共查询到19条相似文献,搜索用时 93 毫秒
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在依据Dirac约束规范理论和作推广后的条件下,导出了规范生成元,推导出了1+1维O(3)非线性σ模型的一般条件(β≠0)下的BRST变换,给出了其BRST变换与Dirac规范变换的等价关系,得到了鬼场的新的一般对易关系,且其一般参数β为零时就回到通常的鬼场的对易关系.并由规范生成元导出了BRST荷,进而完成了此模型的一种BRST量子化.还在此基础上进一步导出了此系统的Green函数生成泛函、连通Green函数生成泛函和正规顶角生成泛函,获得了3种不同的Ward恒等式 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AbelChern–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,无论从位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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The covariant two-dimensional action principle that describes the dynamics of free superstrings in a Minkowski background is reviewed. Covariant gauge conditions are formulated, which simplify the equations of motion of the superspace coordinates to free equations. In this gauge there are bosonic and fermionic constraints whose generators give a supersymmetric generalization of the Virasoro algebra. As in certain supersymmetric field theories, closure of the algebra requires using the equations of motion. Covariant constrained bracket relations are obtained for the classical theory, but it is very difficult to extend them to quantum mechanical commutation relations. Interaction vertices satisfying supersymmetry and the necessary gauge conditions are constructed. They reduce in a special frame to ones found in earlier work in the light-cone gauge, and then can be interpreted quantum mechanically. 相似文献
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P. Narayana Swamy 《International Journal of Theoretical Physics》2009,48(8):2432-2440
Many of us are familiar with Feynman’s “proof” of 1948, as revealed by Dyson, which demonstrates that Maxwell equations of
electromagnetism are a consequence of Newton’s laws of motion of classical mechanics and the commutation relations of coordinate
and momentum of quantum mechanics. It was Feynman’s purpose to explore the universality of dynamics of particles while making
the fewest assumptions. We re-examine this formulation in the context of quantum gravity and show how Feynman’s derivation
can be extended to include quantum gravity. 相似文献
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We discuss quantum fields on Riemannian space-time. A principle of local definiteness is introduced which is needed beyond equations of motion and commutation relations to fix the theory uniquely. It also allows us to formulate local stability. In application to a region with a time-like Killing vector field and horizons it yields the value of the Hawking temperature. The concept of vacuum and particles in a non-stationary metric is treated in the example of the Robertson-Walker metric and some remarks on detectors in non-inertial motion are added. 相似文献
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R. J. Rivers 《International Journal of Theoretical Physics》2011,50(4):1081-1096
Inner products in pseudo-Hermitian quantum theories depend on the details of the Hamiltonians themselves, which makes them
difficult to calculate. We shall see that, for some questions, the functional integrals for such theories can be calculated
without needing to determine the inner product metric. The reason is that their derivation is based on the Heisenberg equations
of motion and the canonical commutation relations, which are unchanged. In particular, this can greatly simplify the derivation
of Hermitian theories that are equivalent to these pseudo-Hermitian systems. 相似文献
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Akash Bandyopadhyay 《International Journal of Theoretical Physics》1993,32(9):1563-1571
This work starts by generalizing in a gravitational field the fundamental quantum mechanical commutation relations between the coordinates of a charged test particle and its momentum. Assuming that the components of the momentum of this test charge obey a noncommutative algebra in the presence of an electromagnetic field, it is proved that the commutator can be identified with the electromagnetic field tensor. Using these results, the equation of motion of this charged object in the presence of both the electromagnetic and gravitational fields is derived from their field equations. In this work, the laws of motion of a particle in the electromagnetic and gravitational fields has been unified with the field equations. Although the field equations themselves are not directly unified, this work strongly suggests that the scheme may act as a possible framework for the unification of at least gravitational and electromagnetic interactions. 相似文献
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P. P. Kulish 《Letters in Mathematical Physics》1981,5(3):191-197
The quantum inverse problem method is applied to the nonlinear Schrödinger equation on a one-dimensional chain. The commutation relations of field operators are noncanonical. The generating functional of quantum integrals of the motion, creation and annihilation operators of the eigenstates are constructed. 相似文献
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We investigate a quantum physical system that can be naturally separated into fast and slow moving components. A modification of the conventional molecular Born-Oppenheimer approximation is considered by taking the intermolecular position vector to be a slowlyvarying quantum mechanical parameter. It is found that the fast motion (electronic degrees of freedom) induces a non-Abelian vector potential (Berry connection) into the dynamics of the slow system (nucleus), thereby modifying the commutation relations of the slow variables. 相似文献