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Conformal 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/9780199577224.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The present chapter is an introductory account of the basic concepts and important consequences of conformal symmetry, i.e. the invariance under local scale transformations, in field theories ... More


Conformal Symmetry in Statistical Mechanics

Hans-Peter Eckle

in Models of Quantum Matter: A First Course on Integrability and the Bethe Ansatz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780199678839
eISBN:
9780191878589
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199678839.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

The core of the exposition of the theory of conformal symmetry in statistical mechanics are the concepts of correlation functions of order parameter fields, whose behaviour under conformal ... More


Elements of Phase Transitions and Critical Phenomena

Hidetoshi Nishimori and Gerardo Ortiz

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into ... More


Spontaneous breakdown of local conformal invariance in quantum gravity

Gerard ’t Hooft

in Theoretical Physics to Face the Challenge of LHC: Lecture Notes of the Les Houches Summer School: Volume 97, August 2011

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198727965
eISBN:
9780191794278
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198727965.003.0010
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter shows how the black hole complementarity principle can be naturally implemented by treating local conformal invariance as an exact but spontaneously broken symmetry of quantum gravity. ... More


Quantum fields in curved spacetime

Michael Kachelriess

in Quantum Fields: From the Hubble to the Planck Scale

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198802877
eISBN:
9780191841330
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802877.003.0023
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

After a review of conformal symmetry, this chapter covers the quantisation of fields in curved space-times. It is shown that field operators defined with respect to different vacua are related by a ... More


Lattice models of branched polymers

E.J. Janse Van Rensburg

in The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199666577
eISBN:
9780191748653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666577.003.0002
Subject:
Mathematics, Mathematical Physics

In Chapter 2 the supermultiplicativity of lattice trees and lattice animals are reviewed. Scaling, critical exponents and the Flory theory for models of branched polymers are discussed, as are tree ... More


Cotton-Squared Theory

Flavio Mercati

in Shape Dynamics: Relativity and Relationalism

Published in print:
2018
Published Online:
April 2018
ISBN:
9780198789475
eISBN:
9780191831294
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789475.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Particle Physics / Astrophysics / Cosmology

This chapter analyzes a non-viable theory of gravity based on a Jacobi-type action with a conformally invariant potential term based on the square of the Cotton tensor. This theory has striking ... More


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