共查询到20条相似文献,搜索用时 31 毫秒
1.
We first analyse 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 shift symmetry
in the Batalin–Vilkovisky (BV) formalism. We show that the action for this theory can be written in a manifestly extended
BRST invariant manner in superspace formalism using one Grassmann coordinate. It can also be written in a manifestly extended
BRST invariant manner and on-shell manifestly extended anti-BRST invariant manner in superspace formalism using two Grassmann
coordinates. 相似文献
2.
Mir Faizal 《理论物理通讯》2012,(11)
In this paper we will study non-abelian Chern-Simons theory on a deformed superspace. We will deform the superspace in such a way that it includes the noncommutativity between bosonic and fermionic coordinates. We will first analyse the BRST and the anti-BRST symmetries of the Chern-Simons theory on this deformed superspace. Then we will analyse the extended BRST and the extended anti-BRST symmetries of this theory in the Batalin-Vilkovisky (BV) formalism. Finally, we will express these extended BRST and extended anti-BRST symmetries in extended superspace formalism by introducing new Grassmann coordinates. 相似文献
3.
Mir Faizal 《理论物理通讯》2012,(5):704-710
In this paper we will study non-abelian Chern-Simons theory on a deformed superspace. We will deform the superspace in such a way that it includes the noncommutativity between bosonic and fermionic coordinates. We will first analyse the BRST and the anti-BRST symmetries of the Chern-Simons theory on this deformed superspace. Then we will analyse the extended BRST and the extended anti-BRST symmetries of this theory in the Batalin-Vilkovisky (BV) formalism. Finally, we will express these extended BRST and extended anti-BRST symmetries in extended superspace formalism by introducing new Grassmann coordinates. 相似文献
4.
5.
We propose a systematic procedure for extracting gauge invariant and gauge fixed actions for various higher-spin gauge field theories from covariant bosonic open string field theory. By identifying minimal gauge invariant part for the original free string field theory action, we explicitly construct a class of covariantly gauge fixed actions with BRST and anti-BRST invariance. By expanding the actions with respect to the level N of string states, the actions for various massive fields including higher-spin fields are systematically obtained. As illustrating examples, we explicitly investigate the level N?3 part and obtain the consistent actions for massive graviton field, massive 3rd rank symmetric tensor field, or anti-symmetric field. We also investigate the tensionless limit of the actions and explicitly derive the gauge invariant and gauge fixed actions for general rank n symmetric and anti-symmetric tensor fields. 相似文献
6.
Valentin Mader Martin Schaden Daniel Zwanziger Reinhard Alkofer 《The European Physical Journal C - Particles and Fields》2014,74(5):1-20
We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo–Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov–Zwanziger theory. 相似文献
7.
R.P. Malik 《The European Physical Journal C - Particles and Fields》2006,48(3):825-834
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 the superfield
approach to the BRST formalism. These nilpotent symmetry transformations are deduced for the four (3+1)-dimensional (4D) complex
scalar fields, coupled to the U(1) gauge field, in the framework of an augmented superfield formalism. This interacting gauge
theory (i.e. QED) is considered on a six (4,2)-dimensional supermanifold parametrized by four even spacetime coordinates and a couple of odd elements of the Grassmann algebra. In addition to the horizontality condition (that is responsible for the derivation of
the exact nilpotent symmetries for the gauge field and the (anti-)ghost fields), a new restriction on the supermanifold, owing
its origin to the (super) covariant derivatives, has been invoked for the derivation of the exact nilpotent symmetry transformations
for the matter fields. The geometrical interpretations for all the above nilpotent symmetries are discussed, too.
PACS 11.15.-q, 12.20.-m, 03.70.+k 相似文献
8.
R.P. Malik 《The European Physical Journal C - Particles and Fields》2006,47(1):227-234
We derive the off-shell nilpotent (anti-)BRST symmetry transformations for the interacting U(1) gauge theory of quantum electrodynamics
(QED) in the framework of the augmented superfield approach to the BRST formalism. In addition to the horizontality condition,
we invoke another gauge invariant condition on the six (4,2)-dimensional supermanifold to obtain the exact and unique nilpotent
symmetry transformations for all the basic fields present in the (anti-)BRST invariant Lagrangian density of the physical
four (3+1)-dimensional QED. The above supermanifold is parametrized by four even space–time variables
(with μ=0,1,2,3) and two odd variables (θ and
) of the Grassmann algebra. The new gauge invariant condition on the supermanifold owes its origin to the (super) covariant
derivatives and leads to the derivation of unique nilpotent symmetry transformations for the matter fields. The geometrical
interpretations for all the above off-shell nilpotent (anti-)BRST transformations are also discussed.
