[PDF] Top 20 Quantum inequality for a scalar field with a background potential

... where the integral is taken on a null geodesic γ, affinely parameterized by λ with tangent vector V . Reference [4] proved that ANEC is sufficient to rule out many exotic spacetimes. The proof made use of quantum ... See full document

... a quantum field can be ...an inequality for a minimally-coupled scalar field on a geodesic in a spacetime with small curvature, working to first order in the Ricci tensor and its ... See full document

... The outline of this report is as follows. In Sec. 2 we briefly review some key features of QFT and RKT on Minkowski space-time, for both scalar and Dirac fermion particles. Our study of adS space-time begins in ... See full document

... Higgs field slides down to a minimum of some ...this potential has one ...Higgs field can quantum tunnel from its current vacuum state into this second true vacuum, what will lead to an end of ... See full document

... a quantum bounce, followed by an accelerated phase of expansion of quantum gravity ...full quantum gravity framework: we computed the power spectrum of quantum fluctuations of the local volume ... See full document

... the potential is steep as from the early dark energy constraints we get α ≥ ...the potential the scalar field energy density follows the background during late time (scaling behavior) ... See full document

... By using a Digitised Thesis, I accept that Trinity College Dublin bears no legal responsibility for the accuracy, legality or comprehensiveness of materials contained within the thesis, and that Trinity College Dublin ... See full document

... these quantum fluctuations the scalar field is constantly displaced during ...the field, as it rolls down the scalar ...the quantum displacement takes over and determines the ... See full document

... the quantum gravity effect on the tunneled spin-1 (vector) and spin-0 (scalar) particles from ( 2 + 1 ) -dimensional BHs in the background of quintessential and magnetic ... See full document

... conformal field theory techniques, and has many of the properties argued for independently in ...the quantum recoil of the D brane induced by the impact of the first scalar par- ticle, and compute ... See full document

... in quantum field theory whose hardness one might wish to ...particular field theory and the set of allowed inputs and ...a quantum circuit whose output is to be “simulated” by the dynamics of ... See full document

... light scalar fields to become excited by the expansion of space, which happens quite generically in most cosmolog- ical spacetimes ...curvaton field in inflation). We consider the presence of an auxiliary ... See full document

... The commutator in the second term guarantees that the total covariant derivative of the Clifford product of two Clifford-valued tensor quantities fulfills the Leibniz rule. The Christoffel symbols appear in the covariant ... See full document

... scenario, quantum fluctuations of a scalar field are converted to classical perturbations around the time of horizon exit, after which they become ... See full document

... a scalar field is perhaps the most popular. The scalar field, denoted by ϕ , should have no coupling to normal matter to be consistent with stringent constraints from experiments (Will 2006, ... See full document

... 1) quantum correla- tions—mutual dependence of characteristics of wave function of so-called en- tangled quantum entities while there is space separation; 2) a change in charac- teristics of wave function ... See full document

... 6. It is important to note that, vacuum as a real zero (really empty space) has no meaning at all. An actual zero, should mean that we do not have solutions for the H-J equation. Even in flat space, there is geodesic ... See full document

... • Working Group instigated – Data rescue task team. – Provenance and version control task team • Development version posted[r] ... See full document

... Some examples are ACRE Chile, which aims to digitize nineteenth- and twentieth-century weather observations in Chilean archives (part of the ECMWF-led European Commission [EC] Sev- en[r] ... See full document

... There are two problems in modern phisics, which can not be explained by the generally recog- nized gravitational theory (General Relativity (GR)). The first of them is Dark Matter (DM), it’s invisible matter, which fills ... See full document