2006
DOI: 10.1016/j.physletb.2005.10.028
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Improved BFT embedding having chain-structure

Abstract: We newly revisit the gauge non-invariant chiral Schwinger model with a = 1 in view of the chain structure. As a result, we show that the Dirac brackets can be easily read off from the exact symplectic algebra of second-class constraints. Furthermore, by using an improved BFT embedding preserving the chain structure, we obtain the desired gauge invariant action including a new type of Wess-Zumino term.

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Cited by 3 publications
(4 citation statements)
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“…Aquaculture has grown at a steady pace, reaching global expansion, with shrimp farming being one of the most successful and profitable activities (Ottinger, Clauss, & Kuenzer, 2016). The development of productive techniques such as the bioflocs and recirculation systems, which allow high storage densities, has leveraged and opened precedents for this scenario to be increasingly consolidated (Avnimelech & Ritvo, 2003;Crab, Avnimelech, Defoirdt, Bossier, & Verstraete, 2007;Dalsgaard et al, 2013;Kim, Ee, Kim, & Park, 2006;Vinatea et al, 2018;Wasielesky, Atwood, Stokes, & Browdy, 2006). Accompanying this trend has sought methods of working with alternatives that help in mitigating the challenges generated by increasing the capacity and enhancement of systems for the rearing of aquatic organisms, including higher stress and health problems (De Souza et al, 2016;Gaona, Paz Serra, Furtado, Poersch, & Wasielesky, 2016;Glencross et al, 2016;Panini et al, 2017;Macias-Sancho et al, 2017;Torrecilas et al, 2017;Wang, Wang, Zhang, & Song, 2017).…”
Section: Introductionmentioning
confidence: 99%
“…Aquaculture has grown at a steady pace, reaching global expansion, with shrimp farming being one of the most successful and profitable activities (Ottinger, Clauss, & Kuenzer, 2016). The development of productive techniques such as the bioflocs and recirculation systems, which allow high storage densities, has leveraged and opened precedents for this scenario to be increasingly consolidated (Avnimelech & Ritvo, 2003;Crab, Avnimelech, Defoirdt, Bossier, & Verstraete, 2007;Dalsgaard et al, 2013;Kim, Ee, Kim, & Park, 2006;Vinatea et al, 2018;Wasielesky, Atwood, Stokes, & Browdy, 2006). Accompanying this trend has sought methods of working with alternatives that help in mitigating the challenges generated by increasing the capacity and enhancement of systems for the rearing of aquatic organisms, including higher stress and health problems (De Souza et al, 2016;Gaona, Paz Serra, Furtado, Poersch, & Wasielesky, 2016;Glencross et al, 2016;Panini et al, 2017;Macias-Sancho et al, 2017;Torrecilas et al, 2017;Wang, Wang, Zhang, & Song, 2017).…”
Section: Introductionmentioning
confidence: 99%
“…respectively, where the overdot denotes the time derivative. The usual Dirac approach [7] gives the following set of constraints [8]…”
Section: Schwinger Model In (1+1) Dimensionsmentioning
confidence: 99%
“…The aim of this manuscript is to apply recently modified Faddeev-Jackiw [6] formalism on two examples of physical interest. The first example is the Schwinger model in (1+1) dimensions which, despite the gauge anomaly, is unitary and it was consistently quantized [8]. The second example is a simpler mechanical system possessing one chain of a four level second-class constraints.…”
Section: Introductionmentioning
confidence: 99%
“…Along the last decades, two main second-to-first-class system conversion lines have evolved in the literature, leading to different formalisms. The first one comes from pioneering works by Wess, Zumino, Faddeev and Shatashvili [36,37] in which extra variables are introduced in phase space in order to convert second-class constraints into first-class and has led to the systematic Batalin-Fradkin-Tyutin (BFT) approach [38,39] with corresponding subsequent modifications and improvements [40][41][42]. Since then, there have been countless applications of the BFT formalism.…”
mentioning
confidence: 99%