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We study a model of n coupled scalar fields in Minkowski spacetime where all masses degenerate, which is considered as a toy model of polycritical gravity on AdS spacetime. We quantize this model within the Becchi-Rouet-Stora-Tyutin (BRST)…

高能物理 - 理论 · 物理学 2013-10-30 Yong-Wan Kim , Yun Soo Myung , Young-Jai Park

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

The enforcement of the unimodularity condition in a gravity theory by means of a Lagrange multiplier leads, in general, to inconsistencies upon quantization. This is so, in particular, when the classic linear splitting of the metric between…

高能物理 - 理论 · 物理学 2023-09-29 David Garcia-Lopez , Carmelo P. Martin

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

BRST quantization is an elegant and powerful method to quantize theories with local symmetries. In this article we study the Hamiltonian BRST quantization of cosmological perturbations in a universe dominated by a scalar field, along with…

高能物理 - 理论 · 物理学 2016-11-10 Cristian Armendariz-Picon , Gizem Şengör

The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role in the quantization of gauge theories. The BRST transformation is also very important tool in characterizing the various renormalizable field theoretic models. The…

高能物理 - 理论 · 物理学 2013-08-06 Sudhaker Upadhyay

The Becci-Rouet-Stora-Tyutin (BRST) operator quantization of a finite-dimensional gauge system featuring two quadratic super Hamiltonian and m linear supermomentum constraints is studied as a model for quantizing generally covariant gauge…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Rafael Ferraro , Daniel M. Sforza

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…

广义相对论与量子宇宙学 · 物理学 2015-10-01 Sudhaker Upadhyay

A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent but…

高能物理 - 理论 · 物理学 2009-10-30 Robert Marnelius , Ikuo S. Sogami

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

The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear $O(3)$ model in $2+1$ dimensions. We show that this method allows for a simple and systematic treatment of zero-modes with a…

高能物理 - 理论 · 物理学 2009-10-28 J. P. Garrahan , L. M. Kruczenski , C. L. Schat , D. R. Bes , N. N. Scoccola

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a $B\wedge F$ coupling and a kinetic term for $B$ is included, the gauge field develops an effective mass. The theory can be made invariant under a…

高能物理 - 唯象学 · 物理学 2016-08-24 Amitabha Lahiri

Despite the fact that quantum gravity is non-renormalisable, a consistent and mathematically rigorous construction of a perturbation series is possible. This is based on the use of the Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin formalism…

广义相对论与量子宇宙学 · 物理学 2022-12-26 Romeo Brunetti , Klaus Fredenhagen , Kasia Rejzner

The non-perturbative validity of covariant BRST-quantization of gauge theories on compact Euclidean space-time manifolds is reviewed. BRST-quantization is related to the construction of a Topological Quantum Field Theory (TQFT) of Witten…

高能物理 - 理论 · 物理学 2007-05-23 Martin Schaden

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…

The Becchi-Rouet-Stora-Tyutin (BRST) treatment for the quantization of collective coordinates is considered in the Lagrangian formalism. The motion of a particle in a Riemannian manifold is studied in the case when the classical solutions…

高能物理 - 理论 · 物理学 2009-10-30 Juan P. Garrahan , Martin Kruczenski , Daniel R. Bes

Gauge-invariant descriptions for a free bosonic scalar field of continuous spin in a $d$-dimensional Minkowski space-time using a metric-like formulation are constructed on the basis of a constrained BRST-BFV approach we propose. The…

高能物理 - 理论 · 物理学 2020-09-10 C. Burdik , V. K. Pandey , A. Reshetnyak

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for…

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

A kind of topological field theory is proposed as a candidate to describe the global structure of the 2-form Einstein gravity with or without a cosmological constant. Indeed in the former case, we show that a quantum state in the candidate…

高能物理 - 理论 · 物理学 2009-10-22 H. Y. Lee , A. Nakamichi , T. Ueno

Two-dimensional supergravity theory is quantized as an anomalous gauge theory. In the Batalin-Fradkin (BF) formalism, the anomaly-canceling super-Liouville fields are introduced to identify the original second-class constrained system with…

高能物理 - 理论 · 物理学 2016-09-06 T. Fujiwara , Y. Igarashi , R. Kuriki , T. Tabei
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