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Resummation and renormalization in effective theories of particle physics[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	539.72
書名/作者:	Resummation and renormalization in effective theories of particle physics/ by Antal Jakovac, Andras Patkos.
作者:	Jakovac, Antal.
其他作者:	Patkos, Andras.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xi, 223 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Particles (Nuclear physics)
標題:	Renormalization (Physics)
標題:	Physics.
標題:	Mathematical physics.
標題:	Quantum field theory.
標題:	String models.
標題:	Elementary Particles, Quantum Field Theory.
標題:	Quantum Field Theories, String Theory.
標題:	Mathematical Applications in the Physical Sciences.
標題:	Mathematical Physics.
ISBN:	9783319226200
ISBN:	9783319226194
內容註:	Effective Theories From Nuclear to Particle Physics -- Finite Temperature Field Theories: Review -- Divergences in the Perturbation Theory -- Optimized Perturbation Theory -- The Large-N Expansion -- Dimensional Reduction and Infrared Improved Treatment of Finite Temperature Transitions -- Thermodynamics of Strong Matter -- Finite Temperature Restoration of the Brout-Englert-Higgs Effect -- The Spectral Function -- Computation of the Basic Diagrams -- Integrals Relevant for Dimensional Reduction.
摘要、提要註:	Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale 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 high-precision 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 BEH-mechanism 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 n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N 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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-22620-0

Resummation and renormalization in effective theories of particle physics[electronic resource] /
Jakovac, Antal.

Resummation and renormalization in effective theories of particle physics[electronic resource] /by Antal Jakovac, Andras Patkos. - Cham :Springer International Publishing :2016. - xi, 223 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9120075-8450 ;. - Lecture notes in physics ;v.830..

Effective Theories From Nuclear to Particle Physics -- Finite Temperature Field Theories: Review -- Divergences in the Perturbation Theory -- Optimized Perturbation Theory -- The Large-N Expansion -- Dimensional Reduction and Infrared Improved Treatment of Finite Temperature Transitions -- Thermodynamics of Strong Matter -- Finite Temperature Restoration of the Brout-Englert-Higgs Effect -- The Spectral Function -- Computation of the Basic Diagrams -- Integrals Relevant for Dimensional Reduction.

Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale 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 high-precision 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 BEH-mechanism 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 n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N 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.

ISBN: 9783319226200

Standard No.: 10.1007/978-3-319-22620-0doiSubjects--Topical Terms:

465080
Particles (Nuclear physics)

LC Class. No.: QC793.2

Dewey Class. No.: 539.72

Resummation and renormalization in effective theories of particle physics[electronic resource] /
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