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Excerpt from Dispersion Relations and the Abstract Approach to Field Theory
Furthermore it is assumed that it is possible to define a vacuum state: that is the energy operator should possess a smallest eigenvalue which we normalize to zero. The knowledge of commutation relations for field Operators is almost not necessary. Equation 1) is sufficient.
Now we want to examine the vacuum expectation values of quadratic field magnitudes. As the orthogonal system in Hilbert space we shall use in this case, the eigenvectors of the PM operators, which should form a complete set.
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Dispersion Relations and the Abstract Approach to Field Theory
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Paperback. Condition: New. Print on Demand. This book delves into the revolutionary "abstract approach" to field theory, a concept that emerged in elementary particle physics during the mid-20th century. It offers a fascinating exploration of a period when physicists grappled with the limitations of established theories in explaining the enigmatic realm of strong interactions. The author meticulously traces the evolution of this approach, presenting seminal works by Lehmann, Symanzik, Zimmermann, and Wightman. Readers are guided through the intricate mathematical framework of axiomatic field theory, exploring concepts such as causality, asymptotic conditions, and dispersion relations. The book elucidates how these principles were employed to analyze scattering amplitudes and delve into the fundamental properties of elementary particles. The historical context of this intellectual journey is vividly portrayed, highlighting the challenges and triumphs of physicists as they sought to unravel the mysteries of the quantum world. This book serves as both a valuable historical record and an insightful exploration of the profound questions that continue to drive research in particle physics. Ultimately, it underscores the power of abstract thinking in advancing our understanding of the universe at its most fundamental level. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780282479800_0
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