively the new interconnected models both embedded into manifolds above with reduced brackets and enlarging them with continued ones. Component (on $θ$) formulation for $θ$-STF variables and operations is produced providing the connection with standard gauge field theory. Realization of $θ$-STF constructions is demonstrated on models of scalar, spinor, vector superfields which are used to formulate the $θ$-superfield model with abelian two-parametric gauge supergroup. | |
| dc.description | 50 pages, LaTeX, no figures, title changed, introduction updated, section with zero-locus reduction problems and methods of new superfield models construction added, section with differential equations study with odd operator transferred into appendix, new superfield gauge model, 8 references added, typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0210207 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0210207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51596 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | General Superfield Quantization Method. I. Lagrangian Formalism of $θ$-Superfield Theory of Fields | |
| dc.type | text |