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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…

高能物理 - 理论 · 物理学 2008-11-26 Mu-In Park , Young-Jai Park , Sean J. Yoon

In the framework of superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism, the derivation of the (anti-)BRST nilpotent symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing…

高能物理 - 理论 · 物理学 2010-11-05 R. P. Malik

We capture the off-shell as well as the on-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the…

高能物理 - 理论 · 物理学 2008-11-26 R. P. Malik

We show that the harmonic Becchi-Rouet-Stora-Tyutin method of quantizing bosonic systems with second-class constraints or first-class holomorphic constraints extends to systems having both bosonic and fermionic second-class or first-class…

高能物理 - 理论 · 物理学 2013-11-13 Theodore J. Allen , Dennis B. Crossley

We consider a second degree algebraic curve describing a general conic constraint imposed on the motion of a massive spinless particle. The problem is trivial at classical level but becomes involved and interesting in its quantum…

高能物理 - 理论 · 物理学 2017-06-13 Gabriel D. Barbosa , Ronaldo Thibes

The nonlocal regularization method, recently proposed in ref.\,\ct{emkw91,kw92,kw93}, is extended to general gauge theories by reformulating it along the ideas of the antibracket-antifield formalism. From the interplay of both frameworks a…

高能物理 - 理论 · 物理学 2016-08-15 Jordi París

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

高能物理 - 理论 · 物理学 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

The quantization of gauge-affine gravity within the superfiber bundle formalism is proposed. By introducing an even pseudotensorial 1-superform over a principal superfibre bundle with superconnection, we obtain the geometrical…

高能物理 - 理论 · 物理学 2009-11-10 A. Meziane , M. Tahiri

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge…

We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29, 1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021 (2015) and extend the class of finite BRST-antiBRST transformations with odd-valued…

高能物理 - 理论 · 物理学 2016-07-14 Pavel Yu. Moshin , Alexander A. Reshetnyak

The paper is devoted to the study of BRST charge in perturbed two dimensional conformal field theory. The main goal is to write the operator equation expressing the conservation law of BRST charge in perturbed theory in terms of purely…

高能物理 - 理论 · 物理学 2008-11-26 Anton M. Zeitlin

We perform the BFV-BRST quantization of the fourth-order Pais-Uhlenbeck oscillator (PUO). We show that although the PUO is not naturally constrained in the sense of Dirac-Bergmann, it is possible to profit from the introduction of suitable…

高能物理 - 理论 · 物理学 2022-02-03 Bhabani Prasad Mandal , Vipul Kumar Pandey , Ronaldo Thibes

We consider a non-Abelian Lee--Wick gauge theory and discuss Becchi-Rouet-Stora-Tyutin (BRST) invariance. It contains fourth-order derivative as extensions of the kinetic term, leading to massive ghosts in the theory upon quantization. We…

高能物理 - 唯象学 · 物理学 2023-12-05 Marco Frasca , Anish Ghoshal , Alexey S. Koshelev

The derivation of the exact and unique nilpotent Becchi-Rouet-Stora-Tyutin (BRST)- and anti-BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing problem in the framework of…

高能物理 - 理论 · 物理学 2011-07-19 R. P. Malik

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

The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the…

高能物理 - 理论 · 物理学 2009-11-11 Ben Craps , Kostas Skenderis

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…

高能物理 - 理论 · 物理学 2009-11-10 Igor Batalin , Igor Tyutin

The microcanonical density matrix in closed cosmology has a natural definition as a projector on the space of solutions of Wheeler-DeWitt equations, which is motivated by the absence of global non-vanishing charges and energy in spatially…

高能物理 - 理论 · 物理学 2015-06-16 Andrei O. Barvinsky

We present the Curci-Ferrari model on the lattice. In the massless case the topological interpretation of this model with its double BRST symmetry relates to the Neuberger 0/0 problem which we extend to include the ghost/anti-ghost…

高能物理 - 理论 · 物理学 2008-11-26 Lorenz von Smekal , Marco Ghiotti , Anthony G Williams

We first analyze the anti-BRST and double BRST structures of a certain higher derivative theory that has been known to possess BRST symmetry associated with its higher derivative structure. We discuss the invariance of this theory under…

高能物理 - 理论 · 物理学 2011-04-04 Mir Faizal , Mozzam Khan