PACS 11.15.-q, 12.20.-m, 03.70.+k 相似文献
9.
Mir Faizal 《Foundations of Physics》2011,41(2):270-277
In perturbative quantum gravity, the sum of the classical Lagrangian density, a gauge fixing term and a ghost term is invariant
under two sets of supersymmetric transformations called the BRST and the anti-BRST transformations. In this paper we will
analyse the BRST and the anti-BRST symmetries of perturbative quantum gravity in curved spacetime, in linear as well as non-linear
gauges. We will show that even though the sum of ghost term and the gauge fixing term can always be expressed as a total BRST
or a total anti-BRST variation, we can express it as a combination of both of them only in certain special gauges. We will
also analyse the violation of nilpotency of the BRST and the anti-BRST transformations by introduction of a bare mass term,
in the massive Curci-Ferrari gauge. 相似文献
10.
R. P. Malik 《Physics of Particles and Nuclei》2012,43(5):669-672
We discuss a D-dimensional Abelian 3-form gauge theory within the framework of Bonora-Tonin’s superfield formalism and derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for this theory. To pay our homage to Victor I. Ogievetsky (1928–1996), who was one of the inventors of Abelian 2-form (antisymmetric tensor) gauge field, we go a step further and discuss the above D-dimensional Abelian 3-form gauge theory within the framework of BRST formalism and establish that the existence of the (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is the hallmark of any arbitrary p-form gauge theory (discussed within the framework of BRST formalism). 相似文献
11.
We show that it is possible to formulate the most general first-class gauge algebra of the operator formalism by only using BRST-invariant constraints. In particular, we extend a previous construction for irreducible gauge algebras to the reducible case. The gauge algebra induces two nilpotent, Grassmann-odd, mutually anti-commuting BRST operators that bear structural similarities with BRST/anti-BRST theories but with shifted ghost number assignments. In both cases we show how the extended BRST algebra can be encoded into an operator master equation. A unitarizing Hamiltonian that respects the two BRST symmetries is constructed with the help of a gauge-fixing boson. Abelian reducible theories are shown explicitly in full detail, while non-Abelian theories are worked out for the lowest reducibility stages and ghost momentum ranks. 相似文献
12.
We study the quantization of two versions of unimodular gravity, namely fully diffeomorphism-invariant unimodular gravity and unimodular gravity with fixed metric determinant, utilizing standard path integral approach. We derive the BRST symmetry of effective actions corresponding to several relevant gauge conditions. We observe that for some gauge conditions, the restricted gauge structure may complicate the formulation and effective actions, in particular, if the chosen gauge conditions involve the canonical momentum conjugate to the induced metric on the spatial hypersurface. The BRST symmetry is extended further to the finite field-dependent BRST transformation, in order to establish the mapping between different gauge conditions in each of the two versions of unimodular gravity. 相似文献
13.
Mir Faizal 《理论物理通讯》2012,57(4):637-640
In this paper we will analyse the Aharony-Bergman-Jafferis-Maldacena(ABJM) theory in N = 1 superspace formalism.We then study the quantum gauge transformations for this ABJM theory in gaugeon formalism.We will also analyse the extended BRST symmetry for this ABJM theory in gaugeon formalism and show that these BRST transformations for this theory are nilpotent and this in turn leads to the unitary evolution of the S-matrix. 相似文献
14.
Michael Dütsch José M. Gracia-Bondía Florian Scheck Joseph C. Várilly 《The European Physical Journal C - Particles and Fields》2010,69(3-4):599-621
We examine the status of massive gauge theories, such as those usually obtained by spontaneous symmetry breakdown, from the viewpoint of causal (Epstein–Glaser) renormalization. The BRST formulation of gauge invariance in this framework, starting from canonical quantization of massive (as well as massless) vector bosons as fundamental entities, and proceeding perturbatively, allows one to rederive the reductive group symmetry of interactions, the need for scalar fields in gauge theory, and the covariant derivative. Thus the presence of higgs particles is understood without recourse to a Higgs(–Englert–Brout–Guralnik–Hagen–Kibble) mechanism. Along the way, we dispel doubts about the compatibility of causal gauge invariance with grand unified theories. 相似文献
15.
