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Titlebook: Spectral Methods in Quantum Field Theory; Herbert Weigel,Markus Quandt,Noah Graham Book 2009 Springer-Verlag Berlin Heidelberg 2009 calcul

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发表于 2025-3-21 19:57:40 | 显示全部楼层 |阅读模式
书目名称Spectral Methods in Quantum Field Theory
编辑Herbert Weigel,Markus Quandt,Noah Graham
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Physics
图书封面Titlebook: Spectral Methods in Quantum Field Theory;  Herbert Weigel,Markus Quandt,Noah Graham Book 2009 Springer-Verlag Berlin Heidelberg 2009 calcul
描述In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliable solutions to a - riety of problems in quantum ?eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum ?eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e?ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases.
出版日期Book 2009
关键词calculus; casimir forces; mathematical physics; non-perturbative quantum fluid theory; quantum mechanics
版次1
doihttps://doi.org/10.1007/978-3-642-00139-0
isbn_softcover978-3-642-10116-8
isbn_ebook978-3-642-00139-0Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2009
The information of publication is updating

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发表于 2025-3-21 22:40:10 | 显示全部楼层
Noah Graham,Markus Quandt,Herbert Weigelunder the direction of the Air Force Materials Laboratory, Air Force Systems Cornrnand, Wright-Patterson Air Force Base, Ohio, with Mr. B. Emrich, Project Engineer. The Electronic Properties Information Center (EPIC) is a designated inforrnation Analysis Center of the Departrnent of Defense, authori
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Review of Scattering Theory,ional techniques. In this chapter, we develop these tools and derive the key results we will need. We focus particularly on the use of the analytic structure of the scattering data to efficiently compute the Green and Jost functions.
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Applications in One Space Dimension,dels in . = 1 + 1 dimensions. Systems with one space dimension provide a particularly simple testing ground for our approach. We will also see that they contain subtleties that our approach is well-suited to address. In later chapters we will thoroughly investigate models in three spatial dimensions.
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String-Type Configurations,of this chapter we will be concerned with the coupling of electromagnetic flux tubes to fluctuating fermions. We then extend this analysis to non-abelian gauge fields to study electroweak strings in the standard model of particle physics.
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https://doi.org/10.1007/978-3-642-00139-0calculus; casimir forces; mathematical physics; non-perturbative quantum fluid theory; quantum mechanics
发表于 2025-3-23 06:26:12 | 显示全部楼层
Quantum Corrections to ,-Balls,So far we have focused on static field configurations. In this chapter we show how these methods can be extended to systems with simple time dependence.
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