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Hamiltonian Dyson-Schwinger and FRG Flow Equations of Yang-Mills Theory in Coulomb Gauge
Hamiltonian Dyson-Schwinger FRG Flow Equations Yang-Mills Theory
2010/12/23
A new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge is presented and solved for the static gluon and ghost propagators under the assumption of ghost domi...
Black-Hole Solutions to Einstein's Equations in the Presence of Matter and Modifications of Gravitation in Extra Dimensions
Black-Hole Solutions Einstein's Equations Modifications
2010/12/24
In this thesis, we wish to examine the black-hole solutions of modified gravity theories inspired by String Theory or Cosmology. Namely, these modifications will take the guise of additional gauge and...
Power-Law Entropic Corrections to Newton's Law and Friedmann Equations From Entropic Force
Power-Law Entropic Corrections Newton's Law Friedmann Equations
2010/12/22
A possible source of black hole entropy could be the entanglement of quantum fields in and out the horizon. The entanglement entropy of the ground state obeys the area law. However, a correction term...
Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time
Self-Dual Yang-Mills Equations Space-time
2010/12/22
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symme...
KdV solitons in Einstein's vacuum field equations
KdV solitons Kortweg-de Vries Einstein's vacuum field equations
2010/4/2
We present a metric for which Einstein's field equations in vacuum generate the Kortweg-de Vries (KdV) equation and thus its $N$-soliton solutions solve the vacuum equations. The metric of the one sol...
Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole
Boundary value problems black hole axisymmetric Einstein equations
2010/4/2
We solve a class of boundary value problems for the stationary axisymmetric Einstein equations corresponding to a disk of dust rotating uniformly around a central black hole. The solutions are given e...
On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario
Einstein equations cosmological scenario
2010/3/17
In this paper we shall discuss the backreaction of a massive quantum scalar field on the curvature, the latter treated as a classical field. Furthermore, we shall deal with this problem in the realm o...
A constructive approach to the soliton solutions of integrable quadrilateral lattice equations
soliton solutions quadrilateral lattice equations
2010/4/7
Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Backlund transformation, and ...
Multiparticle equations for scalar particles are derived in the framework of the Lagrangian formalism of field theory as a consequence of the Dyson-Schwinger equations for the generating functional of...