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Pseudo-Symmetry

Peter Müller

in Crystal Structure Refinement: A Crystallographer's Guide to SHELXL

Published in print:
2006
Published Online:
September 2010
ISBN:
9780198570769
eISBN:
9780191718809
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570769.003.0006
Subject:
Physics, Crystallography: Physics

Having more than one molecule in the asymmetric unit occurs predominantly in space groups of low symmetry. In most of these cases, the independent molecules are not related by simple symmetry ... 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


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


Internal symmetry and gauge interactions

Ta-Pei Cheng

in Einstein's Physics: Atoms, Quanta, and Relativity - Derived, Explained, and Appraised

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199669912
eISBN:
9780191744488
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669912.003.0016
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

We review gauge invariance in classical electrodynamics and in quantum mechanics, showing that the gauge transformation must involve a spacetime-dependent phase change of the wavefunction for a ... 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


Lagrange formalism in field theory

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/9780198838319.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter is devoted to a general discussion of classical field theory. It presents the minimum information required about classical fields for the subsequent treatment of quantum theory in the ... More


Classical Electromagnetism

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0027
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this chapter, Noether’s theorem as a classical field theory is presented and the properties of variations are again discussed for fields (i.e. field variations, space variations, time variations, ... More


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