Foundations and applications by martin ammon, johanna erdmenger. It is an example of a gaugegravity duality and is now understood to be a special case of the adscft correspondence. These systems are notoriously difficult to study using traditional methods such as perturbation theory, but the gaugegravity duality offers a successful alternative approach, which maps strongly interacting quantum gauge theories to computationally tractable, classical gravity theories. Gaugegravity duality and nonequilibrium dynamics of strongly coupled quantum systems philipp thomas kleinert merton college, university of oxford a thesis submitted for the degree of doctor of philosophy trinity 2017 abstract this thesis explores applications of gaugegravity duality to strongly coupled quantum eld theories out of equilibrium. I survey the compressible systems studied using gaugegravity duality, and discuss their relationship to the condensed matter classi. These three conditions prompt two conceptually different ways in which a duality can be modified to make room for emergence. These lecture notes only give an outline of the most important concepts. The corresponding amplitude is represented in terms of wilson loops running along. An important fact is that the bulk gravitational newtons constant g n is inversely related to the rank n of the boundary gauge group e.
Gaugegravity duality creates new links between quantum theory and gravity. Introduction to gauge gravity duality lectures at tasi, june 17, 2010 joseph polchinski1 kavli institute for theoretical physics university of california santa barbara, ca 931064030 abstract. It provides as a major tool for describing strongly coupled quantum systems. If youre looking for a free download links of gaugegravity duality. Gaugegravity duality 3 model provides a simple solvable illustration of the problem. Internet archive this is a copy of the 2009 princeton university thesis which examined various aspects of gauge gravity duality, including renormalization group flows, phase transitions of the holographic entanglement entropy, and instabilities associated with the breaking of supersymmetry. Surprisingly, it is well described by fluid dynamics with a very low viscosity close to value calculated from gravity. As a warmup, we explicitly discuss the counterpart of these flows in 4d gauge theories with n 2 supersymmetry by focusing on the a 1 theory. If youre looking for a free download links of gauge gravity duality. The papers should be 510 pages long if you need more space, see me, and you should plan to talk for about 30 minutes. What can gaugegravity duality teach us about condensed. Read gauge gravity duality online, read in mobile or kindle. We perform the analysis of quarkantiquark reggeon exchange in mesonmeson scattering, in the framework of the gauge gravity correspondence in a confining background.
Gaugegravity duality opens new horizons cern courier. Gaugegravity duality the ads 5cft 4 correspondence coordinator. Gaugegravity duality at finite n connecting repositories. On the gauge theory side, reggeon exchange is described as quarkantiquark exchange in the t channel between fast projectiles. Kevin ferreira abstract the introductory point consisting of a description of t hoofts large n limit and its relation with string theory, a quick jump is then made towards the exposition of maldacenas argument of. Pdf aspects of the gaugegravity duality and holography. Renormalization group flows in gauge gravity duality. Introduction to gaugegravity duality tasi lectures 2017. Gauge gravity duality, also known as holography, relates quantum field theories to theories of gravity. Horowitz, joseph polchinski submitted on 10 feb 2006, last revised 18 apr 2006 this version, v3 abstract. Gauge gravity duality has established itself as a significant new link between gravitation and quantum field theory. Detailed information on gaugegravity duality, the adscft correspondence and its applications may be. It relates concepts of information of black hole physics and quantum information theory.
On one side are antide sitter spaces ads which are used in theories of quantum gravity, formulated in terms of string theory or mtheory. Reggeon exchange from gauge gravity duality springerlink. This book is the first textbook on this important topic, enabling graduate students and researchers in string theory and particle, nuclear and condensed matter physics to get acquainted. Presentation mode open print download current view. Strange metal transport realized by gauge gravity duality. It was first demonstrated in the perturbative context of scattering amplitudes but recently the formalism has been applied to exact classical solutions in gauge theories such as the monopole and instanton. Applications of gaugegravity duality to qcd and heavy ion collisions, university of helsinki, 2008, 52 p. Gaugegravity duality by martin ammon cambridge core. Gauge gravity duality foundations applications pdf droppdf. Applications of gaugegravity duality to qcd and heavy ion. Supersymmetric theories however have a natural stability property, because the hamiltonian is the square of a hermitean supercharge and so bounded below. This book is the first textbook on this important topic, enabling graduate. Gaugegravity duality currently offers the best explanation of this fact.
