Canonical Brackets from Symmetry Principles
نویسندگان
چکیده
We deduce the canonical brackets for a two (1 + 1)-dimensional (2D) free Abelian 1-form gauge theory by exploiting the beauty and strength of the continuous symmetries of a Becchi-Rouet-Stora-Tyutin (BRST) invariant Lagrangian density that respects, in totality, six continuous symmetries. All these symmetries lead to the derivation of exactly the same canonical brackets amongst the creation and annihilation operators that appear in the normal mode expansion of the basic fields of the theory. For the sake of precise comparison, the above canonical brackets are also derived by applying the canonical approach to the appropriate Lagrangian density of the theory. PACS numbers: 11.15.-q Gauge field theories 03.70.+k Theory of quantized fields
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تاریخ انتشار 2009