Pseudocomplexity of purification for free scalar field theories

scalar-tensor theories for traceless matter field

ω(φ) → ∞ limit of scalar tensor theories are studied for traceless matter source. It is shown that the limit ω(φ) → ∞ does not reduce a scalar tensor theory to GR. An exact radiation solution of scalar tensor cosmology under modified Nordtvedt conditions is obtained for flat Friedmann universe. PACS numbers: 04.50. +h

Infrared Properties of Scalar Field Theories

Free field representation of Toda field theories

We study the following problem: can a classical sln Toda field theory be represented by means of free bosonic oscillators through a Drinfeld–Sokolov construction? We answer affirmatively in the case of a cylindrical space–time and for real hyperbolic solutions of the Toda field equations. We establish in fact a one–to–one correspondence between such solutions and the space of free left and righ...

Rényi Entropies for Free Field Theories

Rényi entropies Sq are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with q ≥ 0. For (d + 1)dimensional conformal field theories, the Rényi entropies across S may be extracted from the thermal partition functions of these theories on either (d+1)-dimensional de Sitter space or R×H, where H is the d-dimensional hyperb...

A Weak Gravity Conjecture for Scalar Field Theories

Scalars, such as Higgs and inflaton, play significant roles in both particle physics and cosmology. Recently, Vafa et.al. conjectured an upper bound on the strength of gravity relative to gauge forces in quantum gravity [4]. Their conjecture enriches the criteria of consistent effective field theory proposed in [2, 3]. These criteria help to constrain the string landscape [1] in the vast vacua ...