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Lecture notes for a one-semester master-level course on analytical mechanics and classical field theory, covering: 0 Mathematical Introduction, 1 Lagrangian Mechanics, 2 Application: Motion in Central Fields, 3 Hamiltonian Mechanics, 4…

Classical Physics · Physics 2025-03-24 Tomas Brauner

This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information…

Information Theory · Computer Science 2010-06-09 Neri Merhav

An encyclopedia article on mathematical aspects of quantum field theory in curved spacetime. Section titles are: Introduction and preliminaries; Construction of *-algebra for a real linear scalar field on globally hyperbolic spacetimes and…

General Relativity and Quantum Cosmology · Physics 2007-08-09 Bernard S. Kay

Effective field theory is considered to provide a highly useful framework for connecting nuclear physics with the symmetries and dynamics of the underlying theory of strong interactions, QCD. Of many issues that are of great current…

Nuclear Theory · Physics 2009-10-31 Kuniharu Kubodera

The notion of temperature in many body elementary particle processes is in a common use for decades. Thermal models have become simple and universal effective tools to describe particle production -- not only in high energy heavy ion…

High Energy Physics - Phenomenology · Physics 2014-12-30 Ludwik Turko

I propose a prescription for separating the high- and low-energy contributions in effective field theories. This prescription allows a relativistic treatment of matter fields in chiral perturbation theory while the power counting remains…

High Energy Physics - Phenomenology · Physics 2008-02-03 Hua-Bin Tang

These lecture notes cover mainly three connected topics. In the first part we give a detailed treatment of cosmological perturbation theory. The second part is devoted to cosmological inflation and the generation of primordial fluctuations.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Norbert Straumann

A closed set of equations for the evolution of linear perturbations of homogeneous, isotropic cosmological models can be obtained in various ways. The simplest approach is to assume a macroscopic equation of state, e.g.\ that of a perfect…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Anton K. Rebhan , Dominik J. Schwarz

We apply the effective field theory approach to the coupled metric-inflaton system, in order to investigate the impact of higher dimension operators on the spectrum of scalar and tensor perturbations in the short-wavelength regime. In both…

High Energy Physics - Theory · Physics 2009-09-28 Cristian Armendariz-Picon , Michele Fontanini , Riccardo Penco , Mark Trodden

This is a very gentle introductory course on quantum mechanics aimed at the first years of the undergraduate level. The basic concepts are introduced, with many applications and illustrations. Contains 12 short chapters of equal length,…

Quantum Physics · Physics 2010-07-26 Bram Gaasbeek

Thermal properties of quantum fields at finite temperature are crucial to understanding strongly interacting matter and recent development in quantum computing has provided an alternative and promising avenue of study. In this work, we…

High Energy Physics - Phenomenology · Physics 2024-07-23 Wenyang Qian , Bin Wu

We present an explicit formulation of cosmological perturbation theory for three-field models with a flat field space. By performing rotations to align one field with the direction of curvature perturbations and applying the same rotations…

High Energy Physics - Theory · Physics 2026-01-28 Amjad Ashoorioon , Shinji Mukohyama , Kazem Rezazadeh , Navid Talebizadeh

We study the question of generalizing light-front field theories to finite temperature. We show that the naive generalization has serious problems and we identify the source of the difficulty. We provide a proper generalization of these…

High Energy Physics - Theory · Physics 2008-11-26 V. S. Alves , Ashok Das , Silvana Perez

In this thesis I present a short review of ideas in quantum information theory. The first chapter contains introductory material, sketching the central ideas of probability and information theory. Quantum mechanics is presented at the level…

Quantum Physics · Physics 2007-05-23 Robert H. Schumann

Effective field theory provides a perturbative framework to study the evolution of cosmological large-scale structure. We investigate the underpinnings of this approach, and suggest new ways to compute correlation functions of cosmological…

High Energy Physics - Theory · Physics 2014-07-16 Sean M. Carroll , Stefan Leichenauer , Jason Pollack

These notes contain the written version of lectures given at the 2009 Les Houches Summer School "Modern perspectives in lattice QCD: Quantum field theory and high performance computing." The goal is to provide a pedagogical introduction to…

High Energy Physics - Lattice · Physics 2015-03-13 Maarten Golterman

These lecture notes intend to form a short pedagogical introduction to inflationary cosmology, highlighting selected areas of recent progress such as reheating and the theory of cosmological perturbations. Problems of principle for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert H. Brandenberger

These lectures introduce some of the basic ideas of effective field theories. The topics discussed include: relevant and irrelevant operators and scaling, renormalization in effective field theories, decoupling of heavy particles, power…

High Energy Physics - Phenomenology · Physics 2009-10-28 Aneesh V. Manohar

There is a growing consensus that physics majors need to learn computational skills, but many departments are still devoid of computation in their physics curriculum. Some departments may lack the resources or commitment to create a…

Physics Education · Physics 2009-11-13 Todd Timberlake , Javier E. Hasbun

These lectures provide an elementary introduction to Chiral Perturbation Theory, focused on the sector of pseudoscalar meson interactions. Basic concepts and technical methods of this approach are discussed on general grounds and with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gilberto Colangelo , Gino Isidori