Quantum and classical methods for lattice gauge theories in higher dimensions
Translated title:
Quanten- und klassische Methoden für Gittereichtheorien in höheren Dimensionen
Author:
Bender, Julian
Year:
2023
Document type:
Dissertation
Faculty/School:
TUM School of Natural Sciences
Advisor:
Cirac, Ignacio (Prof. Dr.)
Referee:
Cirac, Ignacio (Prof. Dr.); Knolle, Johannes (Prof. Dr.)
Language:
en
Subject group:
PHY Physik
TUM classification:
PHY 370
Abstract:
Quantum field theories are at the core of our understanding of modern physics as they describe three of the four fundamental forces in nature. Strongly interacting regimes are described by lattice gauge theories, a discretization of quantum field theories on a lattice. Certain phenomena, like real-time dynamics and finite density scenarios, remain poorly
understood as conventional simulation methods fail. While techniques have been found to mitigate that problem in one dimension, in this thesis, we develop new techniques for two and more dimensions.
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Quantum field theories are at the core of our understanding of modern physics as they describe three of the four fundamental forces in nature. Strongly interacting regimes are described by lattice gauge theories, a discretization of quantum field theories on a lattice. Certain phenomena, like real-time dynamics and finite density scenarios, remain poorly
understood as conventional simulation methods fail. While techniques have been found to mitigate that problem in one dimension, in this thesis...
»
Translated abstract:
Quantenfeldtheorien beschreiben drei der vier Grundkräfte der Natur und bilden den Kern unseres Verständnisses der modernen Physik. Gittereichtheorien diskretisieren Quantenfeldtheorien auf einem Gitter, um stark wechselwirkende Zustände zu beschreiben. Allerdings sind bestimmte Phänomene wie Echtzeitdynamik und endliche Dichte in der Forschung noch unzureichend verstanden. In dieser Arbeit werden neue Techniken für die Simulation von solchen Phänomenen in zwei und mehr Dimensionen entwickelt.