منابع مشابه
Classical Field Theory
a) Energy-momentum Based on Noether’s theorem, construct the energy-momentum tensor for classical electromagnetism from the above Lagrangian. Note that the usual procedure does not result in a symmetric tensor. To remedy that, we can add to T μν a term of the form ∂λK λμν , where K is antisymmetric in its first two indices. Such an object is automatically divergenceless, so T̂ μν = T μν + ∂λK λμ...
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Euclidean field theory on four dimensional sphere is suggested for the study of high energy multiparticle production. The singular classical field configurations are found in scalar φ and SU(2) gauge theories and the cross section of 2→ n is calculated. It is shown, that the cross section has a maximum at the energy compared to the sphaleron mass. E-mail address: [email protected]
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I discuss the possibility of using classical field theory to approximate hot, realtime quantum field theory. I calculate, in a scalar theory, the classical two point and four point function in perturbation theory. The counterterms needed to make the classical correlation functions finite are dictated by the superrenormalizability of the static theory. The classical expressions approximate the q...
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We examine the equilibrium properties of hot, dilute, non-relativistic plasmas. The partition function and density correlation functions of a classical plasma with several species are expressed in terms of a functional integral over electrostatic potential distributions. This is a convenient formulation for performing a well-defined perturbative expansion. The leading order, field-theoretic tre...
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This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais’ Principle of Symmetric Criticality. After providing a little history, I describe necessary and sufficient conditions on a group action such that reduction of a group-invariant Lagrangian by the symmetry group yields ...
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ژورنال
عنوان ژورنال: The European Physical Journal H
سال: 2019
ISSN: 2102-6459,2102-6467
DOI: 10.1140/epjh/e2019-100038-9