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Hamiltonian BRST formalism (FV formalism) includes many auxiliary fields without explanation. Its path-integration has a simple form by using BRST charge, but its construction is quite mechanically and hard to understand physical meaning.…

高能物理 - 理论 · 物理学 2008-02-03 Naohisa Ogawa

We review the construction of gauge field theories from BRST first-quantized systems and its relation to the unfolded formalism. In particular, the BRST extension of the non linear unfolded formalism is discussed in some details.

高能物理 - 理论 · 物理学 2007-05-23 Glenn Barnich , Maxim Grigoriev

We demonstrate that the celebrated St$\ddot u$ckelberg formalism gets modified in the case of a massive four (3+1)-dimensional (4D) Abelian 2-form theory due to the presence of a self-duality discrete symmetry in the theory. The latter…

高能物理 - 理论 · 物理学 2023-07-31 A. K. Rao , R. P. Malik

We embed second class constrained systems by a formalism that combines concepts of the BFFT method and the unfixing gauge formalism. As a result, we obtain a gauge-invariant system where the introduction of the Wess-Zumino (WZ) field is…

高能物理 - 理论 · 物理学 2009-11-10 Jorge Ananias Neto

In this paper we quantize the free-particle on a D-dimensional sphere in an unambiguous way by converting the second-class constraint using St\"uckelberg field shiftting formalism. Further, we argument that this formalism is equivalent to…

高能物理 - 理论 · 物理学 2008-11-26 C. Neves , C. Wotzasek

For a wide class of mechanical systems, invariant under gauge transformations with higher (arbitrary) order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the…

高能物理 - 理论 · 物理学 2015-06-26 Khazret S. Nirov

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

高能物理 - 理论 · 物理学 2009-10-22 G. Barnich

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

高能物理 - 理论 · 物理学 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

Finite BRST-BV transformations are studied systematically within the W-X formulation of the standard and the Sp(2)-extended field-antifield formalism. The finite BRST-BV transformations are introduced by formulating a new version of the Lie…

高能物理 - 理论 · 物理学 2016-03-23 Igor A. Batalin , Klaus Bering , Peter M. Lavrov

The Batalin-Vilkovisky (BV) formalism is a powerful generalization of the BRST approach of gauge theories and allows to treat more general field theories. We will see how, starting from the case of a finite dimensional configuration space,…

数学物理 · 物理学 2016-09-09 Pierre J. Clavier , Viet Dang Nguyen

In the Batalin - Fradkin - Vilkovisky approach to quantization of gauge theories a principal role is given to the BRST charge which can be constructed as a series in Grassmannian (ghost) variables with coefficients given by generalized…

广义相对论与量子宇宙学 · 物理学 2015-04-09 T. P. Shestakova

We provide a BRST symmetric version of Yokoyama's Type I gaugeon formalism for quantum electrodynamics; the similar theory by Izawa can be considered as a BRST symmetrized Type II theory. With the help of the BRST symmetry, Yokoyama's…

高能物理 - 理论 · 物理学 2011-04-15 M. Koseki , M. Sato , R. Endo

We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As…

高能物理 - 理论 · 物理学 2014-11-20 Klaus Bering , Harald Grosse

Reducible constrained Hamiltonian systems are quantized accordingly an irreducible BRST manner. Our procedure is based on the construction of an irreducible theory which is physically equivalent with the original one. The equivalence…

高能物理 - 理论 · 物理学 2008-11-26 C. Bizdadea , S. O. Saliu

We apply the Batalin-Tyutin Hamiltonian method to the Abelian Proca model in order to convert a second class constraint system into a first class one systematically by introducing the new fields. Then, according to the BFV formalism we…

高能物理 - 理论 · 物理学 2008-02-03 Sean J. Yoon , Yong-Wan Kim , Young-Jai Park

A systematic procedure is proposed for inclusion of Stueckelberg fields. The procedure begins with the involutive closure when the original Lagrangian equations are complemented by all the lower order consequences. The involutive closure…

高能物理 - 理论 · 物理学 2021-06-16 S. L. Lyakhovich

Using a BRST treatment, we show that the equivalence of General Relativity and Shape Dynamics can be extended to a theory that respects the BRST-symmetries of General Relativity as well as the ones of an extended version of Shape Dynamics.…

广义相对论与量子宇宙学 · 物理学 2012-06-22 Henrique Gomes , Tim Koslowski

We study systematically finite BRST- BV transformations in the field-antifield formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite…

高能物理 - 理论 · 物理学 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We perform the Hamiltonian analysis of the specific model of the non-linear massive gravity in Stuckelberg formalism where the square root structure is replaced by introducing auxiliary fields. We show that the constraint structure of given…

高能物理 - 理论 · 物理学 2015-06-04 J. Kluson

Finite field-dependent BRST (FFBRST) transformations were constructed by integrating infinitesimal BRST transformation in a closed form. Such a generalized transformations have been extended in various branch of physics and found many…

高能物理 - 理论 · 物理学 2016-01-05 Sudhaker Upadhyay , Bhabani Prasad Mandal
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