scholarly journals The magnetic Scott correction for relativistic matter at criticality

2020 ◽  
Vol 61 (6) ◽  
pp. 062102
Author(s):  
Gonzalo A. Bley ◽  
Søren Fournais
Keyword(s):  
Relativistic Matter ◽  
Scott Correction

scholarly journals Normal ground state of dense relativistic matter in a magnetic field

2011 ◽  
Vol 83 (8) ◽  
Author(s):  
E. V. Gorbar ◽  
V. A. Miransky ◽  
I. A. Shovkovy
Keyword(s):  
Magnetic Field ◽  
Ground State ◽  
Relativistic Matter

scholarly journals Surprises in relativistic matter in a magnetic field

2012 ◽  
Vol 67 (2) ◽  
pp. 547-551 ◽  
Author(s):  
E.V. Gorbar ◽  
V.A. Miransky ◽  
I.A. Shovkovy
Keyword(s):  
Magnetic Field ◽  
Relativistic Matter

scholarly journals Relativistic Scott correction in self-generated magnetic fields

2012 ◽  
Vol 53 (9) ◽  
pp. 095202 ◽  
Author(s):  
László Erdős ◽  
Søren Fournais ◽  
Jan Philip Solovej
Keyword(s):  
Magnetic Fields ◽  
Scott Correction

scholarly journals Non-relativistic matter and dark energy in a quantum conformal model

2016 ◽  
Vol 75 ◽  
pp. 64-71 ◽  
Author(s):  
Gopal Kashyap ◽  
Pankaj Jain ◽  
Subhadip Mitra
Keyword(s):  
Dark Energy ◽  
Conformal Model ◽  
Relativistic Matter

scholarly journals ON THE QUASI-ISOTROPIC INFLATIONARY SOLUTION

2003 ◽  
Vol 12 (10) ◽  
pp. 1845-1857 ◽  
Author(s):  
GIOVANNI IMPONENTE ◽  
GIOVANNI MONTANI
Keyword(s):  
Scalar Field ◽  
Cosmological Constant ◽  
Small Function ◽  
Inflationary Universe ◽  
Arbitrary Form ◽  
Metric Tensor ◽  
Dominant Term ◽  
First Order ◽  
Effective Cosmological Constant ◽  
Relativistic Matter

In this paper we find a solution for a quasi-isotropic inflationary Universe which allows to introduce in the problem a certain degree of inhomogeneity. We consider a model which generalizes the (flat) FLRW one by introducing a first order inhomogeneous term, whose dynamics is induced by an effective cosmological constant. The 3-metric tensor is constituted by a dominant term, corresponding to an isotropic-like component, while the amplitude of the first order one is controlled by a "small" function η(t). In a Universe filled with ultra relativistic matter and a real self-interacting scalar field, we discuss the resulting dynamics, up to first order in η, when the scalar field performs a slow roll on a plateau of a symmetry breaking configuration and induces an effective cosmological constant. We show how the spatial distribution of the ultra relativistic matter and of the scalar field admits an arbitrary form but nevertheless, due to the required inflationary e-folding, it cannot play a serious dynamical role in tracing the process of structures formation (via the Harrison–Zeldovic spectrum). As a consequence, this paper reinforces the idea that the inflationary scenario is incompatible with a classical origin of the large scale structures.

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