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INDEX THEOREM ON THE LATTICE AND CHIRAL 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/9780198529132.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Recent progress in the treatment of Dirac fields in lattice gauge theory has allowed the chiral symmetry and associated anomaly on the lattice to be discussed in a manner similar to that in continuum ... More


Lattice gauge theory beyond the Standard Model

Thomas Appelquist and Ethan T. Neil

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

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter gives an overview of methods and recent studies in the application of lattice gauge theory to physics beyond the standard model. It focuses on theories in which electroweak symmetry is ... More


Scales IV: Long-distance structure of quantum 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/9780199573264.003.0019
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter focuses on aspects of the long-distance behaviour of field theory. In a theory with only massive fields, this behaviour is essentially trivial: clustering is exponentially rapid, with ... More


Kosterlitz—Thouless transition

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/9780199577224.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

As the spatial dimensionality $d$ decreases, fluctuations become larger and the stability of the low-temperature ordered state deteriorates. The dimensionality where long-range order disappears is ... 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


The essential role of functional integrals in modern physics

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 3 illustrates by a number of examples the essential role of functional integrals in physics. For example, the path integral representation of quantum mechanics explains why many basic ... More


Relational Blockworld Approach to Unification and Quantum Gravity

Michael Silberstein, W.M. Stuckey, and Timothy McDevitt

in Beyond the Dynamical Universe: Unifying Block Universe Physics and Time as Experienced

Published in print:
2018
Published Online:
March 2018
ISBN:
9780198807087
eISBN:
9780191844850
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198807087.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics, History of Physics

The main thread of chapter 6 prompts the need for quantum gravity (QG) and introduces the RBW approach to QG, unification in particle physics, dark matter, and dark energy. The details of RBW’s ... More


Practical Quantum Mechanics: Modern Tools and Applications

Efstratios Manousakis

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

The book contains lectures notes for a graduate two-semester course in quantum mechanics. It differs from other quantum mechanics textbooks as various parts of the book are inspired by rather recent ... More


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