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The empirical import of gauge symmetry

Richard Healey

in Gauging What's Real: The Conceptual Foundations of Gauge Theories

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.003.0006
Subject:
Philosophy, Philosophy of Science

This chapter argues that gauge symmetry is a purely formal feature of our theoretical representations with no empirical consequences. It distinguishes theoretical symmetries of a theory from ... More


Breaking Symmetries

Gian Francesco Giudice

in A Zeptospace Odyssey: A Journey into the Physics of the LHC

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199581917
eISBN:
9780191723001
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199581917.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Symmetries play a fundamental role in modern physics. This chapter introduces this concept by discussing the meaning of symmetries in mathematics and in physics, explaining the significance of Lie ... More


Symmetries IV: Local symmetries in field theory

Anthony Duncan

in The Conceptual Framework of Quantum Field Theory

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199573264
eISBN:
9780191743313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573264.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines the additional rich structure introduced when a local quantum field theory displays a local gauge symmetry. It shows how such symmetries require a generalization of the ... More


Quantum Gauge Theories

Xiao-Gang Wen

in Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199227259
eISBN:
9780191713019
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227259.003.06
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The last few chapters have discussed many-boson theory and many-fermion theory because nature has many-boson systems and many-fermion systems. Do many-boson/many-fermion theories describe all the ... More


Loop representations

Richard Healey

in Gauging What's Real: The Conceptual Foundations of Gauge Theories

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.003.0007
Subject:
Philosophy, Philosophy of Science

This chapter explains the idea of a loop representation of a quantum field theory. Loop representations are important because they offer the prospect of a ‘gauge-free’ formulation of a gauge theory. ... More


Symmetry Perforce

Michael Munowitz

in Knowing: The Nature of Physical Law

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195167375
eISBN:
9780199787104
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195167375.003.0009
Subject:
Physics, History of Physics

In symmetry there is force. First, the indistinguishability of quantum mechanical particles divides the world into bosons and fermions, force and matter. Interchange symmetry imposes an exclusionary ... More


Critical Properties Of Gauge Theories

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/9780198509233.003.0034
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter considers lattice models with gauge symmetry and discusses their properties from the point of view of phase transitions and spectrum structure. It focuses on pure lattice gauge theories ... More


Gauge Theory of Spin Glasses

Hidetoshi Nishimori

in Statistical Physics of Spin Glasses and Information Processing: An Introduction

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Studying how reliable the predictions of the mean-field theory are in realistic finite-dimensional systems presents an important problem. It is, in general, very difficult to investigate two- and ... More


Path integral and anomaly

Reinhold A. Bertlmann

in Anomalies in Quantum Field Theory

Published in print:
2000
Published Online:
February 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 4 presented a thorough investigation of the anomaly within perturbation theory. This chapter presents the nonperturbative view. Section 5.1 performs a chiral transformation of the path ... More


BEC: Its definition, origin, occurrence, and consequences

A.J. Leggett

in Quantum Liquids: Bose condensation and Cooper pairing in condensed-matter systems

Published in print:
2006
Published Online:
January 2008
ISBN:
9780198526438
eISBN:
9780191711954
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526438.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter contains a general discussion of the phenomenon of BEC, under conditions much broader than those realized in the equilibrium noninteracting system introduced in Chapter 1. A definition ... More


Symmetries

John Iliopoulos

in The Origin of Mass: Elementary Particles and Fundamental Symmetries

Published in print:
2017
Published Online:
December 2017
ISBN:
9780198805175
eISBN:
9780191843259
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805175.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, History of Physics

The concept of symmetry plays a central role in our understanding of the fundamental laws of Nature. Through a deep mathematical theorem due to A.E. Noether, all conservation laws of classical ... 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


Relativistic quantum mechanics

G. Barr, R. Devenish, R. Walczak, and T. Weidberg

in Particle Physics in the LHC Era

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198748557
eISBN:
9780191811203
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198748557.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter starts with a brief summary of special relativity, describing how 4-vectors and the Lorentz transformation can be represented by complex matrices. Spinors are introduced as basic ... More


Properties of Non-Instant and Nonlocal Corrections

Klaus Morawetz

in Interacting Systems far from Equilibrium: Quantum Kinetic Theory

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198797241
eISBN:
9780191838743
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198797241.003.0014
Subject:
Physics, Condensed Matter Physics / Materials

The derived nonlocal and non-instant shifts are discussed with respect to various symmetries and gauges. The classical counterparts are derived and found in agreement with the expected ... More


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