Reduced Order Podolsky Model

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• 作者：Ronaldo Thibes
• 关键词：Podolsky’s model ; BFV quantization ; Functional quantization ; Higher ; order derivatives ; Canonical quantization
• 刊名：Brazilian Journal of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：47
• 期：1
• 页码：72-80
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general;
• 出版者：Springer US
• ISSN：1678-4448
• 卷排序：47

文摘

We perform the canonical and path integral quantizations of a lower-order derivatives model describing Podolsky’s generalized electrodynamics. The physical content of the model shows an auxiliary massive vector field coupled to the usual electromagnetic field. The equivalence with Podolsky’s original model is studied at classical and quantum levels. Concerning the dynamical time evolution, we obtain a theory with two first-class and two second-class constraints in phase space. We calculate explicitly the corresponding Dirac brackets involving both vector fields. We use the Senjanovic procedure to implement the second-class constraints and the Batalin-Fradkin-Vilkovisky path integral quantization scheme to deal with the symmetries generated by the first-class constraints. The physical interpretation of the results turns out to be simpler due to the reduced derivatives order permeating the equations of motion, Dirac brackets and effective action.