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We consider a generic gauge system, whose physical degrees of freedom are obtained by restriction on a constraint surface followed by factorization with respect to the action of gauge transformations; in so doing, no Hamiltonian structure…

高能物理 - 理论 · 物理学 2011-09-29 S. L. Lyakhovich , A. A. Sharapov

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

高能物理 - 理论 · 物理学 2009-11-07 Amitabha Lahiri

Within the framework of the path-integral formalism we reinvestigate the different methods of removing the unphysical degrees of freedom from spontanously broken gauge theories. These are: construction of the unitary gauge by gauge fixing;…

高能物理 - 唯象学 · 物理学 2009-10-22 Carsten Grosse-Knetter , Reinhart Koegerler

The Lagrangians and Hamiltonians of classical field theory require to comprise gauge fields in order to be form-invariant under local gauge transformations. These gauge fields have turned out to correctly describe pertaining elementary…

核理论 · 物理学 2023-04-26 Jürgen Struckmeier

We formulate quantum electrodynamics on the basis of gauge (or BRST) covariant diffusion equations of fields. This is a particular example of the gradient flow exact renormalization group (GFERG). The resulting Wilson action fulfills a…

高能物理 - 理论 · 物理学 2021-12-07 Yuki Miyakawa , Hidenori Sonoda , Hiroshi Suzuki

An irreducible antifield BRST quantization method for reducible gauge theories is proposed. The general formalism is illustrated in the case of the Freedman-Townsend model.

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

A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. Thereby, osp(1,2) is considered as subalgebra of the superalgebra sl(1,2) which is interpreted as conformal algebra…

高能物理 - 理论 · 物理学 2007-05-23 Bodo Geyer , Dietmar Muelsch

We show that noncommuting electric fields occur naturally in $\theta$-expanded noncommutative gauge theories. Using this noncommutativity, which is field dependent, and a hamiltonian generalisation of the Seiberg-Witten Map, the algebraic…

高能物理 - 理论 · 物理学 2009-11-07 Rabin Banerjee

This paper is devoted to the study of closed string field theory in two dimensions. We compare two different approaches: BRST closed string field theory and the string effective Lagrangian. We show that the quadratic action and the pole…

高能物理 - 理论 · 物理学 2009-10-28 Julian Lee , Branko Urosevic

It is proved that the SU(2)-symmetric model of hadrodynamics can well be set up on the gauge-invariance principle. The quantization of the model can readily be performed in the Lagrangian path-integral formalisms by using the Lagrangian…

核理论 · 物理学 2007-05-23 Jun-Chen Su , Hai-Jun Wang

Lagrange multipliers are present in any gauge theory. They possess peculiar gauge transformation which is not generated by the constraints in the model as it is the case with the other variables. For rank one gauge theories we show how to…

高能物理 - 理论 · 物理学 2007-05-23 M. N. Stoilov

Quantum localization of classical mechanics within the BRST-BFV and BV (or field-antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit…

高能物理 - 理论 · 物理学 2016-07-11 Igor A. Batalin , Peter M. Lavrov

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge…

高能物理 - 理论 · 物理学 2016-03-31 R. R. Metsaev

E. Noether's general analysis of conservation laws has to be completed in a Lagrangian theory with local gauge invariance. Bulk charges are replaced by fluxes of superpotentials. Gauge invariant bulk charges may subsist when distinguished…

广义相对论与量子宇宙学 · 物理学 2009-10-31 B. Julia , S. Silva

We provide the geometrical interpretation for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) interacting U(1) gauge theory within the framework of…

高能物理 - 理论 · 物理学 2011-11-18 R. P. Malik

We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely…

高能物理 - 理论 · 物理学 2015-06-15 Peter M. Lavrov , Olaf Lechtenfeld

We introduce the notion of finite BRST-antiBRST transformations, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters and find explicit Jacobians corresponding to these changes of…

高能物理 - 理论 · 物理学 2019-11-21 Pavel Yu. Moshin , Alexander A. Reshetnyak

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

高能物理 - 理论 · 物理学 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

高能物理 - 理论 · 物理学 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

We obtain the Ward identities and the gauge-dependence of Green's functions in non-Abelian gauge theories by using only the canonical commutation relations and the equations of motion for the Heisenberg operators. The consideration is…

高能物理 - 理论 · 物理学 2008-12-15 I. V. Tyutin