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In this paper, the Hamiltonian structure of the bosonized chiral Schwinger model (BCSM) is analyzed. From the consistency condition of the constraints obtained from the Dirac method, we can observe that this model presents, for certain…

We apply the Batalin-Fradkin-Tyutin (BFT) method to the SU(2) Skyrmion to study the full symmetry structure of the model at the first class Hamiltonian level. On the other hand, we also analyze the symmetry structure of the action having…

High Energy Physics - Phenomenology · Physics 2009-10-31 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

Covariant quantization of theories based on nonlinear extensions of Lie algebras in 2d is studied by using a generalized Lagrangian BRST formalism. The quantum action is constructed to be invariant under the off--shell nilpotent BRST…

High Energy Physics - Theory · Physics 2007-05-23 M. Blagojević , T. Vukašinac

We study the chiral properties of quenched domain wall fermions with several gauge actions. We demonstrate that the nearly translationally invariant modes in the fifth dimension that dominate the residual mass for Wilson gauge action can be…

High Energy Physics - Lattice · Physics 2007-05-23 Konstantinos Orginos , RBC Collaboration

We illustrate the cosmological Friedmann-Robertson-Walker (FRW) models realized as gauge theory in the extended configuration space with its Becchi-Rouet-Stora-Tyutin (BRST) invariance upto total derivative. To investigate the model in…

General Relativity and Quantum Cosmology · Physics 2015-10-01 Sudhaker Upadhyay

We study a new mechanism for the electromagnetic gauging of chiral bosons showing that new possibilities emerge for the interacting theory of chiral scalars. We introduce a chirally coupled gauge field necessary to mod out the degree of…

High Energy Physics - Theory · Physics 2009-11-07 Everton M. C. Abreu , Alvaro de Souza Dutra , Clovis Wotzasek

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

High Energy Physics - Theory · Physics 2009-11-10 Igor Batalin , Igor Tyutin

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a…

High Energy Physics - Theory · Physics 2018-10-25 Alexander A. Reshetnyak

We present an approach to bosonic ($Z^0, W^{\pm}$) as well as fermionic (top-quark) Breit-Wigner propagators which is consistent with gauge invariance arguments. In particular, for the $Z^0$-boson propagator we extend previous analyses and…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Nowakowski , A. Pilaftsis

A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

We have constructed a modified BFT method that preserves the chain structure of constraints. This method has two advantages: first, it leads to less number of primary constraints such that the remaining constraints emerge automatically; and…

High Energy Physics - Theory · Physics 2009-11-10 A. Shirzad , M. Monemzadeh

We introduce a new model describing a bosonic system with chiral properties. It consists of a free boson with two peculiar couplings to the background geometry which generalizes the Feigen-Fuchs-Dotsenko-Fateev construction. By choosing the…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli

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.…

High Energy Physics - Theory · Physics 2009-11-11 Yong-Wan Kim , Ee Chang-Young , Seung-Kook Kim , Young-Jai Park

We study a model with fractional quantum numbers using Monte Carlo techniques. The model is composed of bosons interacting though a $Z_2$ gauge field. We find that the system has three phases: a phase in which the bosons are confined, a…

Strongly Correlated Electrons · Physics 2009-10-31 R. D. Sedgewick , D. J. Scalapino , R. L. Sugar

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge…

High Energy Physics - Theory · Physics 2016-08-24 Alex Deckmyn , Ruud Siebelink , Walter Troost , Alexander Sevrin

Basic properties of gauge theories in the framework of Faddeev-Popov (FP) method, Batalin-Vilkovisky (BV) formalism, functional renormalization group (FRG) approach are considered. The FP and BV quantizations are characterized by the…

High Energy Physics - Theory · Physics 2022-04-26 Peter M. Lavrov

The regularization scheme is proposed for the constrained Hamiltonian formulation of the gauge fields coupled to the chiral or axial fermions. The Schwinger terms in the regularized operator first-class constraint algebra are shown to be…

High Energy Physics - Theory · Physics 2009-10-28 I. Yu. Karataeva , S. L. Lyakhovich

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi-a_1$ mixing in the presence of…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

We use the gauge unfixing (GU) formalism framework in a two dimensional noncommutative chiral bosons (NCCB) model to disclose new hidden symmetries. That amounts to converting a second-class system to a first-class one without adding any…

High Energy Physics - Theory · Physics 2023-08-09 Cleber N. Costa , Gabriella V. Ambrósio , Paulo R. F. Alves , Jorge Ananias Neto , Ronaldo Thibes

We propose the gauged Thirring model as a natural gauge-invariant generalization of the Thirring model, four-fermion interaction of current-current type. In the strong gauge-coupling limit, the gauged Thirring model reduces to the recently…

High Energy Physics - Theory · Physics 2009-10-30 Kei-Ichi Kondo