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We consider the BRST gauge fixing procedure of the noncommutative Yang-Mills theory and of the gauged U(N) Proca model. An extended Seiberg-Witten map involving ghosts, antighosts and auxiliary fields for non Abelian gauge theories is…

高能物理 - 理论 · 物理学 2015-06-26 Ricardo Amorim , Henrique Boschi-Filho , Nelson R. F. Braga

We scrutinize the many known forms of BRST symmetries, as well as some new ones, realized within a prototypical first-class system. Similarities and differences among ordinary BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetries are…

高能物理 - 理论 · 物理学 2022-10-28 Bhabani Prasad Mandal , Sumit Kumar Rai , Ronaldo Thibes

The BRST quantization of the Abelian Proca model is performed using the Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class…

高能物理 - 理论 · 物理学 2009-10-30 Yong-Wan Kim , Mu-In Park , Young-Jai Park , Sean J. Yoon

We have found a nilpotent quantum symmetry of Yang-Mills theory restricted to the Gribov region. In fact, we give a set of transformations for the filds a la BRST that leaves the Gribov-Zwanziger action invariant and obeys the nilpotency,…

高能物理 - 理论 · 物理学 2009-05-25 Kei-Ichi Kondo

We present an alternative quantization for irreducible open gauge theories. The method relies on the possibility of modifying the classical BRST operator and the gauge-fixing action written as in Yang-Mills type theories, in order to obtain…

高能物理 - 理论 · 物理学 2009-11-07 N. Djeghloul , M. Tahiri

For any principal bundle $P$, one can consider the subspace of the space of connections on its tangent bundle $TP$ given by the tangent bundle $T{\cal A}$ of the space of connections ${\cal A}$ on $P$. The tangent gauge group acts freely on…

高能物理 - 理论 · 物理学 2009-10-30 A. S. Cattaneo , P. Cotta-Ramusino , M. Rinaldi

We show that in the background field method (BFM) quantization of Yang-Mills theory the dependence of the vertex functional on the background field is controlled by a canonical transformation w.r.t. the Batalin-Vilkovisky bracket, naturally…

高能物理 - 理论 · 物理学 2015-06-03 Andrea Quadri

Using the Non-Abelian Batalin-Vilkovisky formalism introduced recently, we present a generalization of the Yang-Mills gauge transformations , to include antisymmetric tensor fields as gauge bosons. The Freedman-Townsend transformation for…

高能物理 - 理论 · 物理学 2007-05-23 Jorge Alfaro

We analyze different BRST invariant solutions for the introduction of a mass term in Yang-Mills (YM) theories. First, we analyze the non-local composite gauge-invariant field $A^h_{\mu}(x)$, which can be localized by the Stueckelberg-like…

高能物理 - 理论 · 物理学 2023-10-11 D. M. van Egmond

Constrained hamiltonian structure of noncommutative gauge theory for the gauge group U(1) is discussed. Constraints are shown to be first class, although, they do not give an Abelian algebra in terms of Poisson brackets. The related…

高能物理 - 理论 · 物理学 2009-10-31 Omer F. Dayi

We quantize the Friedberg-Lee-Pang-Ren (FLPR) model within the framework of Batalin-Fradkin-Vilkovisky (BFV) formalism. We construct the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) charges using constraints and the fermionic gauge-fixing…

高能物理 - 理论 · 物理学 2026-03-30 Ansha S. Nair , Saurabh Gupta

We generalize the method of superfield Lagrangian BRST quantization in the part of the gauge-fixing procedure and obtain a quantization method that can be considered as an alternative to the Batalin - Vilkovisky formalism.

高能物理 - 理论 · 物理学 2007-05-23 P. M. Lavrov , P. Yu. Moshin

In view of a raging controversy on the topic of dual-Becchi-Rouet-Stora-Tyutin (dual-BRST/co-BRST) and anti-co-BRST symmetry transformations in the context of four (3+1)-dimensional (4D) Abelian 2-form and 2D (non-)Abelian 1-form gauge…

高能物理 - 理论 · 物理学 2015-05-30 S. Krishna , A. Shukla , R. P. Malik

It is known that the elimination of the anomalies in all orders of perturbation theory is an open problem. The constrains given by usual invariance properties and the Wess-Zumino identities are not enough to eliminate the anomalies in the…

高能物理 - 理论 · 物理学 2020-11-20 D. R. Grigore

With a recent revival, novel features of the FLPR model have been reported in the literature. A connection between those features to QCD involving the Gribov problem is explored. We investigate the FLPR model in a recently proposed…

高能物理 - 理论 · 物理学 2026-04-06 Bhabani Prasad Mandal , Sumit Kumar Rai , Ronaldo Thibes

The BRST-antiBRST invariant path integral formulation of classical mechanics of Gozzi et al is generalized to pseudomechanics. It is shown that projections to physical propagators may be obtained by BRST-antiBRST invariant boundary…

高能物理 - 理论 · 物理学 2009-10-31 Robert Marnelius

The BRST-anti-BRST covariant extension is suggested for the split involution quantization scheme for the second class constrained theories. The constraint algebra generating equations involve on equal footing a pair of BRST charges for…

高能物理 - 理论 · 物理学 2009-10-31 I. Yu. Karataeva , S. L. Lyakhovich

The BFV-BRST Hamiltonian quantization method is presented for the theories where the gauge parameters are restricted by differential equations. The general formalism is exemplified by the Maxwell-like theory of symmetric tensor field.

高能物理 - 理论 · 物理学 2021-09-28 V. A. Abakumova , S. L. Lyakhovich

It is shown how the BRST quantization can be applied to a gauge invariant sector of theories with anomalously broken symmetries. This result is used to show that shifting the anomalies to a classically trivial sector of fields (Wess-Zumino…

高能物理 - 理论 · 物理学 2008-11-26 Nelson R. F. Braga

A power-counting renormalizable model into which massive Yang-Mills theory is embedded is analyzed. The model is invariant under a nilpotent BRST differential s. The physical observables of the embedding theory, defined by the cohomology…

高能物理 - 理论 · 物理学 2016-09-06 Andrea Quadri