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Non-minimal Higgs Inflation and Frame Dependence in Cosmology

Non-minimal Higgs Inflation and Frame Dependence in Cosmology
Author: Christian Friedrich Steinwachs
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2013-10-30
Genre: Science
ISBN: 3319018426

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This thesis explores the idea that the Higgs boson of the Standard Model and the cosmological inflation are just two manifestations of one and the same scalar field - the Higgs-inflation. By this unification two energy scales that are separated by many orders of magnitude are connected, thereby building a bridge between particle physics and cosmology. An essential ingredient for making this model consistent with observational data is a strong non-minimal coupling to gravity. Predictions for the value of the Higgs mass as well as for cosmological parameters are derived, and can be tested by future experiments. The results become especially exciting in the light of the recently announced discovery of the Higgs boson. The model of non-minimal Higgs inflation is also used in a quantum cosmological context to predict initial conditions for inflation. These results can in turn be tested by the detection of primordial gravitational waves. The presentation includes all introductory material about cosmology and the Standard Model that is essential for the further understanding. It also provides an introduction to the mathematical methods used to calculate the effective action by heat kernel methods.


From the Fermi Scale to Cosmology

From the Fermi Scale to Cosmology
Author: Alberto Salvio
Publisher: Frontiers Media SA
Total Pages: 265
Release: 2019-12-06
Genre:
ISBN: 2889632059

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Geometric Approaches to Quantum Field Theory

Geometric Approaches to Quantum Field Theory
Author: Kieran Finn
Publisher: Springer Nature
Total Pages: 212
Release: 2021-10-07
Genre: Science
ISBN: 3030852695

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The ancient Greeks believed that everything in the Universe should be describable in terms of geometry. This thesis takes several steps towards realising this goal by introducing geometric descriptions of systems such as quantum gravity, fermionic particles and the origins of the Universe itself. The author extends the applicability of previous work by Vilkovisky, DeWitt and others to include theories with spin 1⁄2 and spin 2 degrees of freedom. In addition, he introduces a geometric description of the potential term in a quantum field theory through a process known as the Eisenhart lift. Finally, the methods are applied to the theory of inflation, where they show how geometry can help answer a long-standing question about the initial conditions of the Universe. This publication is aimed at graduate and advanced undergraduate students and provides a pedagogical introduction to the exciting topic of field space covariance and the complete geometrization of quantum field theory.


One Hundred Years of Gauge Theory

One Hundred Years of Gauge Theory
Author: Silvia De Bianchi
Publisher: Springer Nature
Total Pages: 318
Release: 2020-11-03
Genre: Science
ISBN: 3030511979

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This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world’s leading theoretical physicists, mathematicians, historians and philosophers of science. The contributions from theoretical physics explore e.g. the consistency of the unification of gravitation and quantum theory, the underpinnings of experimental tests of gauge theory and its role in shedding light on the relationship between mathematics and physics. In turn, historians and philosophers of science assess the impact of Weyl’s view on the philosophy of science. Graduate students, lecturers and researchers in the fields of history of science, theoretical physics and philosophy of science will benefit from this book by learning about the role played by Weyl’s Raum-Zeit-Materie in shaping several modern research fields, and by gaining insights into the future prospects of gauge theory in both theoretical and experimental physics. Furthermore, the book facilitates interdisciplinary exchange and conceptual innovation in tackling fundamental questions about our deepest theories of physics. Chapter “Weyl’s Raum-Zeit-Materie and the Philosophy of Science” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com


Bounds on the Effective Theory of Gravity in Models of Particle Physics and Cosmology

Bounds on the Effective Theory of Gravity in Models of Particle Physics and Cosmology
Author: Michael Atkins
Publisher: Springer
Total Pages: 104
Release: 2014-05-13
Genre: Science
ISBN: 3319063677

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The effective theory of quantum gravity coupled to models of particle physics is being probed by cutting edge experiments in both high energy physics (searches for extra dimensions) and cosmology (testing models of inflation). This thesis derives new bounds that may be placed on these models both theoretically and experimentally. In models of extra dimensions, the internal consistency of the theories at high energies are investigated via perturbative unitarity bounds. Similarly it is shown that recent models of Higgs inflation suffer from a breakdown of perturbative unitarity during the inflationary period. In addition, the thesis uses the latest LHC data to derive the first ever experimental bound on the size of the Higgs boson's non-minimal coupling to gravity.


