Anomalous gauge theories and subcritical strings based on the Batalin-Fradkin formalism

Fujiwara, Takanori; Igarashi, Y.; Kubo, Jisuke

doi:10.1016/0550-3213(90)90545-o

Cited by 87 publications

(124 citation statements)

References 49 publications

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“…So we apply the Batalin, Fradkin and Vilkovisky (BFV) [34][35][36][37] formalism in order to get a BRST invariant reformulation of the said model. In fact, we will use here the improved version due to FIK [38] in our work since it helps to get the Wess-Zumino [39] term in a transparent way which was found lacking in the work [20]. The Wess-Zumino term for the free chiral boson obtain in [20], though agrees with the conventional Wess-Zumino term that can be inherited from [40], the term which was demanded by the author as the Wess-Zumino term for the gauged model of chiral boson fails to do so.…”

Section: Introductionmentioning

confidence: 99%

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Rahaman¹,

Yasmin

2017

Annals of Physics

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The gauged model of Siegel type chiral boson is considered. It has been shown that the action of gauged model of Floreanini-Jackiw (FJ) type chiral boson is contained in it in an interesting manner. A BRST invariant action corresponding to the action of gauged FJ type chiral boson has been formulated using Batalin, Fradkin and Vilkovisky based improved Fujiwara, Igarishi and Kubo (FIK) formalism. An alternative quantization of the gauge symmetric action has been made with a Lorentz gauge and an attempt has been made to establish the equivalence between the gauge symmetric version of the extended phase space and original gauge non-invariant version of the usual phase space.

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Section: Introductionmentioning

confidence: 99%

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Rahaman¹,

Yasmin

2017

Annals of Physics

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“…On the other hand, the Becci-Rouet-StoraTyutin (BRST) [2,3] quantization of constrained systems along the lines originally established by Batalin, Fradkin, and Vilkovisky [4,5], and then reformulated in a more tractable and elegant version by Batalin, Fradkin, and Tytin [6], does not suffer from these difficulties, as it relies on a simple Poisson bracket structure. As a result, the embedding of secondclass systems into first-class ones (gauge theories) has received much attention in the past years and the DQM improved in this way, has been applied to a number of models [7][8][9][10][11][12][13] in order to obtain the corresponding Wess-Zumino (WZ) actions [14,15]. In fact, the earlier work on this subject is based on the traditional Dirac's pioneering work [1], which has been criticized for introducing "superfluous" primary constraints, and has been avoided in more recent treatments, based on the symplectic structure of phase space.…”

Section: Introductionmentioning

confidence: 99%

Symplectic Embedding and Hamilton–jacobi Analysis of Proca Model

2002

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Following the symplectic approach we show how to embed the Abelian Proca model into a first-class system by extending the configuration space to include an additional pair of scalar fields, and compare it with the improved Dirac scheme. We obtain in this way the desired Wess-Zumino and gauge fixing terms of BRST invariant Lagrangian. Furthermore, the integrability properties of the second-class system described by the Abelian Proca model are investigated using the Hamilton-Jacobi formalism, where we construct the closed Lie algebra by introducing operators associated with the generalized Poisson brackets.

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“…[7,8,16] as argued in refs. [22,23]. This can also be regarded as a canonical verification of the the functional measure ansatz of refs.…”

Section: Summary and Discussionmentioning

confidence: 58%

“…The operators P ± X ′ and ψ ± can be divided into two parts, one containing only lowering operators, (P ± X ′ ) (+) and ψ (+) ± , and the other containing only rasing operators (P ± X ′ ) (−) and ψ (−) ± . They are defined by 22) with δ (±) (σ) = 1 2π ±i σ ± iǫ . Then by putting (P ± X ′ ) (−) and ψ (−) ± to the left of (P ± X ′ ) (+) and ψ (+) ± , we can define an operator ordering in the present case.…”

Section: Super-virasoro Constraints In 2d Superstringmentioning

confidence: 99%

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Super-Virasoro Anomaly, Super-Weyl Anomaly, and the Super-Liouville Action for 2D Supergravity

1997

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The relation between super-Virasoro anomaly and super-Weyl anomaly in N = 1 NSR superstring coupled with 2D supergravity is investigated from canonical theoretical view point. The WZW action canceling the super-Virasoro anomaly is explicitly constructed.It is super-Weyl invariant but nonlocal functional of 2D supergravity. The nonlocality can be remedied by the super-Liouvlle action, which in turn recovers the super-Weyl anomaly. The final gravitational effective action turns out to be local but noncovariant super-Liouville action, describing the dynamical behavior of the super-Liouville fields.The BRST invariance of this approach is examined in the superconformal gauge and in the light-cone gauge.

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Anomalous gauge theories and subcritical strings based on the Batalin-Fradkin formalism

Cited by 87 publications

References 49 publications

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Symplectic Embedding and Hamilton–jacobi Analysis of Proca Model

Super-Virasoro Anomaly, Super-Weyl Anomaly, and the Super-Liouville Action for 2D Supergravity

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