Centro de Excelencia Severo Ochoa

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Tensor Renormalization Group in Bosonic Field Theory

Thesis-dissertation

Specialist level

Speaker:

Manuel Campos Yuste

Institution:

IFT

Location&Place:

IFT Seminar Room/Red Room

Abstract:

Tensor Network techniques are one of the most successful tools in the study of many-body physics. In this thesis I present an adaptation of one of the most important real-space Renormalization Group algorithms, the Tensor Renormalization Group, which works with continuous variables on a lattice, thus preserving the interpretation as a field theory at every step of the process. We will apply it to a scalar boson theory in discretized 2D space-time, and also explore some of the integrability properties of the free model.