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Field Theoretic Aspects of Condensed Matter Physics: An Overview
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In this chapter I discuss the impact of concepts of Quantum Field Theory in modern Condensed Physics. Although the interplay between these two areas is certainly not new, the impact and mutual cross-fertilization has certainly grown enormously with time, and Quantum Field Theory has become a central conceptual tool in Condensed Matter Physics. In this chapter I cover how these ideas and tools have influenced our understanding of phase transitions, both classical and quantum, as well as topological phases of matter, and dualities.
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A Lower-Dimensional Remnant of Flux Attachment
Reducing a Chern-Simons gauge theory to one dimension leaves a statistical gauge field proportional to particle density, reproducing one-dimensional statistical transmutation.
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