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Related papers: ON THE COVARIANTIZATION OF THE CHIRAL CONSTRAINT

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The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only second-class constraints. in the Dirac's classification.The covariant quantization needs infinite number of…

High Energy Physics - Theory · Physics 2007-05-23 Dumitru Baleanu , Yurdahan Guler

We quantize the chiral Schwinger Model by using the Batalin-Tyutin formalism. We show that one can systematically construct the first class constraints and the desired involutive Hamiltonian, which naturally generates all secondary…

High Energy Physics - Theory · Physics 2007-05-23 Jung-Ho Cha , Yong-Wan Kim , Young-Jai Park , Yongduk Kim , Seung-Kook Kim , Won T. Kim

Chiral QED with a generalized Fadeevian regularization is considered. Imposing a chiral constraint a gauged version of Floranini-Jackiw lagrangian is constructed. The imposition of the chiral constarint has spoiled t he manifestly Lorentz…

High Energy Physics - Theory · Physics 2009-11-10 Anisur Rahaman

We argue that a consistent quantization of the Floreanini-Jackiw model, as a constrained system, should start by recognizing the improper nature of the constraints. Then each boundary conditon defines a problem which must be treated…

High Energy Physics - Theory · Physics 2009-10-22 F. P. Devecchi , H. O. Girotti

We apply an improved version of Batalin-Fradkin-Tyutin (BFT) Hamiltonian method to the a=1 chiral Schwinger Model, which is much more nontrivial than the a>1.$ one. Furthermore, through the path integral quantization, we newly resolve the…

High Energy Physics - Theory · Physics 2008-11-26 Mu-In Park , Young-Jai Park , Sean J. Yoon

We use the method due to Batalin, Fradkin and Tyutin (BFT) for the quantization of chiral boson theories. We consider the Floreanini-Jackiw (FJ) formulation as well as others with linear constraints.

High Energy Physics - Theory · Physics 2009-10-28 R. Amorim , J. Barcelos-Neto

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…

High Energy Physics - Theory · Physics 2017-07-14 Anisur Rahaman , Safia Yasmin

The quantization of the chiral Schwinger model $(\chi QED_{2})$ with one-parameter class Faddeevian regularization is hampered by the chiral anomaly, i.e., the Gauss law commutator exhibits Faddeev's anomaly. To overcome this kind of…

High Energy Physics - Theory · Physics 2009-12-15 A. C. R. Mendes , C. Neves , W. Oliveira

We make a comparative study of chiral-boson theories in the Florenani-Jackiw (FJ) and linear constraint formulations. A special attention is given to the case with an improved way of implementing the linear constraint. We show that it has…

High Energy Physics - Theory · Physics 2009-10-28 R. Amorim , J. Barcelos-Neto

The path integral description of the Wess-Zumino-Witten $\to$ Liouville reduction is formulated in a manner that exhibits the conformal invariance explicitly at each stage of the reduction process. The description requires a conformally…

High Energy Physics - Theory · Physics 2009-10-30 L. O'Raifeartaigh , V. V. Sreedhar

Chiral Schwinger model with the Faddeevian anomaly is considered. It is found that imposing a chiral constraint this model can be expressed in terms of chiral boson. The model when expressed in terms of chiral boson remains anomalous and…

High Energy Physics - Theory · Physics 2010-09-28 Anisur Rahaman , Safia Yasmin , Sahazada Aziz

The coupling of spin 0 and spin 1 external fields to Dirac fermions defines a theory which displays gauge chiral symmetry. Quantum mechanically, functional integration of the fermions yields the determinant of the Dirac operator, known as…

High Energy Physics - Theory · Physics 2008-12-18 L. L. Salcedo

We revisit the problem of quantizing a chiral boson on a torus. The conventional approach is to extract the partition function of a chiral boson from the path integral of a non-chiral boson. Instead we compute it directly from the chiral…

High Energy Physics - Theory · Physics 2014-05-07 Wei-Ming Chen , Pei-Ming Ho , Hsien-chung Kao , Fech Scen Khoo , Yutaka Matsuo

We consider the minimal chiral Schwinger model, by embedding the gauge noninvariant formulation into a gauge theory following the Batalin-Fradkin-Fradkina-Tyutin point of view. Within the BFFT procedure, the second class constraints are…

High Energy Physics - Theory · Physics 2007-05-23 C. P. Natividade , H. Boschi-Filho , L. V. Belvedere

We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to the chiral Schwinger model with Faddeevian anomaly when it is described in terms of…

High Energy Physics - Theory · Physics 2020-07-10 Shahin Absar , Sanjib Ghoshal , Anisur Rahaman

A manifestly Lorentz invariant action is found for the Floreanini-Jackiw chiral boson. The method involves a novel chiral reduction of the phase-space action for a string, and can be adapted to describe chiral bosons on the heterotic string…

High Energy Physics - Theory · Physics 2020-03-18 Paul K. Townsend

The (2+1) dimensional nonabelian Chern-Simons theory coupled to complex scalar fields is quantized by using the Batalin-Tyutin canonical Hamiltonian method which systematically embeds second-class constraint system into first-class one. We…

High Energy Physics - Theory · Physics 2009-10-28 Won Tae Kim , Young-Jai Park

The Jackiw-Rajaraman version of the chiral Schwinger model is studied as a function of the renormalization parameter. The constraints are obtained and they are used to carry out canonical quantization of the model by means of Dirac…

Mathematical Physics · Physics 2008-11-26 Paul Bracken

We first present a general method for extracting collective variables out of non-relativistic fermions by extending the gauge theory of collective coordinates to fermionic systems. We then apply the method to a system of non-interacting…

High Energy Physics - Theory · Physics 2009-10-30 B. Sakita

The quantisation of the Wess-Zumino-Witten model on a circle is discussed in the case of $SU(N)$ at level $k$. The quantum commutation of the chiral vertex operators is described by an exchange relation with a braiding matrix, $Q$. Using…

High Energy Physics - Theory · Physics 2015-06-26 M. Chu , P. Goddard
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