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This is a pedagogical introduction to the treatment of quantum general relativity as an effective field theory. It starts with an overview of the methods of effective field theory and includes an explicit example. Quantum general relativity…

General Relativity and Quantum Cosmology · Physics 2015-06-11 John F. Donoghue

The paper concerns the effective field theory methods used to study the low energy structure of systems with a spontaneously broken symmetry. I first explain how the method works in the context of quantum chromodynamics and then discuss a…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Leutwyler

This is a review of some of the concepts and results of the effective field theory treatment of quantum general relativity. Included are lessons of low energy quantum gravity, and a discussion of the limits of effective field theory…

High Energy Physics - Theory · Physics 2023-01-12 John F. Donoghue

We elaborate on a recently proposed geometric framework for scalar effective field theories. Starting from the action, a metric can be identified that enables the construction of geometric quantities on the associated functional manifold.…

High Energy Physics - Theory · Physics 2025-04-14 Timothy Cohen , Xiaochuan Lu , Zhengkang Zhang

In this lecture we discuss the basic ingredients for gauge invariant quantum field theories. We give an introduction to the elements of quantum field theory, to the construction of the basic Lagrangian for a general gauge theory, and…

High Energy Physics - Phenomenology · Physics 2010-12-20 W. Hollik

Several physical problems in particle physics, nuclear physics, and astrophysics require information from non-perturbative QCD to gain a full understanding. In some cases the most reliable technique for quantitative results is to carry out…

High Energy Physics - Lattice · Physics 2016-11-23 Andreas S. Kronfeld

After the Higgs boson discovery, LHC can be used as a precision machine to explore its properties. Indeed, in case new resonances will not be found, the only access to New Physics would be via measuring small deviations from the SM…

High Energy Physics - Phenomenology · Physics 2017-05-16 Massimiliano Grazzini , Agnieszka Ilnicka , Michael Spira , Marius Wiesemann

This is a pedagogical introduction to the treatment of general relativity as a quantum effective field theory. Gravity fits nicely into the effective field theory description and forms a good quantum theory at ordinary energies.

General Relativity and Quantum Cosmology · Physics 2007-05-23 John F. Donoghue

Effective field theories encode the predictions of a quantum field theory at low energy. The effective theory has a fairly low ultraviolet cutoff. As a result, loop corrections are small, at least if the effective action contains a term…

High Energy Physics - Lattice · Physics 2015-06-25 G. Mack , T. Kalkreuter , G. Palma , M. Speh

In this thesis I study applications of effective field theories to understand aspects of QCD jets and their substructure at the Large Hadron Collider. In particular, I introduce an observable, $D_2$, which can be used for distinguishing…

High Energy Physics - Phenomenology · Physics 2016-05-03 Ian Moult

This article is meant as a summary and introduction to the ideas of effective field theory as applied to gravitational systems. Contents: 1. Introduction 2. Effective Field Theories 3. Low-Energy Quantum Gravity 4. Explicit Quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. P. Burgess

I give a pedagogical introduction to the physics of electroweak symmetry breaking and the uses of effective field theory in the context of Higgs physics. Higgs boson production and decay at the LHC and the consistency of the Higgs…

High Energy Physics - Phenomenology · Physics 2018-01-03 S. Dawson

There are many possible gravitational applications of an effective approach to Quantum Field Theory (QFT) in curved space. We present a brief review of effective approach and discuss its impact for such relevant issues as the cosmological…

High Energy Physics - Theory · Physics 2015-06-26 Ilya L. Shapiro

I give a very brief introduction to the use of effective field theory techniques in quantum calculations of general relativity. The gravitational interaction is naturally organized as a quantum effective field theory and a certain class of…

High Energy Physics - Theory · Physics 2007-05-23 John F. Donoghue

In these 4 lectures, I give a brief introduction to the principles of effective field theory and discuss their application via 3 examples: (i) the Standard Model as an effective theory; (ii) non-linear sigma models and the composite Higgs;…

High Energy Physics - Phenomenology · Physics 2015-06-17 Ben Gripaios

These lecture notes (from the Second Autumn School in High Energy Physics and Quantum Field Theory, Yerevan 2014) cover a number of topics related to geometric quantization. Most of the material is presented from a physicist's point of…

High Energy Physics - Theory · Physics 2016-06-22 V. P. Nair

We present a formulation of scalar effective field theories in terms of the geometry of Lagrange spaces. The horizontal geometry of the Lagrange space generalizes the Riemannian geometry on the scalar field manifold, inducing a broad class…

High Energy Physics - Theory · Physics 2024-02-12 Nathaniel Craig , Yu-Tse Lee , Xiaochuan Lu , Dave Sutherland

This review summarizes Effective Field Theory techniques, which are the modern theoretical tools for exploiting the existence of hierarchies of scale in a physical problem. The general theoretical framework is described, and explicitly…

High Energy Physics - Theory · Physics 2008-11-26 C. P. Burgess

A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold $\mathcal…

High Energy Physics - Phenomenology · Physics 2016-02-04 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar

We formulate a generalization of Higgs effective field theory (HEFT) including arbitrary number of extra neutral and charged Higgs bosons (generalized HEFT, GHEFT) to describe non-minimal electroweak symmetry breaking models. Using the…

High Energy Physics - Phenomenology · Physics 2019-10-23 Ryo Nagai , Masaharu Tanabashi , Koji Tsumura , Yoshiki Uchida
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