We critically examine the recent claim that standard model (SM) Higgs boson $\mathcal{H}$ could drive inflation in agreement with observations if $|\mathcal{H}{|}^{2}$ has a strong coupling $\ensuremath{\xi}\ensuremath{\sim}{10}^{4}$ to Ricci curvature scalar. first show effective-theory approach upon which is based ceases be valid beyond cutoff scale $\ensuremath{\Lambda}={m}_{p}/\ensuremath{\xi}$, where ${m}_{p}$ reduced Planck mass. then argue knowing potential profile for field values...

A bstract We study operator complexity on various time scales with emphasis those much larger than the scrambling period. use, for systems a large but finite number of degrees freedom, notion K-complexity employed in [1] infinite systems. present evidence that ETH operators has indeed character associated bulk evolution extremal volumes and actions. Namely, after period exponential growth during increases only linearly exponentially long times terms entropy, it eventually saturates at...

We study the evolution of holographic complexity in various AdS/CFT models containing cosmological crunch singularities. find that a notion measured by extremal bulk volumes tends to decrease as singularity is approached CFT time, suggesting corresponding quantum states have simpler entanglement structure at singularity.

We discuss a simple unitarization of Higgs inflation that is genuinely weakly coupled up to Planckian energies. A large non-minimal coupling between the and Ricci curvature induced dynamically at intermediate energies, as ratio mass scales. Despite not being dominated by field, inflationary dynamics simulates ‘Higgs inflation’ one would get blind extrapolation low-energy effective Lagrangian, least qualitatively. Hence, arises an approximate ‘mirage’ picture true dynamics. further speculate...

We discuss recent approaches to the computation of black hole entropies through semiclassical estimates appropriate state overlaps, saturated by Euclidean wormhole configurations. notice that relevant saddle-point manifolds may exhibit instabilities, thereby compromising interpretation path integral as a tool for computing positive-definite inner products. show proper treatment using microcanonical formulation effectively addresses puzzles posed these instabilities.

Fast scramblers process information in characteristic times scaling logarithmically with the entropy, a behavior which has been conjectured for black hole horizons. In this paper we use AdS/CFT context to argue that causality bounds on flow only depend properties of single thermal cell, and admit geometrical interpretation terms optical depth, i.e. thickness Rindler region so-called metric. The spatial sections metric are well approximated by constant-curvature hyperboloids. We fact propose...

We show that the classic results of Schwinger on exact propagation particles in background constant field-strengths and plane waves can be readily extended to case non-commutative QED. It is shown non-perturbative effects backgrounds are same as their commutative counterparts, provided on-shell gauge invariant dynamics referred a non-perturbatively related space-time frame. For wave background, we find evidence effective nature particles, producing retarded advanced scattering. Besides known...

AdS black holes with hyperbolic horizons provide strong-coupling descriptions of thermal CFT states on hyperboloids. The low-temperature limit these systems is peculiar. In this note we show that, in addition to a large ground state degeneracy, also have an anomalously holographic complexity, scaling logarithmically the temperature. We speculate whether fact generalizes other whose extreme infrared regime formally controlled by Conformal Quantum Mechanics, such as various instances...

We establish a version of the Momentum/Complexity (PC) duality between rate operator complexity growth and radial component bulk momentum for test system falling into black hole. In systems finite entropy, our map remains valid arbitrarily late times after scrambling. The asymptotic regime linear is associated to frozen in interior hole, measured with respect time foliation by extremal codimension-one surfaces which saturate without reaching singularity. detailed analysis this paper uses...