共查询到18条相似文献,搜索用时 78 毫秒
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给出了高阶徽商场论中奇异拉氏量系统规范生成元的构成.从相空间中Green函数的生成泛函出发,导出了约束Hamilton系统正则形式的Ward恒等式.指出该系统的量子正则方程与由Dirac猜想得到的经典正则方程不同.给出了与Chern-Simons理论等价的一个广义动力学系统的量子化.将正则Ward恒等式初步应用于该系统,不作出对正则动量的路径积分,也可导出场的传播子与正规顶角之间的某些关系. 相似文献
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分别从Faddeev-Popov(FP)和Faddeev-Senjanovic(FS)路径积分量子化方法对高阶微商规范不变系统导致的位形空间和相空间生成泛函出发,导出规范系统在量子水平下的守恒律,用于高阶Maxwell非Abel Chern-Simons(CS)理论,得到了高阶Maxwell非AbelCS理论与标量场耦合系统的量子BRS守恒荷和量子守恒角动量,无论从闰形空间或相空间的生成泛函出发,其结果是相同的,并对CS理论中的分数自旋性质给予了讨论。 相似文献
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导出了高阶微商奇异拉氏量系统正则形式的Ward恒等式并将其应用于广义色动力学(QCD),得到了广义QCD中规范场和鬼场正规顶角间的某些新关系,它们有别于BRS不变性所导致的结果;还得到了广义QCD中的PCAC和AVV顶角的Ward恒等式. 相似文献
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研究奇异系统Hamilton正则方程的形式不变性即Mei对称性,给出其定义、确定方程、限制方程和附加限制方程.研究奇异系统Hamilton正则方程的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量.给出一个例子说明结果的应用.
关键词:
奇异系统
Hamilton正则方程
约束
对称性
守恒量 相似文献
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本文导出场论中用奇异拉氏量描述的系统正则形式的广义Noether第一定理(GNFT),导出无限连续群下变更性系统正则形式的广义Noether恒等式(GNI),讨论了它们在Dirac约束理论中的应用。给出一个新的反倒,说明Dirac猜想失效,指出某些变更性系统也具有Dirac约束,讨论了GNI在色动力学中的应用。
关键词: 相似文献
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研究Hamilton系统的形式不变性即Mei对称性,给出其定义和确定方程.研究Hamilton系统的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量.给出一个例子说明本文结果的应用.
关键词:
Hamilton系统
Mei对称性
Noether对称性
Lie对称性
守恒量 相似文献
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The extended canonical Noether identities and canonical first Noether
theorem derived from an extended action in phase space for a system with a
singular Lagrangian are formulated. Using these canonical Noether
identities, it can be shown that the constraint multipliers connected with
the first-class constraints may not be independent, so a query to a
conjecture of Dirac is presented. Based on the symmetry properties of the
constrained Hamiltonian system in phase space, a counterexample to a
conjecture of Dirac is given to show that Dirac's conjecture
fails in such a system. We present here a different way rather than
Cawley's examples and other's ones in that there is no
linearization of constraints in the problem. This example has a feature that
neither the primary first-class constraints nor secondary first-class
constraints are generators of the gauge transformation. 相似文献
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We discuss the stationarity of generator G for gauge symmetries in two directions.One is to the motion equations defined by total Hamiltonian HT,and gives that the number of the independent coefficients in the generator G is not greater than the number of the primary first-class constraints,and the number of Noether conserved charges is not greater than that of the primary first-class constraints,too.The other is to the variances of canonical variables deduced from the generator G,and gives the variances of Lagrangian multipliers contained in extended Hamiltonian HE.And a second-class constraint generated by a first-class constraint may imply a new first-class constraint which can be combined by introducing other second-class constraints.Finally,we supply two examples.One with three first-class constraints (two is primary and one is secondary) has two Noether conserved charges,and the secondary first-class constraint is combined by three second-class constraints which are a secondary and two primary second-class constraints.The other with two first-class constraints (one is primary and one is secondary) has one Noehter conserved charge. 相似文献
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Dirac‘s method which itself is for constrained Boson fields and particle systems is followed and developed to treat Dirac fields in light-front coordinates. 相似文献
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A simple algorithm to construct the generator of gauge transformation for a constrained canonical system with a singular higher-order Lagrangian in field theories is developed. Based on phase-space generating functional of Green function for such a system, the generalized canonical Ward identities under the non-local transformation have been deduced. For the gauge-invariant system, based on configuration-space generating functional, the generalized Ward identities under the non-local transformation have been also derived.The conservation laws are deduced at the quantum level. The applications of the above results to the gauge invariance massive vector field and non-Abelian Chern–Simons(CS) theories with higher-order derivatives are given, a new form of gauge-ghost proper vertices, and Ward–Takahashi identity under BRS transformation and BRS charge at the quantum level are obtained. In the canonical formulation one does not need to carry out the integration over canonical momenta in phase-space path integral as usually performed. 相似文献
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On a manifold equipped with a bivector field, we introduce for every Hamiltonian a Lagrangian on paths valued in the cotangent space whose stationary points project onto Hamiltonian vector fields. We show that the remaining components of those stationary points tell whether the bivector field is Poisson or at least defines an integrable distribution—a class of bivector fields generalizing twisted Poisson structures that we study in detail. 相似文献
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Constrained Hamiltonian systems with singular higher-order Lagrangians are investigated by using two methods: the Dirac's and the Hamilton-Jacobi methods. Three examples are studied and it is shown that the equations of motion which are obtained by these two methods are in exact agreement. 相似文献
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Hosam A. El-Zalan Sami I. Muslih Eqab M. Rabei Dumitru Baleanu 《International Journal of Theoretical Physics》2008,47(9):2195-2202
In this paper the Hamilton formulation for continuous systems with second order derivatives has been developed. We generalized
the Hamilton formulation for continuous systems with second order derivatives and apply this new formulation to Podolsky generalized
electrodynamics, comparing with the results obtained through Dirac’s method. 相似文献
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Starting from the phase-space generating functional of the Green function for a system with singular higher order Lagrangian,
the generalized canonical Ward identities under the global symmetry transformation in phase space is deduced. The local transformation
connected with this global symmetry transformation is studied, and the quantal conservation laws are obtained for such a system.
We give a preliminary application to higher derivative Yang-Mills theory; a generalized quantal BRS conserved quantity is
found. 相似文献