Resummation And Renormalization In Effective Theories Of Particle Physics
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Resummation And Renormalization In Effective Theories Of Particle Physics
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Author : Antal Jakovác
language : en
Publisher: Springer
Release Date : 2015-11-02
Resummation And Renormalization In Effective Theories Of Particle Physics written by Antal Jakovác and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Science categories.
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.
Introduction To Effective Field Theory
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Author : C. P. Burgess
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-10
Introduction To Effective Field Theory written by C. P. Burgess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Science categories.
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Emergence Of Temperature In Examples And Related Nuisances In Field Theory
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Author : Tamás Sándor Biró
language : en
Publisher: Springer
Release Date : 2019-02-07
Emergence Of Temperature In Examples And Related Nuisances In Field Theory written by Tamás Sándor Biró and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Science categories.
Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statistical properties, e.g., when an apparent temperature is proportional to a constant acceleration in a homogeneous gravitational field. Most modern textbooks on thermal field theory are mainly concerned with how the field theory formalism should be used if a finite temperature is given. In contrast, this short primer explores how the phenomenon of temperature emerges physically for elementary fields - inquiring about the underlying kinetic field theory and the way energy fluctuations and other noise should be handled - and it investigates whether and how this harmonizes with traditional field theory concepts like spectral evolution, the Keldysh formalism, and phase transitions.
Introduction To Soft Collinear Effective Theory
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Author : Thomas Becher
language : en
Publisher: Springer
Release Date : 2015-03-04
Introduction To Soft Collinear Effective Theory written by Thomas Becher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-04 with Science categories.
Among resummation techniques for perturbative QCD in the context of collider and flavor physics, soft-collinear effective theory (SCET) has emerged as both a powerful and versatile tool, having been applied to a large variety of processes, from B-meson decays to jet production at the LHC. This book provides a concise, pedagogical introduction to this technique. It discusses the expansion of Feynman diagrams around the high-energy limit, followed by the explicit construction of the effective Lagrangian - first for a scalar theory, then for QCD. The underlying concepts are illustrated with the quark vector form factor at large momentum transfer, and the formalism is applied to compute soft-gluon resummation and to perform transverse-momentum resummation for the Drell-Yan process utilizing renormalization group evolution in SCET. Finally, the infrared structure of n-point gauge-theory amplitudes is analyzed by relating them to effective-theory operators. This text is suitable for graduate students and non-specialist researchers alike as it requires only basic knowledge of perturbative QCD.
Coarse Graining In Quantum Gravity Bridging The Gap Between Microscopic Models And Spacetime Physics
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Author : Astrid Eichhorn
language : en
Publisher: Frontiers Media SA
Release Date : 2021-07-15
Coarse Graining In Quantum Gravity Bridging The Gap Between Microscopic Models And Spacetime Physics written by Astrid Eichhorn and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Science categories.
Effective Field Theory In Particle Physics And Cosmology
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Author : Sacha Davidson
language : en
Publisher: Oxford University Press
Release Date : 2020-04-20
Effective Field Theory In Particle Physics And Cosmology written by Sacha Davidson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-20 with Science categories.
The topic of the CVIII session of the Ecole de Physique des Houches, held in July 2017, was Effective Field Theory in Particle Physics and Cosmology. Effective Field Theory (EFT) is a general method for describing quantum systems with multiple length scales in a tractable fashion. It allows to perform precise calculations in established models (such as the Standard Models of particle physics and cosmology), as well as to concisely parametrise possible effects from physics beyond the Standard Models. The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations. This is all the more important as there are preciously few textbooks covering the subject, none of them in a complete way. In this book, the lecturers present the concepts in a pedagogical way so that readers can adapt some of the latest developments to their own problems. The chapters cover almost all the lectures given at the school and will serve as an introduction to the topic and as a reference manual to students and researchers.
Principles Of Phase Structures In Particle Physics
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Author : Hildegard Meyer-ortmanns
language : en
Publisher: World Scientific
Release Date : 2006-12-06
Principles Of Phase Structures In Particle Physics written by Hildegard Meyer-ortmanns and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-06 with Science categories.
The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.
Particle Physics And Cosmology
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Author : Howard E. Haber
language : en
Publisher: World Scientific
Release Date : 2004
Particle Physics And Cosmology written by Howard E. Haber and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This book contains the lecture courses conducted at the School of the Theoretical Advanced Study Institute (TASI, Colorado, USA) on Elementary Particle Physics in 2002. In this School, three series of lectures are presented in parallel in the area of phenomenology, TeV-scale physics, and astroparticles physics. The phenomenology lecture series covered a broad spectrum of standard research techniques used to interpret present day and future collider data. The TeV-scale physics lecture series focused on modern speculations about physics beyond the Standard Model, with an emphasis on supersymmetry and extra-dimensional theories. The lecture series on astroparticle physics treated recent developments in theories of dark matter and dark energy, the cosmic microwave background, and prospects for the upcoming era of gravitational wave astronomy.
Finite Temperature Field Theory
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Author : Joseph I. Kapusta
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27
Finite Temperature Field Theory written by Joseph I. Kapusta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Science categories.
Develops the basic formalism and theoretical techniques for relativistic quantum field theory at high temperature and density; now Open Access.
Physics In D 4 Tasi 2004 Proceedings Of The Theoretical Advanced Study Institute In Elementary Particle Physics
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Author : John Terning
language : en
Publisher: World Scientific
Release Date : 2006-07-07
Physics In D 4 Tasi 2004 Proceedings Of The Theoretical Advanced Study Institute In Elementary Particle Physics written by John Terning and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-07 with Science categories.
This book contains write-ups of lectures from a summer school for advanced graduate students in elementary particle physics. In the first lecture, Scott Willenbrock gives an overview of the standard model of particle physics. This is followed by reviews of specific areas of standard model physics: precision electroweak analysis by James Wells, quantum chromodynamics and jets by George Sterman, and heavy quark effective field by Matthias Neubert. Developments in neutrino physics are discussed by André de Gouvea and the theory behind the Higgs boson is addressed by Laura Reina. Collider phenomenology from both experimental and theoretical perspectives are highlighted by Heidi Schellman and Tao Han. A brief survey of dynamical electroweak symmetry breaking is provided by R Sekhar Chivukula and Elizabeth H Simmons. Martin Schmaltz covers the recent proposals for “little” Higgs theories. Markus Luty describes what is needed to make supersymmetric theories realistic by breaking supersymmetry. There is an entire series of lectures by Raman Sundrum, Graham Kribs, and Csaba Csáki on extra dimensions. Finally, Keith Olive completes the book with a review of astrophysics.