Quantum Fields in Curved Space

Quantum Fields in Curved Space
Author: N. D. Birrell
Publisher: Cambridge University Press
Total Pages: 362
Release: 1984-02-23
Genre: Science
ISBN: 1107392810

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This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.


Post-Planck Cosmology

Post-Planck Cosmology
Author: Cédric Deffayet
Publisher: Oxford University Press, USA
Total Pages: 569
Release: 2015
Genre: Science
ISBN: 0198728859

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This book gathers the lecture notes of the 100th Les Houches Summer School, which was held in July 2013. These lectures represent a comprehensive pedagogical survey of the frontier of theoretical and observational cosmology just after the release of the first cosmological results of the Planck mission. The Cosmic Microwave Background is discussed as a possible window on the still unknown laws of physics at very high energy and as a backlight for studying the late-time Universe. Other lectures highlight connections of fundamental physics with other areas of cosmology and astrophysics, the successes and fundamental puzzles of the inflationary paradigm of cosmic beginning, the themes of dark energy and dark matter, and the theoretical developments and observational probes that will shed light on these cosmic conundrums in the years to come.


Inflationary Cosmology and Fundamental Physics

Inflationary Cosmology and Fundamental Physics
Author: Mark Peter Hertzberg
Publisher:
Total Pages: 196
Release: 2010
Genre:
ISBN:

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This thesis is a collection of several papers at the interface between cosmology, particle physics, and field theory. In the first half, we examine topics that are directly related to inflation: axions, string theory, and non-minimally coupled fields. In particular, we constrain the allowed parameter space of inflationary axion cosmology, identifying a classic window and an anthropic window; we discuss inflation in string theory, proving a no-go theorem for a class of string models; and we examine the quantum field theory governing inflation driven by non-minimally coupled fields, which is relevant to Higgs-inflation. In the second half, we examine other topics: oscillons, entanglement entropy, and the Casimir effect. In particular, we compute the quantum decay of oscillons, finding it to be dramatically different to the classical decay; we establish finite contributions to the entanglement entropy between a pair of regions, including a finite area law; and we compute the Casimir force in a closed geometry, finding an attractive force and invalidating claims of repulsion.


Cosmological Inflation and the Standard Model of Particle Physics

Cosmological Inflation and the Standard Model of Particle Physics
Author: Alexandru Tudorica
Publisher: LAP Lambert Academic Publishing
Total Pages: 56
Release: 2011-12-01
Genre:
ISBN: 9783846592496

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Inflation is the idea that in the early history of the Universe a local Lorentz invariant energy density (an effective cosmological term) dominated the equation of state, causing exponential expansion. It solves a great deal of problems in cosmology while introducing others. One of these additional problems is the origin of the inflaton field that produced the inflation. Extrapolating the Standard Model of Cosmology and the gauge theory of electroweak and strong interactions to very early times and therefore to extremely high energies, we can make verifiable predictions about certain observables. One option is to look for inflationary dynamics based on degrees of freedom already present in the Standard Model of Elementary Physics as it has been shown that such minimal classical Lagrangians can support inflation driven by an interesting interplay between the quartic term and the non-minimal coupling term, the so-called "running inflation." Solving the renormalization group equations up to the Planck energy scale, cosmological parameters are found to be dependent on the top quark and Higgs boson mass.


Inflation and Quantum Cosmology

Inflation and Quantum Cosmology
Author: A.D. Linde
Publisher: Elsevier
Total Pages: 214
Release: 2012-12-02
Genre: Science
ISBN: 0323160131

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Inflation and Quantum Cosmology discusses the inflationary universe scenario, including the problems of the standard big bang theory and the interplay between elementary-particle theory and cosmology. Inflationary universe models generate many different final perturbation spectra. For example, a model of an inflationary universe, through a casual mechanism, can predict energy density fluctuations leading to the formation of galaxies. The inflationary universe scenario makes possible simultaneous solutions to ten problems related to cosmology and elementary particle physics. One problem concerns the origin of density perturbations that show a picture of the large-scale structure of the universe. Some unexplored possibilities are related to isothermal perturbations generated during inflation or to adiabatic perturbations with a non-flat spectrum. An inflationary universe cosmology also includes stochastic inflation that describes the universe on very large scales—from fragmented mini-universes to another inflationary cosmos. The book also discusses the problem relating to the initial conditions from which an inflationary universe starts. This book is suitable for astronomers, astrophysicists, and professors of cosmology and cosmogenesis.