Jump to ContentJump to Main Navigation

You are looking at 1-18 of 18 items

  • Keywords: asymptotic freedom x
Clear All Modify Search

View:

High temperature expansions for magnets at H = 0

Barry M. McCoy

in Advanced Statistical Mechanics

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199556632
eISBN:
9780191723278
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556632.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the results of high temperature series expansions for classical n component spin models with nearest neighbor interactions for two and three dimensions. In dimension three this ... More


The Standard Model. Anomalies

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/9780198509233.003.0020
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 19 discussed the structure and the formal properties of non-abelian gauge theories. This chapter applies this formalism to the description of some general properties of the Standard Model of ... More


The Principles of Renormalisation

J. Iliopoulos and T.N. Tomaras

in Elementary Particle Physics: The Standard Theory

Published in print:
2021
Published Online:
December 2021
ISBN:
9780192844200
eISBN:
9780191926983
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844200.003.0015
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Loop diagrams often yield ultraviolet divergent integrals. We introduce the concept of one-particle irreducible diagrams and develop the power counting argument which makes possible the ... More


O(N) vector model in the ordered phase: Goldstone modes

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 10 examines the case of the spontaneous breaking of a continuous symmetry. When there is spontaneous symmetry breaking, the correlation length diverges at all temperatures in the ordered ... More


The Strong Interactions

J. Iliopoulos and T.N. Tomaras

in Elementary Particle Physics: The Standard Theory

Published in print:
2021
Published Online:
December 2021
ISBN:
9780192844200
eISBN:
9780191926983
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844200.003.0021
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

For many years strong interactions had a well-deserved reputation for complexity. Their apparent strength rendered perturbation theory inapplicable. However, in the late 1960s a series of experiments ... More


Quantum chromodynamics: A non-Abelian gauge theory

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 13 is devoted to some aspects of quantum chromodynamics (QCD), the part of the Standard Model of particle physics responsible for strong interactions and based on an SU(3) gauge symmetry (the ... More


The renormalization group

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0035
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The renormalization group is introduced in this chapter. Examples treated include asymptotic freedom, Anderson localization, and the Kosterlitz–Thouless transition.


Large-momentum behaviour in quantum field theory (QFT)

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/9780198834625.003.0024
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Renormalization group (RG) equations are used to characterize the large momentum behaviour of renormalized quantum field theories (QFT), assuming implicitly that such a universal large momentum ... More


The Existence of Field Theories beyond the Perturbation Expansion

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/9780198788393.003.0024
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The standard model of fundamental interactions. A brief summary of the phenomenology of weak interactions. The construction of the electroweak theory and its experimental consequences. The deep ... More


More on the Fundamental Forces and Their “Carriers”

Alvaro De Rújula

in Enjoy Our Universe: You Have No Other Choice

Published in print:
2018
Published Online:
February 2020
ISBN:
9780198817802
eISBN:
9780191859366
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198817802.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

A discussion of the “carriers” of the basic forces of nature and the way they “work.” Electrical charges and their interaction with photons (QED). Gravitons and the identity of inertial and ... More


Some Consequences of the Renormalisation Group

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/9780198788393.003.0019
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The use of the renormalisation group and the Callan–Symanzik equations in the study of the asymptotic behaviour of Green functions. The stability properties of a Lagrangian field theory. The ... More


Epilogue and future work

Massimiliano Di Ventra

in MemComputing: Fundamentals and Applications

Published in print:
2022
Published Online:
March 2022
ISBN:
9780192845320
eISBN:
9780191937521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192845320.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This Chapter summarizes the book’s main points and offers ideas for further research in the field of MemComputing. It also makes connections with several physical theories such as Renormalization ... More


One-loop divergences

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/9780198838319.003.0014
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter focuses on one-loop calculations and related issues such as practical renormalization and the derivation of beta functions. The general result for the one-loop divergences from chapter ... More


Quantum Chromodynamics

Michael E. Peskin

in Concepts of Elementary Particle Physics

Published in print:
2019
Published Online:
November 2019
ISBN:
9780198812180
eISBN:
9780191850301
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812180.003.0011
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter introduces non-Abelian gauge symmetry and the associated field equations for spin-1 particles. It proposes the gauge theory Quantum Chromodynamics as the theory of the strong ... More


A few solvable two-dimensional quantum field theories (QFT)

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/9780198834625.003.0030
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The chapter is devoted to several two-dimensional quantum field theories (QFT), whose properties can be determined by non-perturbative methods. The Schwinger model, a model of two-dimensional quantum ... More


Generalized non-linear σ-models in two dimensions

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/9780198834625.003.0029
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter describes the formal properties, and discusses the renormalization, of quantum field theories (QFT) based on homogeneous spaces: coset spaces of the form G/H, where G is a compact Lie ... More


Gross–Neveu–Yukawa and Gross–Neveu models

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/9780198834625.003.0020
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this chapter, a model is considered that can be defined in continuous dimensions, the Gross– Neveu–Yukawa (GNY) model, which involves N Dirac fermions and one scalar field. The model has a ... More


Particle physics II

Ian R. Kenyon

in Quantum 20/20: Fundamentals, Entanglement, Gauge Fields, Condensates and Topology

Published in print:
2019
Published Online:
November 2019
ISBN:
9780198808350
eISBN:
9780191846052
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198808350.003.0019
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

Quantum chromodynamics the quantum gauge theory of strong interactions is presented: SU(3) being the (colour) symmetry group. The colour content of strongly interacting particles is described. ... More


View: