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Duality

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/9780199577224.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Exact solutions of model systems are the most reliable source of information. However, there are not many model systems that can be exactly solved and, consequently, many approximate schemes such as ... More


Modern Supersymmetry: Dynamics and Duality

John Terning

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567639
eISBN:
9780191718243
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567639.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The book begins with a brief review of supersymmetry, the construction of the minimal supersymmetric standard model, and approaches to supersymmetry breaking. General non-perturbative methods are ... More


Post-war separation: Manchester and London

John Jenkin

in William and Lawrence Bragg, Father and Son: The Most Extraordinary Collaboration in Science

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199235209
eISBN:
9780191715631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235209.003.00018
Subject:
Physics, History of Physics

Wartime Nobel Prizes were honoured in Sweden in 1920, but William declined because ‘several Germans are going’. Lawrence returned to Cambridge, met Alice Hopkinson, but was appointed to succeed ... More


MORE SEIBERG DUALITY

John Terning

in Modern Supersymmetry: Dynamics and Duality

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567639
eISBN:
9780191718243
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567639.003.0011
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter focuses on the dualities for SO (N) and Sp (2N) theories. The SO theories exhibit some interesting new features since they can be non-screening if there are no spinor ... More


GEOMETRIC TRANSITIONS

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Gopakumar and Vafa demonstrated in an important paper (1999) that there is a closed string theory leading to the resummations (2.179) and (2.181). The intuition behind the result of Gopakumar and ... More


Clebsch–Gordan series for spinors

Adam M. Bincer

in Lie Groups and Lie Algebras: A Physicist's Perspective

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199662920
eISBN:
9780191745492
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662920.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The derivation of the Clebsch–Gordan series starts from the observation that the object (C –1 γA ) α ... More


FLUCTUATIONS NEAR SUPERCONDUCTOR-INSULATOR TRANSITION

Anatoly Larkin and Andrei Varlamov

in Theory of Fluctuations in Superconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the quantum phase transition using the example of superconductor-insulator transition. For the 3D case, a version of the Ginzburg-Landau formalism is formulated from both ... More


Never Certain

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/9780195167375.003.0007
Subject:
Physics, History of Physics

The grain of nature is not infinitesimally fine. Neither momentum nor energy nor anything else in nature can be sliced so thinly as to fade away on a microscopic scale. Every transaction is processed ... More


The Quantum Divide: Why Schrödinger's Cat is Either Dead or Alive

Christopher C. Gerry and Kimberley M. Bruno

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199666560
eISBN:
9780191748646
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666560.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

Using a selection of key experiments performed over the past thirty years or so, this book presents a discussion of the strikingly counter-intuitive phenomena of the quantum world that defy ... More


Basic Quantum Mechanics

Stephen C. Rand

in Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199574872
eISBN:
9780191722219
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574872.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

Chapter 2 begins with a discussion of the de Broglie wave concept that is the foundation of quantum mechanics. The idea that particles can exhibit wave‐like behavior is an important part of the ... More


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