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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


Order, Symmetry, and the Organization of Matter

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0002
Subject:
Sociology, Science, Technology and Environment

This chapter introduces the basic concepts and language that will be needed later on: order, symmetry, invariance, broken symmetry, Hamiltonian, condensed matter, order parameter, ground state, and ... 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


Interlude: Symmetry Breaking in Qsm

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0013
Subject:
Philosophy, Philosophy of Science

This chapter and the next explore a response to a natural objection to the conclusion of Chapter 12. The natural objection is, based on models of steaming tea cups that idealize them as infinite in ... More


Broken Symmetry and Physicists' QFT

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0014
Subject:
Philosophy, Philosophy of Science

Chapter 12 argued that quantum statistical mechanics puts unitarily inequivalent representations to use in ways no rigid interpretation can make sense of. Two features of working QFTs which promise a ... More


Path Integrals and Quantum Anomalies

Kazuo Fujikawa and Hiroshi Suzuki

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book provides an introduction to the path integral formulation of quantum field theory and its applications to the analyses of symmetry breaking by the quantization procedure. This symmetry ... More


Interacting boson systems

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/9780199227259.003.03
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces a quantum field theory for interacting boson systems. It develops a mean-field theory to study the superfluid phase. A path integral formulation is then developed to re-derive ... More


The Infinite-Range Spin Glass

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0006
Subject:
Sociology, Science, Technology and Environment

This chapter introduces mean field theory, both as a general class of models and in its specific incarnation in spin glasses, the Sherrington–Kirkpatrick model. This is undoubtedly the most ... More


Statistical field theory

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Statistical-mechanical systems often involve discrete elementary degrees of freedom such as spins in the Ising model. Field theories, on the other hand, have continuous fields, defined over the whole ... More


Topological Classification Of Defects

VOLOVIK GRIGORY E.

in The Universe in a Helium Droplet

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199564842
eISBN:
9780191709906
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199564842.003.0013
Subject:
Physics, Condensed Matter Physics / Materials, Particle Physics / Astrophysics / Cosmology

The effective metric and effective gauge fields are simulated in superfluids by the inhomogeneity of the superfluid vacuum. In superfluids, many inhomogeneous configurations of the vacuum are stable ... More


Topological and Quantum order—beyond Landau’s 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/9780199227259.003.08
Subject:
Physics, Theoretical, Computational, and Statistical Physics

According to the principle of emergence, the properties of material are mainly determined by how the atoms are organized in the material. Such organization is formally called order. The vast range of ... More


Spectroscopic Imaging STM Studies of Electronic Structure in Both the Superconducting and Pseudogap Phases of Underdoped Cuprates

K Fujita, A.R Schmidt, E.-A Kim, M.J Lawler, H Eisaki, S Uchida, and J.C Davis

in Conductor-Insulator Quantum Phase Transitions

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199592593
eISBN:
9780191741050
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199592593.003.0016
Subject:
Physics, Theoretical, Computational, and Statistical Physics

A motivation for the development of atomically resolved spectroscopic imaging STM (SI-STM) has been to study the broken symmetries in the electronic structure of cuprate high temperature ... More


Symmetries III: Global 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/9780199573264.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines the role of global symmetries in local quantum field theories. It shows that exact global symmetries are rare — indeed, if we take gravitational effects into account, probably ... More


Introduction

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/9780199227259.003.01
Subject:
Physics, Theoretical, Computational, and Statistical Physics

A quantitative change can lead to a qualitative change. The system with many degrees of freedom can demonstrate qualitatively new phenomena. This introductory chapter summarizes the principle of ... More


THE JACOBIAN IN PATH INTEGRALS AND QUANTUM ANOMALIES

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter gives a general path integral formulation of the quantum anomaly for chiral symmetry. The quantum anomaly is identified as the Jacobian arising from the symmetry transformation of path ... More


Spontaneous time‐symmetry breaking in a vibrating cold atom system

M.-S. Heo, Y. Kim, H.-R. Noh, and W. Jhe

in Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199691388
eISBN:
9780191742255
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691388.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter describes the experimental and theoretical studies of a spontaneous time-translation symmetry breaking transition in a non-equilibrium cold atom system. Such studies prepare two ... More


Symmetry Breaking In 3He-A And Singular Vortices

VOLOVIK GRIGORY E.

in The Universe in a Helium Droplet

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199564842
eISBN:
9780191709906
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199564842.003.0015
Subject:
Physics, Condensed Matter Physics / Materials, Particle Physics / Astrophysics / Cosmology

The symmetry breaking pattern in A-phase of 3He is similar to that in electroweak phase transition. This chapter discusses the topology of singular topological defects in 3He-A and in analogous ... More


Spin Glasses: General Features

Daniel L. Stein and Charles M. Newman

in Spin Glasses and Complexity

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691147338
eISBN:
9781400845637
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691147338.003.0005
Subject:
Sociology, Science, Technology and Environment

This chapter finally deals with the concept of spin glasses. The intention is not to provide anything approaching a thorough history of the subject. The field today is broad, with threads and ... More


Intransitive Preferences, Vagueness, and the Structure of Procrastination

Duncan MacIntosh

in The Thief of Time: Philosophical Essays on Procrastination

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195376685
eISBN:
9780199776306
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195376685.003.0004
Subject:
Philosophy, Moral Philosophy

Chrisoula Andreou says procrastination qua imprudent delay is modeled by Warren Quinn’s self-torturer, who supposedly has intransitive preferences that rank each indulgence in something that delays ... More


Phase transitions and their devices

Sandip Tiwari

in Nanoscale Device Physics: Science and Engineering Fundamentals

Published in print:
2017
Published Online:
August 2017
ISBN:
9780198759874
eISBN:
9780191820847
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198759874.003.0004
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Phase transitions as a collective response of an ensemble, with appearance of unique stable properties spontaneously, is critical to a variety of devices: electronic, magnetic, optical, and their ... More


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