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Introduction to Effective Field Theories

Aneesh V. Manohar

in Effective Field Theory in Particle Physics and Cosmology: Lecture Notes of the Les Houches Summer School: Volume 108, July 2017

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198855743
eISBN:
9780191889370
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198855743.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Introductory lectures on effective field theory (EFT) methods as used in high-energy physics to compute experimentally observable quantities. Topics covered in this chapter, which is based on these ... More


The Non-Linear σ-Model: An Example Of a Non-Linear Symmetry

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter considers models possessing global symmetries non-linearly realized on the fields. This implies, in particular, that under an in infinitesimal group transformation, the variation of the ... More


Quantum Field Theory at Higher Orders

Laurent Baulieu, John Iliopoulos, and Roland Sénéor

in From Classical to Quantum Fields

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788393
eISBN:
9780191830310
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788393.003.0016
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Perturbation theory calculations at higher orders. Power counting. General regularisation schemes. Dimensional regularisation. Explicit 1-loop renormalisation for ϕ‎4 and QED. Discussion of higher ... More


General notions of perturbative quantum gravity

Iosif L. Buchbinder and Ilya L. Shapiro

in Introduction to Quantum Field Theory with Applications to Quantum Gravity

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198838319
eISBN:
9780191874666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198838319.003.0018
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter introduces the topic of perturbative quantum gravity. Symmetry analysis of classical gravitational models shows that quantum gravity is a Yang-Mills theory. Using power counting, ... More


Effective Field Theory in Particle Physics and Cosmology: Lecture Notes of the Les Houches Summer School: Volume 108, July 2017

Sacha Davidson, Paolo Gambino, Mikko Laine, Matthias Neubert, and Christophe Salomon (eds)

Published in print:
2020
Published Online:
August 2020
ISBN:
9780198855743
eISBN:
9780191889370
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198855743.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models ... More


Renormalisation I: Perturbation theory

Michael Kachelriess

in Quantum Fields: From the Hubble to the Planck Scale

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198802877
eISBN:
9780191841330
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802877.003.0011
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

After giving an overview about regularisation and renormalisation methods, this chapter shows the calculation of the anomalous magnetic moment of the electron in QED. Using a power counting argument, ... More


Ultraviolet divergences: Effective field theory (EFT)

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Only local relativistic quantum field theories (QFT) are considered: the action that appears in the field integral is the integral of a classical Lagrangian density, function of fields and their ... More


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