The Massless Limit of Massive Gauge Theories To the Strong Coupling and Beyond /

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 manua...

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Egile nagusia: Hell, Anamaria (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edizioa:1st ed. 2025.
Saila:Springer Theses, Recognizing Outstanding Ph.D. Research,
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-3-032-01090-2
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505 0 |a Introduction -- The perturbative aspects of massive gauge theories -- The Vainshtein mechanism -- The massless limit of massive Yang-Mills theory -- The massless limit and dual theories -- Conclusion. 
520 |a 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. 
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