Non-perturbative Methods in Quantum Field Theory and Quantum Gravity
نویسندگان
چکیده
Title of dissertation: NON-PERTURBATIVE METHODS IN QUANTUM FIELD THEORY AND QUANTUM GRAVITY Anton de la Fuente, Doctor of Philosophy, 2016 Dissertation directed by: Professor Raman Sundrum Department of Physics This thesis considers non-perturbative methods in quantum field theory with applications to gravity and cosmology. In particular, there are chapters on black hole holography, inflationary model building, and the conformal bootstrap. NON-PERTURBATIVE METHODS IN QUANTUM FIELD THEORY AND QUANTUM GRAVITY by Anton de la Fuente Dissertation submitted to the Faculty of the Graduate School of the University of Maryland, College Park in partial fulfillment of the requirements for the degree of Doctor of Philosophy 2016 Advisory Committee: Professor Raman Sundrum, Chair/Advisor Professor Thomas Cohen Professor Jonathan Rosenberg Professor Zackaria Chacko Professor Rabindra Mohapatra
منابع مشابه
Perturbative Approach to Calculating the Correlation Function of bi-isotropic Metamaterials
A bi-isotropic magneto-electric metamaterials is modeled by two independent reservoirs. The reservoirs contain a continuum of three dimensional harmonic oscillators, which describe polarizability and magnetizability of the medium. The paper aimed to investigate the effect of electromagnetic field on bi-isotropic. Starting with a total Lagrangian and using Euler-Lagrange equation, researcher cou...
متن کاملSpacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
This is an introduction to spin foam models for non-perturbative quantum gravity, an approach that lies at the point of convergence of many different research areas, including loop quantum gravity, topological quantum field theories, path integral quantum gravity, lattice field theory, matrix models, category theory, statistical mechanics. We describe the general formalism and ideas of spin foa...
متن کاملTwo-dimensional Quantum Field Theory, examples and applications
The main principles of two-dimensional quantum field theories, in particular two-dimensional QCD and gravity are reviewed. We study non-perturbative aspects of these theories which make them particularly valuable for testing ideas of four-dimensional quantum field theory. The dynamics of confinement and theta vacuum are explained by using the non-perturbative methods developed in two dimensions...
متن کاملTowards a Background Independent Formulation of Perturbative Quantum Gravity
The recent formulation of locally covariant quantum field theory may open the way towards a background independent perturbative formulation of Quantum Gravity. 1 Problems of perturbative Quantum Gravity In quantum field theory the fields are defined as operator-valued distributions on a given spacetime, and many of their properties, in particular the commutativity at spacetime separated points,...
متن کاملQuantum gravity as sum over spacetimes
A major unsolved problem in theoretical physics is to reconcile the classical theory of general relativity with quantum mechanics. These lectures will deal with an attempt to describe quantum gravity as a path integral over geometries. Such an approach has to be non-perturbative since gravity is a non-renormalizable quantum field theory when the dimension of spacetime is four. In that case the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016