Path integral and effective Hamiltonian in loop quantum cosmology
نویسندگان
چکیده
منابع مشابه
Effective scenario of loop quantum cosmology.
Semiclassical states in isotropic loop quantum cosmology are employed to show that the improved dynamics has the correct classical limit. The effective Hamiltonian for the quantum cosmological model with a massless scalar field is thus obtained, which incorporates also the next to leading order quantum corrections. The possibility that the higher order correction terms may lead to significant d...
متن کاملCovariant Effective Action for Loop Quantum Cosmology
In loop quantum cosmology, non-perturbative quantum gravity effects lead to the resolution of the big bang singularity by a quantum bounce without introducing any new degrees of freedom. Though fundamentally discrete, the theory admits a continuum description in terms of an effective Hamiltonian. Here we provide an algorithm to obtain the corresponding effective action, establishing in this way...
متن کاملOn Duru-Kleinert Path Integral in Quantum Cosmology
We show that the Duru-Kleinert fixed energy amplitude leads to the path integral for the propagation amplitude in the closed FRW quantum cosmology with scale factor as one degree of freedom. Then, using the Duru-Kleinert equivalence of corresponding actions, we calculate the tunneling rate, with exact prefactor, through the dilute-instanton approximation to first order in h̄. ∗e-mail: tabriz u@v...
متن کاملViolation of Strong Energy Condition in Effective Loop Quantum Cosmology
In loop quantum cosmology nonperturbative modification to a scalar matter field at short scales implies inflation which also means a violation of the strong energy condition. In the framework of effective Hamiltonian we discuss the issue of violation of the strong energy condition in the presence of quantum geometry potential. It shows that the appearance of quantum geometry potential strengthe...
متن کاملPrimordial density perturbation in effective loop quantum cosmology
It is widely believed that a quantum field fluctuation in an inflating background creates the primeval seed perturbation which through subsequent evolution leads to the observed large-scale structure of the universe. The standard inflationary scenario produces a scale-invariant power spectrum quite generically but it produces, unless fine tuned, too large an amplitude for the primordial density...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2013
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-013-1520-2