Sudhaker Upadhyay Bhabani Prasad Mandal 《The European Physical Journal C - Particles and Fields》2011,71(9):1759
We consider (1+1) dimensional theory for a single self-dual chiral boson as a classical model for gauge theory. Using the
Batalin–Fradkin–Vilkovisky (BFV) technique, the nilpotent BRST and anti-BRST symmetry transformations for this theory have
been studied. In this model other forms of nilpotent symmetry transformations like co-BRST and anti-co-BRST, which leave the
gauge-fixing part of the action invariant, are also explored. We show that the nilpotent charges for these symmetry transformations
satisfy the algebra of the de Rham cohomological operators in differential geometry. The Hodge decomposition theorem on compact
manifold is also studied in the context of conserved charges. 相似文献
16.
In gauge theories, not all rigid symmetries of the classical action can be maintained manifestly in the quantization procedure, even in the absence of anomalies. If this occurs for an anomaly-free symmetry, the effective action is invariant under a transformation that differs from its classical counterpart by quantum corrections. In this note, we set up a harmonic superspace formalism for computing quantum deformations of superconformal symmetry in the N = 4 supersymmetric Yang–Mills theory. 相似文献
17.
Dual electrodynamics and corresponding Maxwell’s equations (in the presence of monopole only) are revisited from the symmetry
of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory
of generalized electromagnetic fields of dyons has been developed consistently from U(1)×U(1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for
U(1)×U(1) gauge symmetry for the justification of two four potentials of dyons. 相似文献
18.
S. Gupta R. Kumar R. P. Malik 《The European Physical Journal C - Particles and Fields》2010,70(1-2):491-502
We demonstrate the existence of the nilpotent and absolutely anticommuting Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive Abelian U(1) gauge theory that is described by the coupled Lagrangian densities (which incorporate the celebrated (B∧F) term). The absolute anticommutativity of the (anti-) BRST symmetry transformations is ensured by the existence of a Curci–Ferrari type restriction that emerges from the superfield formalism as well as from the equations of motion which are derived from the above coupled Lagrangian densities. We show the invariance of the action from the point of view of the symmetry considerations as well as superfield formulation. We discuss, furthermore, the topological term within the framework of superfield formalism and provide the geometrical meaning of its invariance under the (anti-)BRST symmetry transformations. 相似文献
19.
Friedemann Brandt 《Communications in Mathematical Physics》1997,190(2):459-489
The paper provides a framework for a systematic analysis of the local BRST cohomology in a large class of gauge theories.
The approach is based on the cohomology of s+d in the jet space of fields and antifields, s and d being the BRST operator and exterior derivative respectively. It relates the BRST cohomology to an underlying gauge covariant
algebra and reduces its computation to a compactly formulated problem involving only suitably defined generalized connections
and tensor fields. The latter are shown to provide the building blocks of physically relevant quantities such as gauge invariant
actions, Noether currents and gauge anomalies, as well as of the equations of motion.
Received: 25 July 1996 / Accepted: 23 April 1997 相似文献
20.
I. L. Buchbinder E. A. Ivanov O. Lechtenfeld I. B. Samsonov B. M. Zupnik 《Physics of Particles and Nuclei》2008,39(5):759-797
We review the non-anticommutative Q-deformations of = (1, 1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality
and harmonic Grassmann analyticity. The associated field theories arise as a low-energy limit of string theory in specific
backgrounds and generalize the Moyal-deformed supersymmetric field theories. A characteristic feature of the Q-deformed theories is the half-breaking of supersymmetry in the chiral sector of the Euclidean superspace. Our main focus
is on the chiral singlet Q-deformation, which is distinguished by preserving the SO(4) ∼ Spin(4) “Lorentz” symmetry and the SU(2) R-symmetry. We present the superfield and component structures of the deformed = (1, 0) supersymmetric gauge theory as well as of hypermultiplets coupled to a gauge superfield: invariant actions, deformed
transformation rules, and so on. We discuss quantum aspects of these models and prove their renormalizability in the Abelian
case. For the charged hypermultiplet in an Abelian gauge superfield background we construct the deformed holomorphic effective
action.
The text was submitted by the authors in English. 相似文献