1998
DOI: 10.1103/physrevd.59.027301
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Quantum inflaton dynamics

Abstract: We show that the quantum dynamics of a real scalar field for a large class of potentials in the symmetric Gaussian state, where nonperturbative quantum contributions are taken into account, can be described equivalently by a two-dimensional nonlinear dynamical system with a definite angular momentum ͓U͑1͒ charge of a complex theory͔. A proposal is put forward that the symmetric Gaussian state with a nearly minimal uncertainty and a large quantum fluctuation, as an initial condition, naturally explains most of … Show more

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Cited by 15 publications
(18 citation statements)
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“…We introduce the coordinate vector m a = (∂/∂s) a whose direction agrees with n a at the point on the timelike surface where we evaluate the expansion rate. By straightforward computation [15], one may show that…”
Section: Jhep09(2003)069mentioning
confidence: 99%
See 1 more Smart Citation
“…We introduce the coordinate vector m a = (∂/∂s) a whose direction agrees with n a at the point on the timelike surface where we evaluate the expansion rate. By straightforward computation [15], one may show that…”
Section: Jhep09(2003)069mentioning
confidence: 99%
“…This implies that θ m is nonnegative rather generically for the geodesics of massive objects attracted toward the mass distribution. We shall give detailed examples of this elsewhere [15]. Now the proposal is simple.…”
Section: Jhep09(2003)069mentioning
confidence: 99%
“…For a convex potential V , where the curvature is positive, a generic Gaussian wave function may approximate the exact state near the potential minimum [8]:…”
Section: The Homogeneous Friedmann Equation Ismentioning
confidence: 99%
“…In semiclassical gravity approach a quantum real scalar field is equivalent to a complex scalar field with a constraint from the quantization rule [8,9,10]. The basic idea is as follows: the minimum uncertainty relation satisfied by the field φ and the momentum π φ [in units of c =h = 1],…”
mentioning
confidence: 99%
“…Another technical strong point of the LvN approach is that it can also be used for a time-dependent anharmonic oscillator. At the leading order the LvN approach is equipped with the time-dependent annihilation and creation operators, the vacuum state of which is already the time-dependent Gaussian state that minimizes the Dirac action [23,32]. The LvN approach thus provides one with a nonperturbative quantum description for the timedependent anharmonic oscillator, too.…”
Section: Introductionmentioning
confidence: 99%