It has led to new concepts in mathematics and physics, and provides new tools to solve problems in. Depending on the context, this is known as gaugestring duality, gaugegravity duality or the adscftcorrespondence. Gauge gravity duality foundations applications pdf 157. It has led to new concepts in mathematics and physics, and provides new tools to solve problems in many areas of theoretical physics. The dictionary of gaugegravity duality gauge theory gravity. Hydrodynamics is the effective theory describing the longdistance, lowfrequency behavior. Andrew strominger and cumrun vafa calculated the entropy of certain configurations of dbranes and found agreement with the semiclassical answer for extreme charged black holes. Gaugegravity duality and nonequilibrium dynamics of. In this dissertation we use gaugegravity duality to investigate various phenomena of strongly coupled field theories. Hall viscosity from gaugegravity duality internet archive. Our main interest in this thesis is in the gauge theory side where much progress has been made due to newly developed calculational tools. In this paper we will investigate how duality symmetries in the gauge theory double copy to. Gaugegravity duality and rhic the quarkgluon plasma produced at rhic is strongly coupled and thermalizes quickly.
The double copy formalism provides an intriguing connection between gauge theories and gravity. Topics for reports in gaugegravity duality phys 230b spring 2012 each student will write a report on a topic in string theory and give a presentation to the class. The author relates fields in the interior to operators in the boundary. For the adscft correspondence, it explains in detail how string theory provides the conjectured map. Introduction to gaugegravity duality lectures at tasi, june 17, 2010 joseph polchinski1 kavli institute for theoretical physics university of california santa barbara, ca 931064030 abstract. This immediately opens up a door to study strongly coupled string theory however in ads via computations in the dual weakly coupled gauge theory and vice versa. In theoretical physics, the antide sitterconformal field theory correspondence, sometimes called maldacena duality or gaugegravity duality, is a conjectured relationship between two kinds of physical theories. Download gauge gravity duality ebook free in pdf and epub format. We discuss rg flows in 5d gauge theories triggered by vevs of either mesonic or baryonic operators. Many examples exist of boundary gauge theories with such a gravity description. I adopt the conception of duality as isomorphism, from the physics literature, cashing it out in terms of three conditions. Download and read free online gaugegravity duality. Gaugegravity duality presents new links between quantum theory and gravity, and provides new tools to solve problems in many areas of theoretical physics.
Review an excellent introduction to the gaugegravity duality and its main applications. The prerequisites for establishing gaugegravity duality in the. When one theory is strongly coupled, and therefore difficult to study directly, the other is. Foundations and applications pdf, epub, docx and torrent then this site is not for you. Detailed information on gauge gravity duality, the adscft correspondence and its applications may be. In this paper i develop a framework for relating dualities and emergence. This chapter is a short introduction to the gaugegravity duality or adscft correspondence. Aspects of the gaugegravity duality and holography.
The author also relates the thermodynamics of the field theory to properties of. Introduction to the gaugegravity duality oxford scholarship. Generalisations to less symmetric cases of gaugegravity duality and their applications are then presented, in particular to finite temperature and density, hydrodynamics, qcdlike theories, the quarkgluon plasma and condensed matter systems. Hydrodynamics from black hole physics gaugegravity duality and its applications p. Read gauge gravity duality foundations applications pdf. This book is the first textbook on this important topic, enabling graduate students and researchers in particle and condensed matter physics to get acquainted with the subject. Moreover, it creates significant new links between gauge theory. Of special interest are quantum phase transitions, quantum critical points, transport phenomena of charges and the thermalization process of strongly coupled medium. Pdf the classical quantum duality of nature including. Gauge gravity duality and rg flows in 5d gauge theories. Download fulltext pdf download fulltext pdf the classical quantum duality of nature including gravity article pdf available in international journal of modern physics d 2803. Applications of the gaugegravity duality springerlink. The second reason i believe philosophers should care about gauge gravity duality.
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