\chapter*{Acknowledgements}
First and foremost, my sincere gratitude goes to Prof. Dr. Zoltan Fodor, who gave me the opportunity to conduct my Bachelor's, Master's and PhD theses in his group. This allowed me to explore the fascinating field of lattice gauge theory and gain a wide range of enriching scientific and personal experiences.

I am deeply thankful to Prof. Dr. Kalman Szabo and Dr. Finn Stokes for their close supervision, insightful discussions and the highly productive collaboration throughout the past four years. Their support and expertise have been invaluable.

Many thanks to Prof. Dr. Karl-Heinz Kampert and Prof. Dr. Christian Hölbling for kindly agreeing to serve on my examination committee.

Gratitude is also due to all members of the BMW collaboration for the fruitful scientific exchange and excellent teamwork. Special thanks go to Prof. Dr. Laurent Lellouch, Dr. Balint Toth, Dr. Andrey Kotov, Dr. Gen Wang, Dr. Davide Giusti, Dr. Andreas Risch and Keith Kelley for many stimulating discussions and collaborations.

Working in the Theoretical Particle Physics group at Bergische Universität Wuppertal has been a great pleasure. I appreciate the friendly and inspiring atmosphere, both professionally and personally. In particular, I would like to thank Prof. Dr. Christian Hölbling, Prof. Dr. Szabolcs Borsanyi, PD Dr. Stephan Dürr, Dr. Ludovica Pirelli, Dr. Ruben Kara, Timo Eichhorn, Alexander Adam, Piyush Kumar, Marc-André Petri, Tolga Kiel, Gianluca Fuwa, Philip Rouenhoff, and Nuha Chreim for many enjoyable conversations and shared moments.

Thanks also to those who took the time to proofread various versions of this thesis and provided valuable linguistic and content-related feedback: Stefan Kuhlmann, Dr. Maximilian Caspar, Piyush Kumar and Timo Eichhorn.

Financial and non-material support from the ``Studienstiftung des deutschen Volkes‘‘ is gratefully acknowledged. I would also like to thank the Gauss Centre for Supercomputing (GCS) e.V., GENCI, and the EuroHPC Joint Undertaking for providing computing time on the GCS supercomputers SuperMUC-NG at the Leibniz Supercomputing Centre in Munich, HAWK at the High Performance Computing Center in Stuttgart, and JUWELS and JURECA at Forschungszentrum Jülich, as well as on the GENCI systems Joliot-Curie/Irène Rome at TGCC, Jean-Zay V100 at IDRIS, Adastra at CINES, and the Leonardo supercomputer hosted at CINECA.

Above all, I am deeply thankful to my family, especially my parents, and my friends for their continuous encouragement throughout this journey. Last of all, heartfelt thanks go to my wife Anita, who has always stood by my side and supported me in every possible way.