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Showing 1 to 20 of 201 for “"Renormalization"”.
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Entanglement, topology, & renormalization
… in chapter 3 we switch gears and discuss renormalization of free bosonic field theory. The content of this chapter is drawn from the work of [4]. Motivated by work establishing duality between the singlet sector of O(N) vector models at large N and higher spin gauge theory on Anti de …
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Aspects of Non-Perturbative Renormalization
… some key issues regarding the non-perturbative renormalization of the periodic scalar field theories. As an example of the non-perturbative methods, we use the differential renormalization group approach, particularly the Wegner-Houghton and the Polchinski renormalization group equations, in …
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Renormalization of cavity field theories
… transforms, appropriate to a discussion of renormalization in a cavity. Using these, we renormalize the cavity propagators to one loop for scalar, Dirac, and gauge fields. We then introduce a new computational method to subtract out the divergences, based on dimensional regularization. Using …
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Spectral Properties of the Renormalization Group
The renormalization group (RG) approach is largely responsible for the considerable success which has been achieved in developing a quantitative theory of phase transitions. This work investigates various spectral properties of the RG map for Ising-type classical lattice systems. It consists of …
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Nonperturbative renormalization in classical φ4 theory
… in-depth study of two analytic nonperturbative renormalization group methods used to study nonrelativistic quartic interacting systems. The model studied is that of classical real scalar φ4 theory. A variety of techniques are used including a rescaling of a nonlinear complete basis, a limit of …
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Renormalization for insulating states of matter
… of insulating states of matter in terms of the renormalization procedure where the conventional renormalization group scheme is not simply applicable. The first subject is the spectral weight structure of hole-doped Mott insulators. As the mixing between two separate Hubbard bands is dynamically …
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Some applications of the renormalization group
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-13T15:30:47Z No. of bitstreams: 1 1983_ma.pdf: 2732223 bytes, checksum: 7c77724bb1fc90e33cb3c86453dc4aa0 (MD5)
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Renormalization and ∗-product of the Horseshoe maps
<p>The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible …
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Functional Renormalization Group Methods in Quantum Chromodynamics
We apply functional Renormalization Group methods to Quantum Chromodynamics (QCD). First we calculate the mass shift for the pion in a finite volume in the framework of the quark-meson model. In particular, we investigate the importance of quark effects. As in lattice gauge theory, we find that the …
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Renormalization group analysis of scalar field theories
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1996.
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Renormalization-group theory of correlated electron systems
The thesis applies position-space renormalization-group theory to a variety of correlated electron systems, determining finite-temperature phase diagrams and thermodynamic properties for electron densities both at and away from half-filling. We begin by assessing the effectiveness of the …
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A renormalization approach to diffusion-limited aggregation
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1997.
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Magnetic charges and phase space renormalization of gravity
… which we present in this thesis (phase space renormalization), we are able to renormalize the symplectic potential using counterterms which are local and covariant. The Hamiltonian charges corresponding to GBMS diffeomorphisms are non-integrable. We show that the integrable part of these …
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Renormalization analysis of continuum models on fractal domains
… those with lower and upper cut-offs) through renormalization analysis into continuum models, in which the fractal dimension D is also the order of fractional integrals employed to state global balance laws. In effect, the governing equations are cast in forms involving conventional …
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Renormalization group theory for systems far from equilibrium
… systems in the absence of noise, to which the renormalization group theory (RG) and the structural stability hypothesis are systematically applied.
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Renormalization and effective field theory using the energy scale
… counterterms based on the choice of a renormalization scheme.
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Investigation of renormalization effects in high temperature cuprate superconductors
… etc) manifest themselves by an additional renormalization in the electronic dispersion, they can be investigated by means of Angle Resolved Photoelectron Spectroscopy. In the work renormalization in two families of high Tc cuprates have been studied. Along the diagonal of the …
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Renormalization group methods for dynamics of spatially extended systems
The renormalization group (RG) provides a powerful tool and concept in the study of dynamics of spatially extended systems: different microscopic dynamics may be related, via coarse graining, to the same macroscopic dynamics. This thesis makes two contributions in this direction: first, we obtain …
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Application of renormalization-group techniques to random magnetic systems
"Renorma1ization-group methods have been applied in the study of quenched random magnetic systems in recent years. We begin with a brief review of second-order phase transitions in pure, homogeneous systems and also of the .. renorma1ization group framework. Then we provide an introduction to …
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