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This thesis explores a fundamental question in field theory: If we modify a theory by introducing a small parameter, can we recover the original theory by setting that parameter back to zero? While seemingly simple, this question presents a major challenge in gauge theories where mass is added manually. In fact, some have even argued that such theories should be completely discarded as viable descriptions of nature.
Focusing on massive gauge theories, particularly those involving vector fields, this work offers a fresh perspective that diverges from conventional field theory textbooks. Beginning with the basic field theory, it introduces key concepts in a clear and accessible manner, making it suitable even for advanced undergraduate students. By integrating ideas from cosmological perturbation theory and massive gravity, the book provides new insights into the behavior of field theories—especially in extreme limits where standard particle physics tools fail.
Anamaria Hell is a Project Researcher at the Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo. She earned her Ph.D. with the highest honors (summa cum laude) from Ludwig-Maximilians-Universität München, Germany, under the mentorship of Prof. Viatcheslav Mukhanov. Her doctoral research on the massless limit of massive gauge theories—particularly massive Yang-Mills theory—revealed novel insights into high-energy behavior and its connections to massive gravity. This work earned her the prestigious ASC PhD Prize in 2022.
Dr. Hell’s research interests also extend to modified gravity theories and cosmological models. She has delivered numerous invited seminars and conference talks worldwide and was awarded the Julian S. Schwinger Diploma at the International School of Subnuclear Physics (58th Course: Gravity and Matter in the Subnuclear World, Erice, Sicily) for Best New Talent. Most recently, she was a plenary speaker at COSMO’24, the leading cosmology conference. Dr. Hell’s contributions highlight her expertise and innovative thinking in field theory and cosmology.
Her main achievements are available at https://anamariahell.com.
