Gauge fixation and global phase time for minisuperspaces
نویسنده
چکیده
Homogeneous and isotropic cosmological models whose Hamilton-Jacobi equation is separable are deparametrized by turning their action functional into that of an ordinary gauge system. Canonical gauge conditions imposed on the gauge system are used to define a global phase time in terms of the canonical coordinates and momenta of the minisuperspaces. The procedure clearly shows how the geometry of the constraint surface restricts the choice of time; the consequences that this has on the path integral quantization are discussed. PACS numbers: 04.60.Kz 04.60.Gw 98.80.Hw Electronic address: [email protected] 1
منابع مشابه
hep-th/9512146 CANONICAL GAUGES IN THE PATH INTEGRAL FOR PARAMETRIZED SYSTEMS
It is well known that –differing from ordinary gauge systems– canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation. However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation ...
متن کاملQuantization of minisuperspaces as ordinary gauge systems
Simple cosmological models are used to show that gravitation can be quantized as an ordinary gauge system if the Hamilton-Jacobi equation for the model under consideration is separable. In this situation, a canonical transformation can be performed such that in terms of the new variables the model has a linear and homogeneous constraint, and therefore canonical gauges are admissible in the path...
متن کاملMolecular-Friendly Histopathology
The rapidly expanding fields of pharmacogenomics and pharmacodiagnostics have presented the pathology laboratories with many challenges and opportunities. As custodians of patient tissues, these laboratories are in the logical position to perform biomolecular testing for proper management of patients. In order to meet these challenges, the pathology laboratories of the twenty-first century shou...
متن کاملGlobal phase time and path integral for the Kantowski–Sachs anisotropic universe
The action functional of the anisotropic Kantowski–Sachs cosmological model is turned into that of an ordinary gauge system. Then a global phase time is identified for the model by imposing canonical gauge conditions, and the quantum transition amplitude is obtained by means of the usual path integral procedure of Fadeev and Popov.
متن کاملEmbedding of a 2D Graphene System in Non-Commutative Space
The BFT approach is used to formulate the electronic states in graphene through a non-commutative space in the presence of a constant magnetic field B for the first time. In this regard, we introduce a second class of constrained system, which is not gauge symmetric but by applying BFT method and extending phase space, the second class constraints converts to the first class constraints so th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001