Variational treatment of quenched QED using the worldline technique
نویسندگان
چکیده
منابع مشابه
Variational treatment of quenched QED using the worldline technique
Perturbative Quantum Electrodynamics has been successfully tested to unparalleled precision for around half a century. In addition, and rather more recently, the theory’s behaviour in its strong coupling limit has attracted a growing amount of attention. The reason for this is not only that it serves as a simple prototype gauge theory for testing nonperturbative calculational techniques which o...
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Following Feynman’s successful treatment of the polaron problem we apply the same variational principle to quenched QED in the worldline formulation. New features arise from the description of fermions by Grassmann trajectories, the supersymmetry between bosonic and fermionic variables and the much more singular structure of a renormalizable gauge theory like QED in 3 + 1 dimensions. We take as...
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Simultaneously with inventing the modern relativistic formalism of quantum electrodynamics, Feynman presented also a first-quantized representation of QED in terms of worldline path integrals. Although this alternative formulation has been studied over the years by many authors, only during the last fifteen years it has acquired some popularity as a computational tool. I will shortly review her...
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A survey is given of applications of the “string-inspired” worldline formalism to the computation of amplitudes and effective actions in QED. INTRODUCTION: QED IN FIRST QUANTIZATION The “worldline” or “string-inspired” formalism is an alternative to the usual second-quantized formalism in quantum field theory based on relativistic particle path integrals. Although it was invented by Feynman [1,...
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The variational equation for the mean square displacement of the electron in the polaron worldline approach to quenched QED can be cast into a form which closely resembles the classical AbrahamLorentz equation but without the conceptual and practical diseases of the latter. The connection with delay equations describing field retardation effects is also established. As applications we solve thi...
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ژورنال
عنوان ژورنال: Nuclear Physics A
سال: 1998
ISSN: 0375-9474
DOI: 10.1016/s0375-9474(98)00081-5