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Showing 1 to 20 of 108 for “"Renormalization Group"”.
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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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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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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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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 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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Surface Phases and Surface Phase Transitions: A Renormalization-Group Calculation
Made available in DSpace on 2015-05-13T15:22:19Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 8009190.PDF: 3462255 bytes, checksum: af81749c78a6189e08489c312ae6ffcb (MD5) Previous issue date: 1979
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Surface phases and surface phase transitions: A renormalization-group calculation
… and three dimensions. We show how position-space renormalization group methods, previously used in homogeneous bulk calculations, can be generalized to give surface properties. In two dimensions a 4x4 cell-cluster approximation gives critical and thermodynamic properties in quantitative agreement …
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Density Matrix Renormalization Group Studies of Strongly Correlated Systems in Low Dimensions
The density matrix renormalization group method (DMRG) is a powerful numerical method for strongly correlated systems, which often cannot be solved analytically either by the mean field approach or through perturbation. The DMRG is originally proposed as an iterative search of the ground state in …
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Phase-Fields and the Renormalization Group: A Continuum Approach to Multiscale Modeling of Materials
A chapter of this thesis also examines the effect of confinement on dendritic growth, during equiaxed solidification in a pure material and the directional solidification of a dilute binary alloy, using phase-field models.
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Renormalization-group studies of disordered magnetic systems, strongly correlated electonic systems, and polymeric systems
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 1999.
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Phase Transitions and Critical Phenomena: Universality and Global Multicritical Phase Diagrams From Position-Space Renormalization-Group Studies
Made available in DSpace on 2015-05-13T15:22:06Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 7726630.PDF: 3936650 bytes, checksum: 5bf6e4cb8e0ef27310dda10920042f4f (MD5) Previous issue date: 1977
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Phase transitions and critical phenomena: Universality and global multicritical phase diagrams from position-space renormalization-group studies
The position-space renormalization-group (PSRG) approach has given impressive results in studies of phase transitions and critical phenomena. Most work has focussed on the local critical properties of rather simple models. After presenting background on phase transitions and reviewing the PSRG …
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Studies in: entanglement entropy of two dimensional quasi-topological quantum field theory and geometry of the exact renormalization group and higher spin holography
… are in agreement. Part II: Geometry of the Exact Renormalization Group and Higher Spin Holography We consider the Wilson-Polchinski exact renormalization group (RG) applied to the generating functional of single-trace operators at a free-fixed point in d = 2 + 1 dimensions. By exploiting the rich …
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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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Studies in random Ising spin systems
… random-field model. The phenomenological renormalization group and the transfer-matrix method are generalized to random systems and applied to the random-bond Ising model, also called the Edwards-Anderson spin-glass model. Results show that the two-dimensional Edwards-Anderson model has a …
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Asymptotically Safe Gravity: from spacetime foliation to cosmology
… Fixed Point (NGFP) of the underlying renormalization group flow. The high-energy modifications of gravity resulting from the scaling of couplings around the NGFP may have profound implications in astrophysics and cosmology. The Functional Renormalization Group (FRG) constitutes an …
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