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000752759 020__ $$a9783319226200$$q(electronic book)
000752759 020__ $$a3319226207$$q(electronic book)
000752759 020__ $$z9783319226194 
000752759 020__ $$z3319226193
000752759 0243_ $$a9783319226194
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000752759 08204 $$a539.7/2$$223
000752759 1001_ $$aJakovác, Antal,$$eauthor.
000752759 24510 $$aResummation and renormalization in effective theories of particle physics$$h[electronic resource] /$$cAntal Jakovac, Andras Patkos.
000752759 264_1 $$aCham :$$bSpringer,$$c[2015].
000752759 264_4 $$c©2016
000752759 300__ $$a1 online resource.
000752759 336__ $$atext$$btxt$$2rdacontent
000752759 337__ $$acomputer$$bc$$2rdamedia
000752759 338__ $$aonline resource$$bcr$$2rdacarrier
000752759 4901_ $$aLecture notes in physics,$$x0075-8450 ;$$vvolume 912
000752759 504__ $$aIncludes bibliographical references.
000752759 5050_ $$aEffective Theories From Nuclear to Particle Physics -- Finite Temperature Field Theories: Review -- Divergences in the Perturbation Theory -- Optimized Perturbation Theory -- The Large-N Expansion -- Dimensional Reduction and Infrared Improved Treatment of Finite Temperature Transitions -- Thermodynamics of Strong Matter -- Finite Temperature Restoration of the Brout-Englert-Higgs Effect -- The Spectral Function.- Computation of the Basic Diagrams -- Integrals Relevant for Dimensional Reduction.
000752759 506__ $$aAccess limited to authorized users.
000752759 520__ $$aEffective 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.
000752759 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 22, 2015).
000752759 650_0 $$aParticles (Nuclear physics)
000752759 650_0 $$aRenormalization (Physics)
000752759 650_0 $$aPhysics.
000752759 650_0 $$aMathematical physics.
000752759 650_0 $$aQuantum field theory.
000752759 650_0 $$aString models.
000752759 7001_ $$aPatkós, A.,$$eauthor.
000752759 7760_ $$w(GyWOH)har155023669
000752759 77608 $$iPrint version:$$z9783319226194$$z3319226193$$w(OCoLC)930079393
000752759 830_0 $$aLecture notes in physics ;$$vvolume 912.
000752759 852__ $$bebk
000752759 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-22620-0$$zOnline Access$$91397441.1
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