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Introduction to 3+1 Numerical Relativity

Miguel Alcubierre

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199205677
eISBN:
9780191709371
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205677.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book introduces the modern field of 3+1 numerical relativity. It has been written in a way as to be as self-contained as possible, and assumes a basic knowledge of special relativity. Starting ... More


Chern-Simons Theory, Matrix Models, and Topological Strings

Marcos Mariño

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string ... More


STRING THEORY AND GAUGE THEORY

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/9780198568490.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the relationship between gauge theories and topological strings. A precise correspondence between string theory and gauge theory was formulated by 't Hooft (1974), who used as a ... More


GAUGE MEDIATION

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/9780198567639.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter focuses on the basic idea of gauge mediation. There are three sectors in the theory: a dynamical SUSY breaking sector, a messenger sector, and the MSSM. SUSY breaking is communicated to ... More


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


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

Xiao-Gang Wen

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199227259
eISBN:
9780191713019
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227259.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been an emergence of a new ... More


Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo (eds)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The book is based on the lectures delivered at the XCIII Session of the ´Ecole de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of Ph.D. ... 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


Suggestions from Physics for Deep Metaphysics

Tim Maudlin

in The Metaphysics Within Physics

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199218219
eISBN:
9780191711596
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199218219.003.0004
Subject:
Philosophy, Metaphysics/Epistemology

Universals have been regarded with a jaundiced eye throughout philosophical history. The nominalist dictum — items described by the same term have nothing in common but the name — suggests that the ... More


Electromagnetic fields

Mauro Fabrizio and Morro Angelo

in Electromagnetism of Continuous Media: Mathematical Modelling and Applications

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198527008
eISBN:
9780191713316
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527008.003.0001
Subject:
Mathematics, Applied Mathematics

This chapter presents the basic notions of electromagnetism, chiefly the balance laws in global and local form. The corresponding Maxwell’s differential equations and boundary conditions are then ... 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


QUANTUM THEORY OF MULTIPOLE MOMENTS AND POLARIZABILITIES

R. E. Raab and O. L. de Lange

in Multipole Theory in Electromagnetism: Classical, quantum, and symmetry aspects, with applications

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198567271
eISBN:
9780191717970
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567271.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

The semi-classical Hamiltonian for a charge distribution in an electromagnetic field is used to obtain quantum-mechanical expressions for the multipole polarizability tensors describing the induction ... More


NONPERTURBATIVE RESULTS

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/9780198567639.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The previous chapter showed that in order to understand SUSY breaking, nonperturbative SUSY theories need to be studied. Progress in this area requires an understanding of some standard ... More


HOLOMORPHY

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/9780198567639.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Two of the early exciting observations about ☐ = 1 SUSY gauge theories were the absence of quadratic loop corrections to scalar masses and the absence of renormalization for many superpotentials. ... More


LINEAR RESPONSE THEORY OF QUANTUM ELECTRONIC TRANSPORT

Pier A. Mello and Narendra Kumar

in Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the linear response theory of Kubo and its specialization to calculating the conductance of a narrow constriction connected adiabatically to reservoirs through widening horns. ... More


Mirror Symmetry, Hitchin's Equations, and Langlands Duality

Edward Witten

in The Many Facets of Geometry: A Tribute to Nigel Hitchin

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199534920
eISBN:
9780191716010
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534920.003.0007
Subject:
Mathematics, Geometry / Topology

This chapter begins with a discussion of the A-model and B-model. It then describes mirror symmetry and Hitchin's equations, Hitchin fibration, ramification, wild ramification, and four-dimensional ... More


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

Richard Healey

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199287963
eISBN:
9780191713453
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199287963.001.0001
Subject:
Philosophy, Philosophy of Science

Gauge theories have provided our best representations of the fundamental forces of nature. But a representation may be successfully employed even without a clear understanding of how it works. This ... More


Field Quantization and Vacuum Energy in the Presence of Boundaries

M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko

in Advances in the Casimir Effect

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199238743
eISBN:
9780191716461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238743.003.0003
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

From the standpoint of quantum field theory, the Casimir effect is related to the vacuum polarization that arises in quantization volumes restricted by boundaries or in spaces with nontrivial ... More


The Aharonov–Bohm effect

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/9780199287963.003.0002
Subject:
Philosophy, Philosophy of Science

This chapter introduces the Aharonov-Bohm effect and explains why it poses a challenge to classical conceptions of how electricity and magnetism act on charged particles. It offers a critical ... More


Classical gauge theories

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/9780199287963.003.0003
Subject:
Philosophy, Philosophy of Science

This chapter extends the analysis of classical gauge theories to encompass both non-Abelian Yang-Mills theories and the general theory of relativity. It explains what is meant by a non-Abelian ... More


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