Resummation and Renormalization in Effective Theories of Particle Physics
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The work Resummation and Renormalization in Effective Theories of Particle Physics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Resummation and Renormalization in Effective Theories of Particle Physics
Resource Information
The work Resummation and Renormalization in Effective Theories of Particle Physics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Resummation and Renormalization in Effective Theories of Particle Physics
 Statement of responsibility
 by Antal Jakovàc, Andràs Patkòs
 Subject

 Quantum Field Theories, String Theory
 Mathematical physics
 Elementary Particles, Quantum Field Theory
 Physics
 Mathematical physics
 Quantum field theory
 Particles (Nuclear physics)
 Quantum field theory
 Quantum field theory
 String models
 Electronic resources
 String models
 Mathematical Physics
 Mathematical Physics
 Physics
 Physics
 Mathematical Applications in the Physical Sciences
 Mathematical physics
 Particles (Nuclear physics)
 Mathematical Physics
 Particles (Nuclear physics)
 String models
 Language
 eng
 Summary
 Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with largescale numerical simulations of Standard Model physics. These contexts include but are not limited to providing indications for phase transitions and the nature of elementary excitations of strong and electroweak matter. A precondition for obtaining highprecision predictions is the application of some advanced functional techniques to the effective models, where the sensitivity of the results to the accurate choice of the input parameters is under control and the insensitivity to the actual choice of ultraviolet regulators is ensured. The credibility of such attempts ultimately requires a clean renormalization procedure and an error estimation due to a necessary truncation in the resummation procedure. In this concise primer we discuss systematically and in sufficient technical depth the features of a number of approximate methods, as applied to various effective models of chiral symmetry breaking in strong interactions and the BEHmechanism of symmetry breaking in the electroweak theory. After introducing the basics of the functional integral formulation of quantum field theories and the derivation of different variants of the equations which determine the npoint functions, the text elaborates on the formulation of the optimized perturbation theory and the largeN expansion, as applied to the solution of these underlying equations in vacuum. The optimisation aspects of the 2PI approximation is discussed. Each of them is presented as a specific reorganisation of the weak coupling perturbation theory. The dimensional reduction of high temperature field theories is discussed from the same viewpoint. The renormalization program is described for each approach in detail and particular attention is paid to the appropriate interpretation of the notion of renormalization in the presence of the Landau singularity. Finally, results which emerge from the application of these techniques to the thermodynamics of strong and electroweak interactions are reviewed in detail
 Image bit depth
 0
 LC call number

 QC793793.5
 QC174.45174.52
 Literary form
 non fiction
 Series statement
 Lecture Notes in Physics,
 Series volume
 912
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